2010

Condensed matter and AdS/CFT

Sachdev, Subir

Understand

I review two classes of strong coupling problems in condensed matter physics, and describe insights gained by application of the AdS/CFT correspondence.

The first class concerns non-zero temperature dynamics and transport in the vicinity of quantum critical points described by relativistic field theories.
I describe how relativistic structures arise in models of physical interest, present results for their quantum critical crossover functions and magneto-thermoelectric hydrodynamics.
The second class concerns symmetry breaking transitions of two-dimensional systems in the presence of gapless electronic excitations at isolated points or along lines (i.e.

Built on

L. P. Kadanoff and P. C. Martin, Annals of Physics 24
1963
Earlier work this paper cites.
A. Luther, Phys. Rev. B 19
1979
Earlier work this paper cites.
C. Dasgupta and B. I. Halperin, Phys. Rev. Lett. 47
1981
Earlier work this paper cites.
Landau, L. D. & Lifshitz, E. M. Fluid Mechanics
1987
Earlier work this paper cites.
N. Read and S. Sachdev, Phys. Rev. Lett. 62
1989
Earlier work this paper cites.
S. Chakravarty, B. I. Halperin, and D. R. Nelson, Phys. Rev. B 39
1989
Earlier work this paper cites.
M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40: 546, 1989
1989
Earlier work this paper cites.
M. P. A. Fisher, G. Grinstein, and S. M. Girvin, Phys. Rev. Lett. 64
1990
Earlier work this paper cites.
B. Rosenstein, B. J. Warr, and S. H. Park, Phys. Rep. 205
1991
Earlier work this paper cites.
A. Houghton and J. B. Marston, Phys. Rev. B 48
1993
Earlier work this paper cites.
A. W. Sandvik and D. J. Scalapino, Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
S. Sachdev and J. Ye, Phys. Rev. Lett. 69
1994
Earlier work this paper cites.
L. Kärkkäinen, R. Lacaze, P. Lacock, and B. Petersson, Nucl. Phys. B 415
1994
Earlier work this paper cites.
H.-J. Kwon, A. Houghton, and J. B. Marston, Phys. Rev. Lett. 73
1994
Earlier work this paper cites.
F. D. M. Haldane, Proceedings of the International School of Physics “Enrico Fermi”, Course CXXI “Perspectives in Many-Particle Physics”, R. A. Broglia and J. R. Schrieffer eds., North-Holland, Amsterdam (1994); arXiv:cond-mat/0505529
1994
Earlier work this paper cites.
A. H. Castro Neto and E. H. Fradkin, Phys. Rev. B 51
1995
Earlier work this paper cites.
M. Troyer, M. Imada, and K. Ueda, J. Phys. Soc. Japan 66
1997
Earlier work this paper cites.
Y. Matsushita, M. P. Gelfand, and C. Ishii, J. Phys. Soc. Jpn 66
1997
Earlier work this paper cites.
K. Damle and S. Sachdev, Phys. Rev. B 56
1997
Earlier work this paper cites.
N. Itzhaki, J. M. Maldacena, J. Sonnenschein and S. Yankielowicz, Phys. Rev. D 58
1998
Earlier work this paper cites.
R. B. Laughlin, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
S. Sachdev, Quantum Phase Transitions
1999
Earlier work this paper cites.

