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 transcript:

Phys. Rev. Lett. 1990

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

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

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

K. Damle and S. Sachdev,

Collisionless 1

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

CFT3

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

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

J. McGreevy, arXiv

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

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

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

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

BA C D

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

Quantum criticality of Ising-nematic order

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

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

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

Fermi liquid theory

Quantum criticality of Ising-nematic transition

Theory of Ising-nematic transition

Theory of quantum criticality in the cuprates T*T*

T*T*

T*T*

T*T*

T*T*

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

T*T*

R. K. Kaul, M. Metlitksi, S. Sachdev, and Cenke Xu, Physical Review B 78, (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

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

Similar phase diagram for the pnictides Ishida, Nakai, and Hosono arXiv: v1 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: