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				In this paper, we study the self-trapping of a Bose-Fermi mixture in a periodic modulation field by adjusting fermionic number and interaction parameter in a double-well potential. We find that the self-trapping of bosons can be affected by interatomic self-interaction and interspecific interaction parameter. Moreover, we notice that the self-trapping of bosons gives rise to a critical phenomenon with the variation of interaction strength and fermionic number.- 
													Keywords:
													
- Bose-Fermi mixture gases /
- periodic modulation /
- self-trapping
 [1] Wu B, Niu Q 2000 Phys. Rev. A 61 023402 [2] Ma Y, Fu L B, Yang Z A, Liu J 2006 Acta Phys. Sin. 55 5623 (in Chinese) [马云, 傅立斌, 杨志安, 刘杰 2006 物理学报 55 5623] [3] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528 [4] Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 物理学报 56 4348] [5] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 13619 [6] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401 [7] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236 [8] Qin F, Chen J S 2009 Chin. Phys. B 18 2654 [9] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380 [10] Giorgini S, Pitaevskii L, Stringari S 2008 Rev. Mod. Phys. 80 1215 [11] Qi P T, Duan W S 2011 Phys. Rev. A 84 033627 [12] Adhikari S K, Malomed B A, Salasnich L, Toigo F 2010 Phys. Rev. A 81 053630 [13] Cheng Y S, Adhikari S K, 2011 Phys. Rev. A 84 023632 [14] Jochin S, Bartenstein M, Altmeyer A, Hendl G, Chin C, Hecker Denschlag J, Grimm R 2004 Phys. Rev. Lett. 91 240402 [15] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649 [16] Wen W, Zhou Y, Huang G X 2008 Phys. Rev. A 77 033623 [17] Zhang J M, Liu W M, Zhou D L 2008 Phys. Rev. A 77 033620 [18] Zhang C, Liu J, Raizen M, Niu Q 2004 Phys. Rev. Lett. 92 054101 [19] Wang W Y, Duan W S, Liu J 2012 Int. J. Mod. Phys. C 23 1250076 [20] Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601 [21] Wang G F, Fu L B, Zhao H, Liu J 2005 Acta Phys. Sin. 54 5003 (in Chinese) [王冠芳, 傅立斌, 赵 鸿, 刘 杰 2005 物理学报 54 5003] [22] Wang W Y, Duan W S, Sun J A, Yang Y 2011 Eur. Phys. J. B 84 283 [23] Qi R, Yu X L, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301 [24] Ancilotto F, Salasnich L, Toigo F 2009 Phys. Rev. A 79 033627 [25] Pezzè L, Pitaevskii L, Smerzi A, Stringari S, Modugno G, Mirandes De E, Ferlaino F, Ott H, Roati G, Inguscio M 2004 Phys. Rev. Lett. 93 120401 [26] Wang W Y, Meng H J, Yang Y, Qi P T, Ma Y Y, Ma Y, Duan W S 2012 Acta Phys. Sin. 61 087302 (in Chinese) [王文元, 蒙红娟, 杨阳, 祁鹏堂, 马云云, 马莹, 段文山 2012 物理学报 61 087302] [27] Liu J, Wu B, Niu Q 2005 Phys. Rev. Lett. 94 140402 [28] Fu L B, Liu J, Chen S G 2002 Phys. Rev. A 298 388 [29] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408 [30] Huang F, Li H B 2011 Acta Phys. Sin. 60 020303 (in Chinese) [黄芳, 李海彬 2011 物理学报 60 020303] [31] Bharucha C F, Madison K W, Morrow P R, Wilkinson S R, Sundaram B, Raizen M G 1997 Phys. Rev. A 55 R857 [32] Wang W Y, Duan W S, Sun J A, Yang Y 2012 Physica B 407 3876 [33] Ye D F, Fu L B, Liu J 2008 Phys. Rev. A 77 013402 [34] Li S C, Fu L B, Duan W S, Liu J 2008 Phys. Rev. A 78 063621 
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[1] Wu B, Niu Q 2000 Phys. Rev. A 61 023402 [2] Ma Y, Fu L B, Yang Z A, Liu J 2006 Acta Phys. Sin. 55 5623 (in Chinese) [马云, 傅立斌, 杨志安, 刘杰 2006 物理学报 55 5623] [3] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528 [4] Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 物理学报 56 4348] [5] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 13619 [6] Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401 [7] Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236 [8] Qin F, Chen J S 2009 Chin. Phys. B 18 2654 [9] Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380 [10] Giorgini S, Pitaevskii L, Stringari S 2008 Rev. Mod. Phys. 80 1215 [11] Qi P T, Duan W S 2011 Phys. Rev. A 84 033627 [12] Adhikari S K, Malomed B A, Salasnich L, Toigo F 2010 Phys. Rev. A 81 053630 [13] Cheng Y S, Adhikari S K, 2011 Phys. Rev. A 84 023632 [14] Jochin S, Bartenstein M, Altmeyer A, Hendl G, Chin C, Hecker Denschlag J, Grimm R 2004 Phys. Rev. Lett. 91 240402 [15] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649 [16] Wen W, Zhou Y, Huang G X 2008 Phys. Rev. A 77 033623 [17] Zhang J M, Liu W M, Zhou D L 2008 Phys. Rev. A 77 033620 [18] Zhang C, Liu J, Raizen M, Niu Q 2004 Phys. Rev. Lett. 92 054101 [19] Wang W Y, Duan W S, Liu J 2012 Int. J. Mod. Phys. C 23 1250076 [20] Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601 [21] Wang G F, Fu L B, Zhao H, Liu J 2005 Acta Phys. Sin. 54 5003 (in Chinese) [王冠芳, 傅立斌, 赵 鸿, 刘 杰 2005 物理学报 54 5003] [22] Wang W Y, Duan W S, Sun J A, Yang Y 2011 Eur. Phys. J. B 84 283 [23] Qi R, Yu X L, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301 [24] Ancilotto F, Salasnich L, Toigo F 2009 Phys. Rev. A 79 033627 [25] Pezzè L, Pitaevskii L, Smerzi A, Stringari S, Modugno G, Mirandes De E, Ferlaino F, Ott H, Roati G, Inguscio M 2004 Phys. Rev. Lett. 93 120401 [26] Wang W Y, Meng H J, Yang Y, Qi P T, Ma Y Y, Ma Y, Duan W S 2012 Acta Phys. Sin. 61 087302 (in Chinese) [王文元, 蒙红娟, 杨阳, 祁鹏堂, 马云云, 马莹, 段文山 2012 物理学报 61 087302] [27] Liu J, Wu B, Niu Q 2005 Phys. Rev. Lett. 94 140402 [28] Fu L B, Liu J, Chen S G 2002 Phys. Rev. A 298 388 [29] Liu W M, Fan W B, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408 [30] Huang F, Li H B 2011 Acta Phys. Sin. 60 020303 (in Chinese) [黄芳, 李海彬 2011 物理学报 60 020303] [31] Bharucha C F, Madison K W, Morrow P R, Wilkinson S R, Sundaram B, Raizen M G 1997 Phys. Rev. A 55 R857 [32] Wang W Y, Duan W S, Sun J A, Yang Y 2012 Physica B 407 3876 [33] Ye D F, Fu L B, Liu J 2008 Phys. Rev. A 77 013402 [34] Li S C, Fu L B, Duan W S, Liu J 2008 Phys. Rev. A 78 063621 
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