Similar

M. Vojta, Y. Zhang, and S. Sachdev, Int. J. Mod. Phys. B 14
2000
Cited alongside, same era.
M.-R. Li, P. J. Hirschfeld, and P. Woelfle, Phys. Rev. B 63
2001
Cited alongside, same era.
D. V. Khveshchenko and J. Paaske, Phys. Rev. Lett. 86
2001
Cited alongside, same era.
S. Sachdev, Lectures at the International Summer School on Fundamental Problems in Statistical Physics X
2002
Cited alongside, same era.
M. Matsumoto, C. Yasuda, S. Todo, and H. Takayama, Phys. Rev.B 65
2002
Cited alongside, same era.
M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B 65
2002
Cited alongside, same era.
Y. Ando, K. Segawa, S. Komiya, and A. N. Lavrov, Phys. Rev. Lett. 88
2002
Cited alongside, same era.
T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fisher, Science 303
2004
Cited alongside, same era.
P. K. Kovtun, D. T. Son, and A. Starinets, Phys. Rev. Lett. 94
2005
Cited alongside, same era.
M. Tamura, A. Nakao and R. Kato, J. Phys. Soc. Japan 75
2006
Cited alongside, same era.
M. J. Lawler, V. Fernandez, D. G. Barci, E. Fradkin, and L. Oxman, Phys. Rev. B 73
2006
Cited alongside, same era.
Y. Shimizu, H. Akimoto, H. Tsujii, A. Tajima, and R. Kato, Phys. Rev. Lett. 99
2007
Cited alongside, same era.

Then

F.-J. Jiang, M. Nyfeler, S. Chandrasekharan, and U.-J. Wiese, Stat. Mech. (2008) P02009
2008
Later among the works it cites.
A. B. Kuklov, M. Matsumoto, N. V. Prokof’ev, B. V. Svistunov, and M. Troyer, Phys. Rev. Lett. 101
2008
Later among the works it cites.
L. Fritz, J. Schmalian, M. Müller and S. Sachdev, Phys. Rev. B 78
2008
Later among the works it cites.
S. A. Hartnoll and C. P. Herzog, Phys. Rev. D 77
2008
Later among the works it cites.
M. Vojta, Y. Zhang, and S. Sachdev, Phys. Rev. Lett. 85
2008
Later among the works it cites.
V. Hinkov, D. Haug, B. Fauqué, P. Bourges, Y. Sidis, A. Ivanov, C. Bernhard, C. T. Lin, and B. Keimer, Science 319
2008
Later among the works it cites.
E.-A. Kim, M. J. Lawler, P. Oreto, S. Sachdev, E. Fradkin, and S. A. Kivelson, Phys. Rev. B 77
2008
Later among the works it cites.
Y. Huh and S. Sachdev, Phys. Rev. B 78
2008
Later among the works it cites.
S. Wenzel and W. Janke, Phys. Rev. B 79
2009
Later among the works it cites.
A. H. Castro Neto, F. Guinea, N. M. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 81
2009
Later among the works it cites.
M. Müller, J. Schmalian, and L. Fritz, Phys. Rev. Lett. 103
2009
Later among the works it cites.
M. Müller, L. Fritz, S. Sachdev, and J. Schmalian, Advances in Theoretical Physics: Landau Memorial Conference, Chernogolovka 2008, AIP Conference Proceedings 1134
2009
Later among the works it cites.
M. J. Bhaseen, A. G. Green, and S. L. Sondhi, Phys. Rev. Lett. 98
2009
Later among the works it cites.
I. F. Herbut, V. Juričić and B. Roy, Phys. Rev. B 79
2009
Later among the works it cites.
V. Juričić, I. F. Herbut, and G. W. Semenoff, Phys. Rev. B 80
2009
Later among the works it cites.
L. Fritz and S. Sachdev, Phys. Rev. B 80
2009
Later among the works it cites.
S.-S. Lee, Phys. Rev. B 80
2009
Later among the works it cites.
S.-S. Lee, Phys. Rev. D 79
2009
Later among the works it cites.
M. Cubrovic, J. Zaanen, and K. Schalm, Science 325
2009
Later among the works it cites.
F. Denef, S. A. Hartnoll, and S. Sachdev, Phys. Rev. D 80
Original
2009
Later among the works it cites.
R. Daou, J. Chang, D. LeBoeuf, O. Cyr-Choiniere, F. Laliberte, N. Doiron-Leyraud, B. J. Ramshaw, Ruixing Liang, D. A. Bonn, W. N. Hardy, and L. Taillefer, Nature 463, 519 (2010)
2010
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…