Violation of the Wiedemann-Franz Law in Hydrodynamic Electron Liquids

Physical Review Letters

Volumn 115, Issue 5, 2015, Pages

  Principi, Alessandro ^a   Vignale, Giovanni ^a  

^a UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DECAY (ORGANIC); ELECTRIC CONDUCTIVITY; ELECTRONS; FLUID DYNAMICS; GRAPHENE; HYDRODYNAMICS; LIQUIDS; TEMPERATURE; TEMPERATURE DISTRIBUTION; THERMAL CONDUCTIVITY;

ELECTRICAL CONDUCTIVITY; ELECTRONIC THERMAL CONDUCTIVITY; HYDRODYNAMIC REGIME; MOMENTUM RELAXATION; QUASIPARTICLE DECAY; TEMPERATURE DEPENDENCE; TWO DIMENSIONAL ELECTRONS; WIEDEMANN-FRANZ LAW;

DENSITY OF LIQUIDS;

EID: 84938898790     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.115.056603     Document Type: Article

References (34)

1. L.D. Landau and E.M. Lifshitz, Fluid Mechanics (Pergamon Press, Oxford, 1987).
2. A. Principi and G. Vignale, Phys. Rev. B 91, 205423 (2015). PRBMDO 1098-0121 10.1103/PhysRevB.91.205423
3. A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, and A.K. Geim, Rev. Mod. Phys. 81, 109 (2009). RMPHAT 0034-6861 10.1103/RevModPhys.81.109
4. V.N. Kotov, B. Uchoa, V.M. Pereira, F. Guinea, and A.H. Castro Neto, Rev. Mod. Phys. 84, 1067 (2012). RMPHAT 0034-6861 10.1103/RevModPhys.84.1067
5. S. Yiʇen, V. Tayari, J.O. Island, J.M. Porter, and A.R. Champagne, Phys. Rev. B 87, 241411(R) (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.241411
6. K.C. Fong and K.C. Schwab, Phys. Rev. X 2, 031006 (2012). PRXHAE 2160-3308 10.1103/PhysRevX.2.031006
7. K.C. Fong, E.E. Wollman, H. Ravi, W. Chen, A.A. Clerk, M.D. Shaw, H.G. Leduc, and K.C. Schwab, Phys. Rev. X 3, 041008 (2013). PRXHAE 2160-3308 10.1103/PhysRevX.3.041008
8. A.A. Balandin, S. Ghosh, W. Bao, I. Calizo, D. Teweldebrhan, F. Miao, and C.N. Lau, Nano Lett. 8, 902 (2008). NALEFD 1530-6984 10.1021/nl0731872
9. N.W. Ashcroft and N.D. Mermin, Solid State Physics (Harcourt College Publishers, New York, 1976).
10. G.F. Giuliani and G. Vignale, Quantum Theory of the Electron Liquid (Cambridge University Press, Cambridge, 2005).
11. M. Trushin and J. Schliemann, Phys. Rev. Lett. 99, 216602 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.216602
12. R. Franz and G. Wiedemann, Ann. Phys. (Berlin) 165, 497 (1853). ANPYA2 0003-3804 10.1002/andp.18531650802
13. G.D. Mahan, Many-Particle Physics (Plenum Press, New York, 1993), Chap. 5.
14. C. Castellani and C. DiCastro, Phys. Rev. B 34, 5935 (1986). PRBMDO 0163-1829 10.1103/PhysRevB.34.5935
15. C. Castellani, C. DiCastro, G. Kotliar, P.A. Lee, and G. Strinati, Phys. Rev. Lett. 59, 477 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.59.477
16. B. Arfi, J. Low Temp. Phys. 86, 213 (1992). JLTPAC 0022-2291 10.1007/BF01151802
17. P. Schwab and R. Raimondi, Ann. Phys. (Berlin) 12, 471 (2003). ANPYA2 0003-3804 10.1002/andp.200310024
18. R. Raimondi, G. Savona, P. Schwab, and T. Lück, Phys. Rev. B 70, 155109 (2004). PRBMDO 1098-0121 10.1103/PhysRevB.70.155109
19. G. Catelani and I.L. Aleiner, J. Exp. Theor. Phys. 100, 331 (2005). JTPHES 1063-7761 10.1134/1.1884675
20. A.V. Andreev, S.A. Kivelson, and B. Spivak, Phys. Rev. Lett. 106, 256804 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.256804
21. M. Müller, L. Fritz, and S. Sachdev, Phys. Rev. B 78, 115406 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.115406
22. M. Müller and S. Sachdev, Phys. Rev. B 78, 115419 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.115419
23. M.S. Foster and I.L. Aleiner, Phys. Rev. B 79, 085415 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.085415
24. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.115.056603 for more details.
25. A.O. Lyakhov and E.G. Mishchenko, Phys. Rev. B 67, 041304(R) (2003). PRBMDO 0163-1829 10.1103/PhysRevB.67.041304
26. Q. Li and S. Das Sarma, Phys. Rev. B 87, 085406 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.085406
27. M. Polini and G. Vignale, arXiv:1404.5728.
28. M. Müller, J. Schmalian, and L. Fritz, Phys. Rev. Lett. 103, 025301 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.025301
29. A. Tomadin, D. Brida, G. Cerullo, A.C. Ferrari, and M. Polini, Phys. Rev. B 88, 035430 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.035430
30. J.K. Viljas and T.T. Heikkilä, Phys. Rev. B 81, 245404 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.245404
31. D. Pines and P. Noziéres, The Theory of Quantum Liquids (W. A. Benjamin Inc., New York, 1966).
32. S. Conti and G. Vignale, Phys. Rev. B 60, 7966 (1999). PRBMDO 0163-1829 10.1103/PhysRevB.60.7966
33. L.S. Levitov, A.V. Shtyk, and M.V. Feigelman, Phys. Rev. B 88, 235403 (2013). PRBMDO 1098-0121 10.1103/PhysRevB.88.235403
34. S.H. Abedinpour, G. Vignale, A. Principi, M. Polini, W.-K. Tse, and A.H. MacDonald, Phys. Rev. B 84, 045429 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.045429