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Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition.

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Presentation on theme: "Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition."— Presentation transcript:

1 Phys. Rev. Lett. 1990

2 M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

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4 Quantum critical transport S. Sachdev, Quantum Phase Transitions, Cambridge (1999).

5 Quantum critical transport S. Sachdev, Quantum Phase Transitions, Cambridge (1999). The worst possible state for quantum computation

6 K. Damle and S. Sachdev, 1997 1

7 Collisionless 1

8 K. Damle and S. Sachdev, 1997 Collision-dominated 1

9 CFT3

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16 P. Kovtun, C. Herzog, S. Sachdev, and D.T. Son, Phys. Rev. D 75, 085020 (2007) Collisionless to hydrodynamic crossover of SYM3 Collisionless

17 P. Kovtun, C. Herzog, S. Sachdev, and D.T. Son, Phys. Rev. D 75, 085020 (2007) Collisionless to hydrodynamic crossover of SYM3 Collision-dominated

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22 J. McGreevy, arXiv0909.0518

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27 The quantum phase transitions of metals in two dimensions HARVARD Talk online: sachdev.physics.harvard.edu

28 The quantum phase transitions of metals in two dimensions HARVARD Talk online: sachdev.physics.harvard.edu Field theories with singularities along lines in momentum space: also being studied by the AdS/CFT correspondence

29 Max Metlitski, Harvard HARVARD arXiv:1001.1153, and to appear Eun Gook Moon, Harvard Phys. Rev. B 80, 035117 (2009), and to appear

30 Central ingredients in cuprate phase diagram: antiferromagnetism, superconductivity, and change in Fermi surface Strange Metal

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32 BA C D

33 BA C D Strong anisotropy of electronic states between x and y directions: Electronic “Ising-nematic” order

34 Quantum criticality of Ising-nematic order

35 Quantum critical T I-n Quantum criticality of Ising-nematic ordering

36 Quantum critical T I-n Strange Metal ? Quantum criticality of Ising-nematic ordering

37 Fermi liquid theory Infinite number of 1+1 dimensional chiral fermions

38 Fermi liquid theory

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46 Quantum criticality of Ising-nematic transition

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48 Theory of Ising-nematic transition

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52 Theory of quantum criticality in the cuprates T*T*

53 T*T*

54 T*T*

55 T*T*

56 T*T*

57 Shift of ordering critical point in a metal due to onset of superconductivity SDW ordering: Ising-nematic ordering: E.G. Moon and S. Sachdev, to appear

58 T*T*

59 R. K. Kaul, M. Metlitksi, S. Sachdev, and Cenke Xu, Physical Review B 78, 045110 (2008). Onset of superconductivity disrupts SDW order, but VBS/CDW/ Ising-nematic ordering can survive VBS/CDW and/or Ising-nematic order T I-n

60 G. Knebel, D. Aoki, and J. Flouquet, arXiv:0911.5223 Similar phase diagram for CeRhIn 5

61 Similar phase diagram for the pnictides Ishida, Nakai, and Hosono arXiv:0906.2045v1 S. Nandi, M. G. Kim, A. Kreyssig, R. M. Fernandes, D. K. Pratt, A. Thaler, N. Ni, S. L. Bud'ko, P. C. Canfield, J. Schmalian, R. J. McQueeney, A. I. Goldman, arXiv:0911.3136.


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