Transport of charge-density waves in the presence of disorder: Classical pinning versus quantum localization

Physical Review Letters

Volumn 99, Issue 15, 2007, Pages

  Mirlin, A D ^a,b,d   Polyakov, D G ^a,e   Vinokur, V M ^c  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF KARLSRUHE   (Germany)

^c ARGONNE NATIONAL LABORATORY   (United States)

^d PETERSBURG NUCLEAR PHYSICS INSTITUTE   (Russian Federation)

^e IOFFE INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CARRIER MOBILITY; CHARGE DENSITY; MATHEMATICAL MODELS; TRANSPORT PROPERTIES;

CHARGE-DENSITY WAVES; LUTTINGER MODEL; PINNING TEMPERATURE; QUANTUM EFFECTS;

QUANTUM THEORY;

EID: 35348813036     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.99.156405     Document Type: Article

References (25)

1. P.W. Anderson, Phys. Rev. 109, 1492 (1958). PHRVAO 0031-899X 10.1103/PhysRev.109.1492
2. B.L. Altshuler and A.G. Aronov, in Electron-Electron Interactions in Disordered Systems, edited by, A.L. Efros, and, M. Pollak, (North-Holland, Amsterdam, 1985).
3. I.V. Gornyi, A.D. Mirlin, and D.G. Polyakov, Phys. Rev. Lett. 95, 046404 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.046404
4. I.V. Gornyi A.D. Mirlin D.G. Polyakov Phys. Rev. B PRBMDO 0163-1829 75, 085421 (2007). 10.1103/PhysRevB.75.085421
5. A.I. Larkin, Sov. Phys. JETP 31, 784 (1970); SPHJAR 0038-5646
6. see also Y. Imry and S.-K. Ma, Phys. Rev. Lett. 35, 1399 (1975); PRLTAO 0031-9007 10.1103/PhysRevLett.35.1399
7. H. Fukuyama and P.A. Lee, Phys. Rev. B PLRBAQ 0556-2805 17, 535 (1978). 10.1103/PhysRevB.17.535
8. M.V. Feigelman and V.M. Vinokur, in Charge Density Waves in Solids, edited by, L.P. Gor'kov, and, G. Grüner, (North-Holland, Amsterdam, 1989).
9. G. Blatter, M.V. Feigel'man, V.B. Geshkenbein, A.I. Larkin, and V.M. Vinokur, Rev. Mod. Phys. 66, 1125 (1994); RMPHAT 0034-6861 10.1103/RevModPhys. 66.1125
10. S. Brazovskii and T. Nattermann, Adv. Phys. 53, 177 (2004). ADPHAH 0001-8732 10.1080/00018730410001684197
11. I.V. Gornyi, A.D. Mirlin, and D.G. Polyakov, Phys. Rev. Lett. 95, 206603 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.206603
12. D.M. Basko, I.L. Aleiner, and B.L. Altshuler, Ann. Phys. (N.Y.) 321, 1126 (2006). APNYA6 0003-4916 10.1016/j.aop.2005.11.014
13. We focus on the T dependence of the conductivity. The zero-T low-ω conductivity was studied in M.V. Feigelman and V.M. Vinokur, Phys. Lett. 87A, 53 (1981); PYLAAG 0375-9601 10.1016/0375-9601(81)90614-9
14. I.L. Aleiner and I.M. Ruzin, Phys. Rev. Lett. 72, 1056 (1994); PRLTAO 0031-9007 10.1103/PhysRevLett.72.1056
15. M.M. Fogler, Phys. Rev. Lett. 88, 186402 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.88.186402
16. V. Gurarie and J.T. Chalker, Phys. Rev. Lett. 89, 136801 (2002), and references therein. PRLTAO 0031-9007 10.1103/PhysRevLett.89.136801
17. T. Giamarchi, Quantum Physics in One Dimension (Clarendon, Oxford, 2004).
18. The series 8 reproduces [A.D. Mirlin, D.G. Polyakov, and V.M. Vinokur (unpublished)] the large-ω expansion for K=1, obtainable, e.g., by the Berezinskii method
19. [V.L. Berezinskii, Sov. Phys. JETP 38, 620 (1974)], where the localization manifests itself at order O(w3). SPHJAR 0038-5646
20. B.L. Altshuler, A.G. Aronov, and D.E. Khmelnitskii, J. Phys. C 15, 7367 (1982). JPSOAW 0022-3719 10.1088/0022-3719/15/36/018
21. T. Giamarchi and H.J. Schulz, Phys. Rev. B PRBMDO 0163-1829 37, 325 (1988). 10.1103/PhysRevB.37.325
22. The emergence of a characteristic length scale smaller than ξpin can also be inferred from the length dependence of the conductance in D.L. Maslov, Phys. Rev. B PRBMDO 0163-1829 52, R14368 (1995). 10.1103/PhysRevB.52.R14368
23. A.I. Larkin and P.A. Lee, Phys. Rev. B PLRBAQ 0556-2805 17, 1596 (1978); 10.1103/PhysRevB.17.1596
24. S.V. Malinin, T. Nattermann, and B. Rosenow, Phys. Rev. B PRBMDO 0163-1829 70, 235120 (2004). 10.1103/PhysRevB.70.235120
25. B. Rosenow, A. Glatz, and T. Nattermann, arXiv:cond-mat/0610426 [Phys. Rev. B (to be published)].