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GENERAL

Influence of energetic heavy ion sputtering on lifetime of alloy target
NI Weirong, HUANG Hailong, LU Xiaoyong, WANG Xiaodong
2025, 74 (1): 010201. doi: 10.7498/aps.74.20240711
Abstract +
When energetic heavy ions are incident on negatively charged structure that collects and deposits ions, ion sputtering will occur. Metal wire is a structure commonly used for accelerating ions, the incidence of continuous high-throughput ions can cause surface loss of metal wire, affecting the service performance and lifespan of the metal wire. The SRIM software commonly used for calculating sputtering yield cannot consider the multi-body interaction problem contained in the alloy crystal structure. So, there is a significant error in calculating the sputtering yield of high-energy ions incident on alloy target. Based on the molecular dynamics method and Langevin temperature control model, the calculation model of ion sputtering parameters of energetic metal ions incident on alloy target is established in this work. The model is used to calculate the sputtering yield under the conditions of intact surface lattice of the target material and long-term incident surface lattice damage. The damages to the cathode metal wire under different incident ion fluences are further calculated, and the cross-sectional characterization of the metal wire is carried under typical working condition. The results show that the discrepancy between the experimental value and the theoretical value is less than 10%, which verifies the accuracy and applicability of the theoretical model. Based on this model, the search direction for sputtering resistant materials is proposed, meanwhile, a theoretical optimization is carried out to improve the service life of metal wire, and a method of using Ni-Ti alloy to improve the service life of metal wires is proposed, which is of great significance for predicting the service life of the metal wire under different conditions.

GENERAL

Reentrant localized bulk and localized-extended edge in quasiperiodic non-Hermitian systems
GUO Gangfeng, Bao Xixi, TAN Lei, LIU Wuming
2025, 74 (1): 010301. doi: 10.7498/aps.74.20240933
Abstract +
The localization is one of the active and fundamental research areas in topology physics. In this field, a comprehensive understanding of how wave functions distribute within a system is crucial. This work delves into this topic by proposing a novel systematic method based on a generalized Su-Schrieffer-Heeger (SSH) model. This model incorporates a quasiperiodic non-Hermitian term that appears at an off-diagonal position, adding a layer of complexity to the traditional SSH framework.By utilizing this model, we analyze the localization behaviors of both bulk state and edge state. For the bulk states, the analysis reveals a fascinating transition sequence. Specifically, the bulk states can undergo an extended-coexisting-localized-coexisting-localized transition, which is induced by the introduction of quasidisorder. This transition is not arbitrary but is rather conformed by the inverse participation ratio (IPR), a metric that quantifies the degree of localization of a wave function. As quasidisorder increases, the bulk states initially remain extended, but gradually, some states begin to be localized. A coexistence region appears where both extended and localized states are present. Further increase in quasidisorder leads to a complete localization of all bulk states. However, remarkably, within a certain range of quasidisorder strengths, the localized states can once again transition back to an extended state, creating another coexistence region. This complex behavior demonstrates the rich and diverse localization properties of the bulk states in non-Hermitian quasiperiodic systems.In addition to the IPR, other metrics such as the normalized participation ratio (NPR) and the fractal dimension of the eigenstates also play important roles in characterizing the localization behavior. These metrics provide a more in-depth understanding of the transition process and help to confirm the existence of the coexistence regions.Overall, we comprehensively analyze the localization behaviors of bulk and edge states in non-Hermitian quasiperiodic systems based on a generalized SSH model. The proposed systematic method present new insights into the complex interplay between quasidisorder, non-Hermiticity, and localization properties in topological physics.

GENERAL

Power spectrum based early warning signal of neuronal firing
LI Songwei, XIE yong
2025, 74 (1): 010501. doi: 10.7498/aps.74.20241471
Abstract +
Brain diseases often occur simultaneously with critical changes in neural system and abnormal neuronal firing. Studying the early warning signals (EWSs) of critical changes can provide a promising approach for predicting neuronal firing behaviors, which is conducible to the early diagnosis and prevention of brain diseases. Traditional EWSs, such as autocorrelation and variance, have been widely used to detect the critical transitions in various dynamical systems. However, these methods have limitations in distinguishing different types of bifurcations. In contrast, the EWSs with power spectrum have shown a significant advantage in not only predicting bifurcation points but also distinguishing the types of bifurcations involved. Previous studies have demonstrated its predictive capability in climate and ecological models. Based on this, this study applies the EWS with power spectrum to neuronal systems in order to predict the neuronal firing behaviors and distinguish different classes of neuronal excitability. Specifically, we compute the EWSs before the occurrence of saddle-node bifurcation on the invariant circle and subcritical Hopf bifurcation in the Morris-Lecar neuron model. Additionally, we extend the analysis to the Hindmarsh-Rose model, calculating the EWSs before both saddle-node bifurcation and supercritical Hopf bifurcation. This study contains the four types of codimension-1 bifurcations corresponding to the neuronal firing. For comparison, we also calculate two types of conventional EWSs: lag-1 autocorrelation and variance. In numerical simulations, the stochastic differential equations are simulated by the Euler-Maruyama method. Then, the simulated responses are detrended by the Lowess filter. Finally, the EWSs are calculated by using the rolling window method to ensure the detection of EWS before bifurcation points. Our results show that the EWS with power spectrum can effectively predict the bifurcation points, which means that it can predict neuronal firing activities. Compared with the lag-1 autocorrelation and the variance, the EWSs with power spectrum not only accurately predict the neuronal firing, but also distinguish the classes of excitability in neurons. That is, according to the different characteristics of the power spectrum frequencies, the EWS with power spectrum can effectively distinguish between saddle-node bifurcations and Hopf bifurcations during neuronal firing. This work provides a novel approach for predicting the critical transitions in neural system, with potential applications in diagnosing and treating brain diseases.

GENERAL

Improved BW model based on MLP neural network optimization
CHEN Cunyu, CHEN Aixi, QI Xiaoqiu, WANG Hankui
2025, 74 (1): 012101. doi: 10.7498/aps.74.20241201
Abstract +
The nuclear mass model has significant applications in nuclear physics, astrophysics, and nuclear engineering. The accurate prediction of binding energy is crucial for studying nuclear structure, reactions, and decay. However, traditional mass models exhibit significant errors in double magic number region and heavy nuclear region. These models are difficult to effectively describe shell effect and parity effect in the nuclear structure, and also fail to capture the subtle differences observed in experimental results. This study demonstrates the powerful modeling capabilities of MLP neural networks, which optimize the parameters of the nuclear mass model, and reduce prediction errors in key regions and globally. In the neural network, neutron number, proton number, and binding energy are used as training feature values, and the mass-model coefficient is regarded as training label value. The training set is composed of the multiple sets of calculated nuclear mass model coefficients. Through extensive experiments, the optimal parameters are determined to ensure the convergence speed and stability of the model. The Adam optimizer is used to adjust the weight and bias of the network to reduce the mean squared error loss during training. Based on the AME2020 dataset, the trained neural network model with the minimum loss is used to predict the optimal coefficients of the nuclear mass model. The optimized BW2 model significantly reduces root-mean-square errors in double magic number and heavy nuclear regions. Specifically, the optimized model reduces the root-mean-square error by about 28%, 12%, and 18% near Z = 50 and N = 50; Z(N) = 50 and N = 82; Z = 82 and N = 126, respectively. In the heavy nuclear region, the error is reduced by 48%. The BW3 model combines higher-order symmetry energy terms, and after parameter optimization using the neural network, reduces the global root-mean-square error from 1.86 MeV to 1.63 MeV. This work reveals that the model with newly optimized coefficients not only exhibit significant error reduction near double magic numbers, but also shows the improvements in binding energy predictions for both neutron-rich and neutron-deficient nuclei. Furthermore, the model shows good improvements in describing parity effects, accurately capturing the differences related to parity in isotopic chains with different proton numbers. This study demonstrates the tremendous potential of MLP neural networks in optimizing the parameters of nuclear mass model and provides a novel method for optimizing parameters in more complex nuclear mass models. In addition, the proposed method is applicable to the nuclear mass models with implicit or nonlinear relationships, providing a new perspective for further developing the nuclear mass models.

