Remarks on the Hall Conductivity in Chiral Superconductors: Weak vs. Strong Coupling Approach

• Authors: M. Rogatko , K. Wysokiński
• Languages of publication: EN

Abstracts

EN

We discuss the calculations of the ac Hall conductivity for superconductors with the time reversal symmetry breaking states. In the weak coupling theories these states show vanishing Hall response in one band models, even though one expects otherwise on symmetry grounds. On the other hand, the strong coupling approach based on the anti-de Sitter-conformal field theory correspondence leads to the non-vanishing Hall conductivity. We discuss the possible reasons of the discrepancy. The weak coupling many orbital theory leading to the Hall conductivity with correct temperature dependence is also briefly presented.

Keywords

EN

74.20.-z; 74.25.F-; 74.70.Pq; 11.25.Tq

Discipline

• 74.20.-z: Theories and models of superconducting state
• 74.70.Pq: Ruthenates
• 11.25.Tq: Gauge/string duality
• 74.25.F-: Transport properties

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 4a
• Pages: A-9-A-13

Dates

published

2014-10

Contributors

author

M. Rogatko

• Institute of Physics, M. Curie-Skłodowska University, I. Radziszewskiego 10, PL-20-031 Lublin, Poland

author

K. Wysokiński

• Institute of Physics, M. Curie-Skłodowska University, I. Radziszewskiego 10, PL-20-031 Lublin, Poland

References

• [1] V.P. Mineev, K.V. Samokhin, Introduction to Unconventional Superconductivity, Gordon and Breach Science, Amsterdam 1999
• [2] A.J. Leggett, Rev. Mod. Phys. 47, 331 (1975), doi: 10.1103/RevModPhys.47.331
• [3] A.P. Mackenzie, Y. Maeno, Rev. Mod. Phys. 75, 657 (2003), doi: 10.1103/RevModPhys.75.657
• [4] C. Kallin, Rep. Prog. Phys. 75, 042501 (2012), doi: 10.1088/0034-4885/75/4/042501
• [5] I. Zutic, I. Mazin, Phys. Rev. Lett. 95, 217004 (2005), doi: 10.1103/PhysRevLett.95.217004
• [6] K.D. Nelson, Z.Q. Mao, Y. Maeno, Y. Liu, Science 306, 1151 (2004), doi: 10.1126/science.1103881
• [7] Feng Liu, Cheng-Cheng Liu, Kehui Wu, Fan Yang, Yugui Yao, Phys. Rev. Lett. 111, 066804 (2013), doi: 10.1103/PhysRevLett.111.066804
• [8] Jing Xia, Y. Maeno, P.T. Beyersdorf, M.M. Fejer, A. Kapitulnik, Phys. Rev. Lett. 97, 167002 (2006), doi: 10.1103/PhysRevLett.97.167002
• [9] S.A. Hartnoll, C.P. Herzog, G.T. Horowitz, Phys. Rev. Lett. 101, 031601 (2008), doi: 10.1103/PhysRevLett.101.031601
• [10] M. di Ventra, Electrical Transport in Nanoscale Systems, Cambridge Univ. Press, Cambridge 2008
• [11] S.K. Yip, J.A. Sauls, J. Low. Temp. Phys. 86, 257 (1992), doi: 10.1007/BF01151804
• [12] D.N. Zubariew, Termodynamika statystyczna, PWN, Warszawa 1974 (in Polish)
• [13] R. Kubo, M. Toda, N. Hashitsume, Fizyka statystyczna, PWN, Warszawa 1991, (in Polish)
• [14] S.A. Hartnoll, Class. Quant. Grav. 26, 224002 (2009), doi: 10.1088/0264-9381/26/22/224002
• [15] C.P. Herzog, J. Phys. A Math. Theor. 42, 343001 (2009), doi: 10.1088/1751-8113/42/34/343001
• [16] G.T. Horowitz, Class. Quantum Grav. 28, 114008 (2011), doi: 10.1088/0264-9381/28/11/114008
• [17] J.M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998)
• [18] J.M. Maldacena, Sci. Am. 293(5), 24 (2005) [see also Świat Nauki 172(12), 30 (2005), in Polish]
• [19] S. Sachdev, Ann. Rev. Cond. Matter Phys. 3, 9 (2012), doi: 10.1146/annurev-conmatphys-020911-125141
• [20] F. Benini, C.P. Herzog, A. Yarom, Phys. Lett. B 701, 626 (2011), doi: 10.1016/j.physletb.2011.06.029
• [21] Jiunn-Wei Chen, Yu-Sheng Liu, D. Maity, J. High Energy Phys. 5, 32 (2011), doi: 10.1007/JHEP05(2011)032
• [22] V.P. Mineev, J. Phys. Soc. Jpn. 81, 093703 (2012), doi: 10.1143/JPSJ.81.093703
• [23] M. Gradhand, K.I. Wysokinski, J.F. Annett, B.L. Györffy, Phys. Rev. B 88, 094504 (2013), doi: 10.1103/PhysRevB.88.094504
• [24] Hong Liu, H. Ooguri, B. Stoica, N. Yunes, Phys. Rev. Lett. 110, 211601 (2013), doi: 10.1103/PhysRevLett.110.211601
• [25] M. Stone, R. Roy, Phys. Rev. B 69, 184511 (2004), doi: 10.1103/PhysRevB.69.184511
• [26] J.A. Sauls, Phys. Rev. B 84, 214509 (2011), doi: 10.1103/PhysRevB.84.214509
• [27] J.F. Annett, B.L. Gyorffy, K.I. Wysokinski, New J. Phys. 11, 055063 (2009), doi: 10.1088/1367-2630/11/5/055063
• [28] K.I. Wysokinski, J.F. Annett, B.L. Györffy, Phys. Rev. Lett. 108, 077004 (2012), doi: 10.1103/PhysRevLett.108.077004
• [29] I. Souza, D. Vanderbilt, Phys. Rev. B 77, 054438 (2008), doi: 10.1103/PhysRevB.77.054438
• [30] H.S. Bennett, E.A. Stern, Phys. Rev. 137, A488 (1965), doi: 10.1103/PhysRev.137.A448
• [31] H. Ebert, Rep. Prog. Phys. 59, 1665 (1996), doi: 10.1088/0034-4885/59/12/003
• [32] J. Goryo, Phys. Rev. B 78, 060501 (2008), doi: 10.1103/PhysRevB.78.060501
• [33] R.M. Lutchyn, P. Nagornykh, V.M. Yakovenko, Phys. Rev. B 80, 104508 (2009), doi: 10.1103/PhysRevB.80.104508
• [34] E. Taylor, C. Kallin, Phys. Rev. Lett. 108, 157001 (2012), doi: 10.1103/PhysRevLett.108.157001

Identifiers

DOI

10.12693/APhysPolA.126.A-9