RELATIONSHIP BETWEEN LATTICE GREEN'S FUNCTIONS FOR THE SEMI-INFINITE AND THE INFINITE SQUARE LATTICES AND ITS APPLICATION

XU ZHI-HUA; FAN HONG-YI

doi:10.7498/aps.45.1372

Abstract
Based on Ref. [3](Acta Physica Sinica, 44(1995), 987(in Chinese)), we have derived the relations between lattice Green's functions for the semi-infinite square lattice and the infinite square lattice. The partial density of states and the formation condition of the surface localized state are calculated by virtue of lattice Green's function for the semi-infinite square lattice.
Authors and contacts
XU ZHI-HUA,

FAN HONG-YI

1.
中国科学技术大学材料科学与工程系,合肥230026
References

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[8]	GAO ZHAN, WANG ZHEN-LIN, XU JIAN-HONG. CRITICAL BEHAVIOR AT THE SURFACE OF A SEMI INFINITE MIXED SPIN ISING SYSTEM WITH SURFACE RANDOM FIELD. Acta Physica Sinica, 1997, 46(10): 2029-2035. doi: 10.7498/aps.46.2029
[9]	Xu Zhi-Hua, Fan Hong-Yi, Xu Ke-Sheng. . Acta Physica Sinica, 1995, 44(6): 987-994. doi: 10.7498/aps.44.987
[10]	JIANG QIN, LI ZHEN-YA. STUDY OF SURFACE MAGNETISM IN A SEMI-INFINITE ISING FERROMAGNETIC SYSTEM. Acta Physica Sinica, 1989, 38(7): 1062-1068. doi: 10.7498/aps.38.1062
[11]	SHI HANG, CAI JIAN-HUA. EFFECT OF SURFACE ROUGHNESS ON THE SURFACE POLARITON MODES ON SEMI-INFINITE SUPERLATTICES. Acta Physica Sinica, 1988, 37(6): 931-940. doi: 10.7498/aps.37.931
[12]	YANG ZHENG-JU. THE ELASTIC GREEN'S FUNCTION OF ANISOTROPIC CUBIC CRYSTALS AND ITS APPLICATIONS. Acta Physica Sinica, 1987, 36(5): 599-612. doi: 10.7498/aps.36.599
[13]	QIN GUO-YI, WANG YONG-SHENG. SURFACE PLASMONS IN QUASIPERIODIC SEMICONDUCTOR SUPERLATTICE. Acta Physica Sinica, 1987, 36(10): 1273-1280. doi: 10.7498/aps.36.1273
[14]	XING DING-YU, YUAN JIAN. MEAN-SQUARE DISPLACEMENTS OF ATOMS IN A SEMI-INFINITE SUPERLATTICE. Acta Physica Sinica, 1986, 35(6): 812-818. doi: 10.7498/aps.35.812
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[16]	BIAN SI-ZU. THE UNIVERSE IS THE UNITY OF INFINITUDE AND FINITENESS. Acta Physica Sinica, 1974, 23(2): 3-14. doi: 10.7498/aps.23.3
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[18]	LIN WEI-GANG. APPLICATIONS OF GREEN'S FUNCTIONS IN CALCULATING THE MUTUAL CAPACITANCE BETWEEN SMALL BODIES. Acta Physica Sinica, 1959, 15(1): 13-24. doi: 10.7498/aps.15.13
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[20]	HU HAI-CHANG. ON THE EQUILIBRIUM OF A TRANSVERSELY ISOTROPIC ELASTIC HALF SPACE. Acta Physica Sinica, 1954, 10(3): 239-258. doi: 10.7498/aps.10.239

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Vol. 45, Issue 8 - 1996-04-20

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RELATIONSHIP BETWEEN LATTICE GREEN'S FUNCTIONS FOR THE SEMI-INFINITE AND THE INFINITE SQUARE LATTICES AND ITS APPLICATION

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RELATIONSHIP BETWEEN LATTICE GREEN'S FUNCTIONS FOR THE SEMI-INFINITE AND THE INFINITE SQUARE LATTICES AND ITS APPLICATION

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