Impurity-induced Shiba bound state in the BCS-BEC crossover regime of two-dimensional Fermi superfluid

doi:10.1088/1674-1056/28/7/070501

中国物理B ›› 2019, Vol. 28 ›› Issue (7): 70501-070501.doi: 10.1088/1674-1056/28/7/070501

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Impurity-induced Shiba bound state in the BCS-BEC crossover regime of two-dimensional Fermi superfluid

Siqi Shao(邵思齐), Kezhao Zhou(周可召), Zhidong Zhang(张志东)

1 Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China;
2 School of Materials Science and Engineering, University of Science and Technology of China, Shenyang 110016, China;
3 Department of Physics, College of Science, Hunan University of Technology, Zhuzhou 412007, China

收稿日期:2019-01-26 修回日期:2019-04-15 出版日期:2019-07-05 发布日期:2019-07-05
通讯作者: Kezhao Zhou E-mail:kezhaozhou@gmail.com
基金资助:
Project supported by the National Key R&D Program of China (Grant No. 2017YFA0206302).

Impurity-induced Shiba bound state in the BCS-BEC crossover regime of two-dimensional Fermi superfluid

Siqi Shao(邵思齐)^1,2, Kezhao Zhou(周可召)³, Zhidong Zhang(张志东)^1,2

1 Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China;
2 School of Materials Science and Engineering, University of Science and Technology of China, Shenyang 110016, China;
3 Department of Physics, College of Science, Hunan University of Technology, Zhuzhou 412007, China

Received:2019-01-26 Revised:2019-04-15 Online:2019-07-05 Published:2019-07-05
Contact: Kezhao Zhou E-mail:kezhaozhou@gmail.com
Supported by:
Project supported by the National Key R&D Program of China (Grant No. 2017YFA0206302).

摘要/Abstract

摘要：

For a two-dimensional ultra-cold Fermi superfluid with an effective static magnetic impurity, we theoretically investigated the variation of the Yu-Shiba-Rusinov (YSR) bound state in the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensation (BEC) crossover regime. Within the framework of mean-field theory, analytical results of the YSR bound state energy were obtained as a function of the interaction parameters. First, when the background Fermi superfluid system stays in the weakly interacting BCS regime, we found that the YSR bound state energy is linearly dependent on the gap parameter with its coefficient slightly different from previous results. Second, we discovered re-entrance phenomena for the YSR state and an upper bound of the strength of the interaction between the paired atoms. By carefully analyzing the bound state energy as a function of the interaction parameters, we obtained a phase diagram showing the existence of the YSR state. Finally, we concluded that the re-entrance phenomena and the critical point can be easily experimentally detected through measurement of radio-frequency spectroscopy and density of states using current experimental techniques.

关键词: ultra-cold quantum gases, BCS-BEC crossover, magnetic impurity, Yu-Shiba-Rusinov (YSR) state

Abstract:

Key words: ultra-cold quantum gases, BCS-BEC crossover, magnetic impurity, Yu-Shiba-Rusinov (YSR) state

中图分类号: (Fermion systems and electron gas)

05.30.Fk

37.10.Jk (Atoms in optical lattices) 03.75.Hh (Static properties of condensates; thermodynamical, statistical, and structural properties)

邵思齐, 周可召, 张志东. Impurity-induced Shiba bound state in the BCS-BEC crossover regime of two-dimensional Fermi superfluid[J]. 中国物理B, 2019, 28(7): 70501-070501.

Siqi Shao(邵思齐), Kezhao Zhou(周可召), Zhidong Zhang(张志东). Impurity-induced Shiba bound state in the BCS-BEC crossover regime of two-dimensional Fermi superfluid[J]. Chin. Phys. B, 2019, 28(7): 70501-070501.