SPECIAL TOPIC—Correlated electron materials and scattering spectroscopy

Inelastic neutron scattering spectrometer and its applications
HU Ze, YUAN Yuan, LI Lisi, REN Qingyong, FENG Yu, SHEN Junying, LUO Wei, TONG Xin
2025, 74 (1): 012501. doi: 10.7498/aps.74.20241412
Abstract +
Inelastic neutron scattering is a pivotal technique in materials science and physics research, revealing the microscopic dynamic properties of materials by observing the changes in energy and momentum of neutrons interacting with matter. This technique provides important information for quantitatively describing the phonon dispersion and magnetic excitation of materials. Inelastic neutron scattering spectrometers can be divided into triple-axis spectrometers and time-of-flight spectrometers, according to the method of selecting monochromatic neutrons. The former has high signal-to-noise ratio, flexibility, and precise tracking capabilities for specific measurement points, while the latter significantly improves experimental efficiency through various measures. The application of inelastic neutron scattering spectrometers is quite extensive, playing an indispensable role in advancing frontier scientific research in the study of mechanisms in various materials such as magnetism, superconductivity, thermoelectrics, and catalysis. The high-energy inelastic spectrometer at the China Spallation Neutron Source is the first time-of-flight neutron inelastic spectrometer in China, achieving high resolution and multi-energy coexistence with its innovative Fermi chopper design. Additionally, the number of available single neutron beams in the experiment of this facility has reached the international leading level.

SPECIAL TOPIC—Correlated electron materials and scattering spectroscopy

Neutron scattering studies of complex lattice dynamics in energy materials
REN Qingyong, WANG Jianli, LI Bing, MA Jie, TONG Xin
2025, 74 (1): 012801. doi: 10.7498/aps.74.20241178
Abstract +
Lattice dynamics play a crucial role in understanding the physical mechanisms of cutting-edge energy materials. Many excellent energy materials have complex multiple-sublattice structures, with intricate lattice dynamics, and the underlying mechanisms are difficult to understand. Neutron scattering technologies, which are known for their high energy and momentum resolution, are powerful tools for simultaneously characterizing material structure and complex lattice dynamics. In recent years, neutron scattering techniques have made significant contributions to the study of energy materials, shedding light on their physical mechanisms. Starting from the basic properties of neutrons and double differential scattering cross sections, this review paper provides a detailed introduction to the working principles, spectrometer structures, and functions of several neutron scattering techniques commonly used in energy materials research, including neutron diffraction and neutron total scattering, which characterize material structures, and quasi-elastic neutron scattering and inelastic neutron scattering, which characterize lattice dynamics. Then, this review paper presents significant research progress in the field of energy materials utilizing neutron scattering as a primary characterization method.1) In the case of Ag8SnSe6 superionic thermoelectric materials, single crystal inelastic neutron scattering experiments have revealed that the “liquid-like phonon model” is not the primary contributor to ultra-low lattice thermal conductivity. Instead, extreme phonon anharmonic scattering is identified as a key factor based on the special temperature dependence of phonon linewidth.2) Analysis of quasi-elastic and inelastic neutron scattering spectra reveals the changes in the correlation between framework and Ag+ sublattices during the superionic phase transition of Ag8SnSe6 compounds. Further investigations using neutron diffraction and molecular dynamics simulations reveal a new mechanism of superionic phase transition and ion diffusion, primarily governed by weakly bonded Se atoms.3) Research on NH4I compounds demonstrates a strong coupling between molecular orientation rotation and lattice vibration, and the strengthening of phonon anharmonicity with temperature rising can decouple this interaction and induce plastic phase transition. This phenomenon results in a significant configuration entropy change, showing its potential applications in barocaloric refrigeration.4) In the CsPbBr3 perovskite photovoltaic materials, inelastic neutron scattering uncovers low-energy phonon damping of the [PbBr6] sublattice, influencing electron-phonon coupling and the band edge electronic state. This special anharmonic vibration of the [PbBr6] sublattice prolongs the lifetime of hot carriers, affecting the material's electronic properties.5) In MnCoGe magnetic refrigeration materials, in-situ neutron diffraction experiments highlight the role of valence electron transfer between sublattices in changing crystal structural stability and magnetic interactions. This process triggers a transformation from a ferromagnetic to an incommensurate spiral antiferromagnetic structure, expanding our understanding of magnetic phase transition regulation.These examples underscore the interdependence between lattice dynamics and other degrees of freedom in energy conversion and storage materials, such as sublattices, charge, and spin. Through these typical examples, this review paper can provide a reference for further exploring and understanding the energy materials and lattice dynamics.

