Fermionic renormalization group methods for transport through inhomogeneous Luttinger liquids

New Journal of Physics

Volumn 10, Issue , 2008, Pages

  Meden, V ^a   Andergassen, S ^b   Enss, T ^c   Schoeller, H ^a   Schonhammer K ^d  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b CNRS   (France)

^c UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^d UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BESSEL FUNCTIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FERMIONS; FLOW INTERACTIONS; FLUIDS; LIQUIDS; METALS; PARTICLE INTERACTIONS; STATISTICAL MECHANICS; TRANSPORT PROPERTIES;

(2+1) DIMENSIONS; CAPTURE EFFECTS; EFFECTIVE TRANSMISSION (ET); ELECTRONIC TRANSPORT PROPERTIES (ETP); FERMI MOMENTUM; FIXE D POINTS; FIXED POINTS (FP); GENERAL (CO); INHOMOGENEITIES; LEADING ORDER (LO); LIMITING CASES; LUTTINGER LIQUID (LL); ONE-DIMENSIONAL; RENORMALIZATION GROUP (RG) METHOD; RENORMALIZATION GROUP (RNG); SCATTERING CHANNELS; SET-UPS; STRENGTH (IGC: D5/D6);

DIFFERENCE EQUATIONS;

EID: 46449098934     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/10/4/045012     Document Type: Article

References (39)

1. Schönhammer K 2005 Interacting Electrons in Low Dimensions ed D Baeriswyl and L Degiorgi (Dordrecht: Kluwer)
2. Luther A and Peschel I 1974 Phys. Rev. B 9 2911
3. Mattis D C 1974 J. Math. Phys. 15 609
4. Apel W and Rice T M 1982 Phys. Rev. B 26 7063
5. Giamarchi T and Schulz H J 1988 Phys. Rev. B 37 325
6. von Delft J and Schoeller H 1998 Ann. Phys., Lpz. 7 225
7. Kane C L and Fisher M P A 1992 Phys. Rev. Lett. 68 1220
8. Kane C L and Fisher M P A 1992 Phys. Rev. B 46 7268
9. Kane C L and Fisher M P A 1992 Phys. Rev. B 46 15233
10. Furusaki A and Nagaosa N 1993 Phys. Rev. B 47 4631
11. Safi I and Schulz H J 1995 Phys. Rev. B 52 R17040
12. Maslov D L and Stone M 1995 Phys. Rev. B 52 R5539
13. Ponomarenko V V 1995 Phys. Rev. B 52 R8666
14. Janzen K, Meden V and Schönhammer K 2006 Phys. Rev. B 74 085301
15. Moon K, Yi H, Kane C L, Girvin S M and Fisher M P A 1993 Phys. Rev. Lett. 71 4381
16. Fendley P, Ludwig A W W and Saleur H 1995 Phys. Rev. Lett. 74 3005
17. Matveev K A, Yue D and Glazman L I 1993 Phys. Rev. Lett. 71 3351
18. Yue D, Glazman L I and Matveev K A 1994 Phys. Rev. B 49 1966
19. Nazarov Y V and Glazman L I 2003 Phys. Rev. Lett. 91 126804
20. Polyakov D G and Gornyi I V 2003 Phys. Rev. B 68 035421
21. Lal S, Rao S and Sen D 2002 Phys. Rev. B 66 165327
22. Kazymyrenko K and Douçot B 2005 Phys. Rev. B 71 075110
23. Titov M, Müller M and Belzig W 2006 Phys. Rev. Lett. 97 237006
24. Salmhofer M and Honerkamp C 2001 Prog. Theor. Phys. 105 1
25. Meden V Lecture notes on the 'Functional renormalization group' Online at http://www.theorie.physik.unigoettingen.de/~meden/funRG/
26. Meden V, Metzner W, Schollwöck U and Schönhammer K 2002 J. Low Temp. Phys. 126 1147
27. Meden V, Andergassen S, Metzner W, Schollwöck U and Schönhammer K 2003 Europhys. Lett. 64 769
28. Enss T, Meden V, Andergassen S, Barnabé-Thériault X, Metzner W and Schönhammer K 2005 Phys. Rev. B 71 155401
29. Jakobs S, Meden V, Schoeller H and Enss T 2007 Phys. Rev. B 75 035126
30. Barnabé-Thériault X, Sedeki A, Meden V and Schönhammer K 2005 Phys. Rev. Lett. 94 136405
31. Barnabé-Thériault X, Sedeki A, Meden V and Schönhammer K 2005 Phys. Rev. B 71 205327
32. Andergassen S, Enss T, Meden V, Metzner W, Schollwöck U and Schönhammer K 2006 Phys. Rev. B 73 045125
33. Haldane F D M 1980 Phys. Rev. Lett. 45 1358
34. Andergassen S, Enss T, Meden V, Metzner W, Schollwöck U and Schönhammer K 2004 Phys. Rev. B 70 075102
35. Sólyom J 1979 Adv. Phys. 28 201
36. Schollwöck U 2005 Rev. Mod. Phys. 77 259
37. Chamon C, Oshikawa M and Affleck I 2003 Phys. Rev. Lett. 91 206403
38. Aristov D N and Wölfle P 2007 Preprint arXiv:0709.1562
39. Taylor J R 1972 Scattering Theory (New York: Wiley)