参考文献 45

[33]	Bausmerth I, Recati A and Stringari S 2009 Phys. Rev. A 79 043622 doi: 10.1103/PhysRevA.79.043622
[1]	Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys. 80 885 doi: 10.1103/RevModPhys.80.885
[34]	Vernier E, Pekker D, Zwierlein M W and Demler E 2011 Phys. Rev. A 83 033619 doi: 10.1103/PhysRevA.83.033619
[2]	Gross C and Bloch I 2017 Science 357 995 doi: 10.1126/science.aal3837
[35]	Yan Z B, Yang X S, Sun L and Wan S L 2012 Euro. Phys. J. B 85 417 doi: 10.1140/epjb/e2012-30789-2
[3]	Liu X J, Hu H and Pu H 2015 Chin. Phys. B 24 50502 doi: 10.1088/1674-1056/24/5/050502
[36]	Hu H, Jiang L, Pu H, Chen Y and Liu X J 2013 Phys. Rev. Lett. 110 020401 doi: 10.1103/PhysRevLett.110.020401
[4]	Wang Z Z, Wu Y D, Du H J and Jing X L 2016 Chin. Phys. B 25 77303 doi: 10.1088/1674-1056/25/7/077303
[37]	Jiang L, Baksmaty L O, Hu H, Chen Y and Pu H 2011 Phys. Rev. A 83 061604 doi: 10.1103/PhysRevA.83.061604
[5]	O'Hara K M, Hemmer S L, Gehm M E, Granade S R and Thomas J E 2002 Science 298 2179 doi: 10.1126/science.1079107
[38]	Hirschfeld P J, Vollhard D and Wölfle P 1986 Solid State Commun. 59 111 doi: 10.1016/0038-1098(86)90190-0
[6]	Bourdel T, Cubizolles J, Khaykovich L, Magalhaes K, Kokkelmans S, Shlyapnikov G and Salomon C 2003 Phys. Rev. Lett. 91 020402 doi: 10.1103/PhysRevLett.91.020402
[39]	Randeria M, Duan J M and Shieh L Y 1990 Phys. Rev. B 41 327
[40]	Diener R B, Sensarma R and Randeria M 2008 Phys. Rev. A 77 023626 doi: 10.1103/PhysRevA.77.023626
[7]	Leggett A J 1980 Journal de Physique Colloques 41 C7
[41]	de Melo C S, Randeria M and Engelbrecht J R 1993 Phys. Rev. Lett. 71 3202 doi: 10.1103/PhysRevLett.71.3202
[8]	Cheuk L W, Nichols M A, Lawrence K R, Okan M, Zhang H, Khatami E, Trivedi N, Paiva T, Rigol M and Zwierlein M W 2016 Science 353 1260 doi: 10.1126/science.aag3349
[9]	Boll1 M, Hilker T A, Salomon G, Omran A, Nespolo J, Pollet L, Bloch I and Gross C 2016 Science 353 1257 doi: 10.1126/science.aag1635
[42]	Chen Q J, Stajic J, Tan S N and Levin K 2005 Phys. Rep. 412 1
[10]	Gross C and Bloch I 2017 Science 357 995 doi: 10.1126/science.aal3837
[43]	Chen Q J, Kosztin I, Jank B and Levin K 1998 Phys. Rev. Lett. 81 4708 doi: 10.1103/PhysRevLett.81.4708
[11]	Abrikosov A A and Gor'kov L P 1961 Sov. Phys. JETP Lett. 12 1243
[44]	Chen Q J and Schrieffer J R 2002 Phys. Rev. B 66 014512 doi: 10.1103/PhysRevB.66.014512
[12]	Yu L 1965 Acta Phys. Sin. 21 75 (in Chinese)
[45]	He L, Lü H F, Cao G Q, Hu H and Liu X J 2015 Phys. Rev. A 92 023620 doi: 10.1103/PhysRevA.92.023620
[13]	Shiba H 1968 Prog. Theor. Phys. 40 435 doi: 10.1143/PTP.40.435
[14]	Shiba H and Soda T 1969 Prog. Theor. Phys. 41 25 doi: 10.1143/PTP.41.25
[15]	Rusinov A I 1969 Sov. Phys. JETP Lett. 9 85
[16]	Rusinov A I 1969 Sov. Phys. JETP Lett. 29 1101
[17]	Fischer o, Kugler M, Maggio-Aprile I, Berthod C and Renner C 2007 Rev. Mod. Phys. 79 353 doi: 10.1103/RevModPhys.79.353
[18]	Pan S H, Hudson E W, Lang K M, Eisaki H, Uchida S and Davis J C 2000 Nature 403 746 doi: 10.1038/35001534
[19]	Balatsky A V 2000 Nature 403 717 doi: 10.1038/35001703
[20]	Hoffman J E, McElroy K, Lee D H, Lang K M, Eisaki H, Uchida S and Davis J C 2002 Science 297 1148 doi: 10.1126/science.1072640
[21]	Balatsky A V, Vekhter I and Zhu J X 2006 Rev. Mod. Phys. 78 373 doi: 10.1103/RevModPhys.78.373
[22]	Kaladzhyan V, Bena C and Simon P 2016 Phys. Rev. B 93 214514 doi: 10.1103/PhysRevB.93.214514
[23]	Nadj-Perge S, Drozdov I K, Bernevig B A and Yazdani A 2013 Phys. Rev. B 88 020407 doi: 10.1103/PhysRevB.88.020407
[24]	Kim Y, Cheng M, Bauer B, Lutchyn R M and Sarma S D 2014 Phys. Rev. B 90 060401 doi: 10.1103/PhysRevB.90.060401
[25]	Nadj-Perge S, Drozdov I K, Li J, Chen H, Jeon S, Seo J, MacDonald A H, Bernevig B A and Yazdani A 2014 Science 346 602 doi: 10.1126/science.1259327
[26]	Nayak C, Simon S H, Stern A, Freedman M and Sarma S D 2008 Rev. Mod. Phys. 80 1083 doi: 10.1103/RevModPhys.80.1083
[27]	Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057 doi: 10.1103/RevModPhys.83.1057
[28]	Sau J D and Demler E 2013 Phys. Rev. B 88 064506 doi: 10.1103/PhysRevB.88.064506
[29]	Liu D E, Rossi E and Lutchyn R M 2018 Phys. Rev. B 97 161408 doi: 10.1103/PhysRevB.97.161408
[30]	Modugno G 2010 Rep. Prog. Phys. 73 102401 doi: 10.1088/0034-4885/73/10/102401
[31]	Zipkes C, Palzer S, Sias C and Köhl M 2010 Nature 464 388 doi: 10.1038/nature08865
[32]	Targońska K and Sacha K 2010 Phys. Rev. A 82 033601 doi: 10.1103/PhysRevA.82.033601
[33]	Bausmerth I, Recati A and Stringari S 2009 Phys. Rev. A 79 043622 doi: 10.1103/PhysRevA.79.043622
[34]	Vernier E, Pekker D, Zwierlein M W and Demler E 2011 Phys. Rev. A 83 033619 doi: 10.1103/PhysRevA.83.033619
[35]	Yan Z B, Yang X S, Sun L and Wan S L 2012 Euro. Phys. J. B 85 417 doi: 10.1140/epjb/e2012-30789-2
[36]	Hu H, Jiang L, Pu H, Chen Y and Liu X J 2013 Phys. Rev. Lett. 110 020401 doi: 10.1103/PhysRevLett.110.020401
[37]	Jiang L, Baksmaty L O, Hu H, Chen Y and Pu H 2011 Phys. Rev. A 83 061604 doi: 10.1103/PhysRevA.83.061604
[38]	Hirschfeld P J, Vollhard D and Wölfle P 1986 Solid State Commun. 59 111 doi: 10.1016/0038-1098(86)90190-0
[39]	Randeria M, Duan J M and Shieh L Y 1990 Phys. Rev. B 41 327
[40]	Diener R B, Sensarma R and Randeria M 2008 Phys. Rev. A 77 023626 doi: 10.1103/PhysRevA.77.023626
[41]	de Melo C S, Randeria M and Engelbrecht J R 1993 Phys. Rev. Lett. 71 3202 doi: 10.1103/PhysRevLett.71.3202
[42]	Chen Q J, Stajic J, Tan S N and Levin K 2005 Phys. Rep. 412 1
[43]	Chen Q J, Kosztin I, Jank B and Levin K 1998 Phys. Rev. Lett. 81 4708 doi: 10.1103/PhysRevLett.81.4708
[44]	Chen Q J and Schrieffer J R 2002 Phys. Rev. B 66 014512 doi: 10.1103/PhysRevB.66.014512
[45]	He L, Lü H F, Cao G Q, Hu H and Liu X J 2015 Phys. Rev. A 92 023620 doi: 10.1103/PhysRevA.92.023620