ATOMIC AND MOLECULAR PHYSICS

Rydberg atomic spectroscopy based on nanosecond pulsed laser excitation
CAI Ting, HE Jun, LIU Zhihui, LIU Yao, SU Nan, SHI Pengfei, JIN Gang, CHENG Yongjie, WANG Junmin
2025, 74 (1): 013201. doi: 10.7498/aps.74.20240900
Abstract +
Through the cascade excitation of 852-nm continuous-wave (CW) laser and 509-nm nanosecond pulsed laser, the electromagnetically-induced transparency (EIT) spectroscopic signals of ladder-type three-level cesium atoms with Rydberg state are obtained by using a room-temperature cesium vapor cell. The power of 509-nm pulsed laser beam is ~176 W, while the pulse repetition frequency ranges from 300 kHz to 100 MHz and can be continuously adjusted. The laser pulse duration runs from 1 to 100 ns and can be continuously adjusted. The relationship between Rydberg EIT spectroscopic signals and 509-nm nanosecond pulsed laser parameters is investigated experimentally. By changing the pulse repetition frequency and the pulse duration of the 509-nm nanosecond pulsed laser, the comb-like Rydberg atomic spectrum is obtained by using a room-temperature cesium vapor cell. Within a certain range of repetition frequency and pulse duration, the envelope of spectral lines shows a regular pattern, and the spacing between the transmission peaks is consistent with the pulse repetition frequency. By changing the 509-nm laser pulse repetition frequency and pulse duration, atoms with the specific velocity group can be excited to Rydberg state. Reducing the repetition frequency of the 509-nm pulsed coupling laser can further increase the number of atoms in the Rydberg state in comparison with the case of finite velocity group pumping of cesium atoms by a continuous-wave laser. When the repetition frequency of the 509-nm pulsed laser approaches the EIT linewidth, the number of cesium Rydberg atoms can be increased by up to 10 times. In the parameter optimization process, the dynamic characteristics of pulsed excitation in multi-level atoms, as well as the interaction characteristics between arbitrarily shaped laser pulses and multi-level atomic systems, should be considered. Pulsed laser pumping can achieve the interaction between the laser field and atomic group with a specific velocity, and its developed atomic frequency comb spectra can be used for electric and magnetic field measurements. The multi-peak structure of the spectrum can be used to more accurately determine the intensity, frequency, and phase of the microwave electric field by measuring spectral variations. This high-sensitivity and high-resolution measurement capability is crucial for precisely measuring microwave electric fields. The pulsed coupling laser can excite atoms in a specific velocity group to the Rydberg state. High-density Rydberg atoms can improve the signal-to-noise ratio of the measured spectrum, which has potential applications in quantum sensing and quantum measurement based on Rydberg atoms.

ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS

Preparation and performance of double-layer metal mesh transparent conductive films based on crack template method
LIAO Dunwei, ZHOU Jianhua, ZHENG Yuejun
2025, 74 (1): 014201. doi: 10.7498/aps.74.20241305
Abstract +
In order to improve the electromagnetic shielding performance of the single-layer metal mesh transparent conductive films (SMMTCFs) based on the crack template method, the preparation of double-layer metal mesh transparent conductive films (DMMTCFs) by using the crack template method is studied. The double-layer cracked templates are prepared by spin-coating crack glue on both sides of the transparent substrate and by pulling the transparent substrate from the cracked adhesive solution with a certain rate to obtain the corresponding double-layer cracked templates, respectively. After obtaining the double-layer crack templates by the spin-coating method and the pulling method, respectively, the corresponding DMMTCF samples are obtained by metal deposition and degumming process. First, the performances of single-layer and double-layer metal mesh samples prepared by the spin-coating method under the same conditions are measured and compared with each other, and the optical transmittance of the double-layer structure decreases by nearly 10.9% compared with that of the single-layer structure, while the electromagnetic shielding effectiveness in the Ku band (12–18 GHz) increases by 30 dB. In addition, the double-layer metal mesh sample prepared by the pulling method is also tested. Compared with the single-layer metal mesh sample prepared under the same conditions, the double-layer structure can improve electromagnetic shielding effectiveness in the Ku band by 20 dB under the premise of losing 8.38% optical transmittance. The measurement results show that the electromagnetic shielding performance of the double-layer metal mesh transparent conductive films can be significantly improved at the expense of some optical transmittance performances. Through the preparation and performance study of DMMTCFs based on the cracked template method, the low-cost advantage of the cracked template method can be fully utilized to prepare DMMTCFs with high electromagnetic shielding performance.

ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS

Tunable Casimir equilibria in dual-liquid system
ZHOU Shuai, LIU Kaipeng, DAI Shiwei, GE Lixin
2025, 74 (1): 014202. doi: 10.7498/aps.74.20241126
Abstract +
The Casimir effect, a macroscopic manifestation of quantum phenomena, arises from zero-point energy and thermal fluctuations. When two objects are brought into close proximity, the Casimir effect manifests as a repulsive force, while at greater separations, it transforms into an attractive force. There exists a specific distance at which the Casimir force vanishes, which is referred to as the stable Casimir equilibrium. Stable Casimir equilibrium arises from the curve minimum value of the Casimir energy, which can create spatial trapping. The manipulation of stable Casimir equilibrium provides promising applications in fields such as tunable optical resonators and self-assembly. This work presents a scheme for achieving tunable Casimir equilibrium in a dual-liquid system. The system comprises a multilayered stratified structure with a gold substrate. Above the gold substrate, a stratified liquid system is formed due to the immiscibility between organic solutions and water. The lower-density solution is at the top, while the higher-density solution is at the bottom. Our results suggest that a stable Casimir equilibrium for a suspended gold nanoplate can be realized, when the suspended gold nanoplate is immersed in organic solution of toluene or benzene. Moreover, the height of the suspended gold nanoplate, determined by the stable Casimir equilibrium, can be precisely tuned by changing the thickness of the water layer. The effects of finite temperature and ionic concentration on the Casimir equilibria are also analyzed in this work. The results suggest that the separation height of Casimir equilibrium decreases with the increase of temperature. Interestingly, when the Debye shielding length is comparable to or smaller than the separation length, the ion concentration in water significantly affects the Casimir pressure allowing for extensive modulations of Casimir equilibrium. This work opens up a new avenue for adjusting Casimir equilibrium and has important applications in “quantum trapping” of micro-nano particles.

ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS

Machine learning identification of fractional-order vortex beam diffraction process
GUO Yan, LYU Heng, DING Chunling, YUAN Chenzhi, JIN Ruibo
2025, 74 (1): 014203. doi: 10.7498/aps.74.20241458
Abstract +
Fractional-order vortex beams possess fractional orbital angular momentum (FOAM) modes, which theoretically have the potential to increase transmission capacity infinitely. Therefore, they have significant application prospects in the fields of measurement, optical communication and microparticle manipulation. However, when fractional-order vortex beams propagate in free space, the discontinuity of the helical phase makes them susceptible to diffraction in practical applications, thereby affecting the accuracy of OAM mode recognition and severely limiting the use of FOAM-based optical communication. Achieving machine learning recognition of fractional-order vortex beams under diffraction conditions is currently an urgent and unreported issue. Based on ResNetA, a deep learning (DL) method of accurately recognizing the propagation distance and topological charge of fractional-order vortex beam diffraction process is proposed in this work. Utilizing both experimentally measured and numerically simulated intensity distributions, a dataset of vortex beam diffraction intensity patterns in atmospheric turbulence environments is created. An improved 101-layer ResNet structure based on transfer learning is employed to achieve accurate and efficient recognition of the FOAM model at different propagation distances. Experimental results show that the proposed method can accurately recognize FOAM modes with a propagation distance of 100 cm, a spacing of 5 cm, and a mode spacing of 0.1 under turbulent conditions, with an accuracy of 99.69%. This method considers the effect of atmospheric turbulence during spatial transmission, allowing the recognition scheme to achieve high accuracy even in special environments. It has the ability to distinguish ultra-fine FOAM modes and propagation distances, which cannot be achieved by traditional methods. This technology can be applied to multidimensional encoding and sensing measurements based on FOAM beam.
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