Impurity-induced Shiba bound state in the BCS-BEC crossover regime of two-dimensional Fermi superfluid

Impurity-induced Shiba bound state in the BCS-BEC crossover regime of two-dimensional Fermi superfluid

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 45

相关文章 5

Metrics

本文评价

推荐阅读 0

[1]	罗学兵, 周可召, 张志东. Evolution of the vortex state in the BCS-BEC crossover of a quasi two-dimensional superfluid Fermi gas[J]. 中国物理B, 2016, 25(11): 110306-110306.
[2]	邓伟胤, 盛利, 邢定钰. Spin pumping through magnetic impurity effect[J]. 中国物理B, 2015, 24(8): 87202-087202.
[3]	秦国平, 王新强, 郑继, 孔春阳, 阮海波, 李万俊, 赵永红, 孟祥丹. First-principles study on nonlocal ferromagnetism in (Cu, N)-codoped ZnO[J]. 中国物理B, 2013, 22(5): 57101-057101.
[4]	于震, 郭宇, 郑军, 迟锋. Thermoelectric transport through a quantum dot with a magnetic impurity[J]. 中国物理B, 2013, 22(11): 117303-117303.
[5]	高迎芳, 张永平, 梁九卿. Spin-polarized transport through a double Aharonov-Bohm ring in the presence of magnetic impurity[J]. 中国物理B, 2005, 14(1): 196-200.