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Phys. Rev. Lett. 1990

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

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Page 1: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Phys. Rev. Lett. 1990

Page 2: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

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

Superfluid-insulator transition

Page 3: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 4: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Quantum critical transport

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

Page 5: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Quantum critical transport

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

The worst possible state for quantum computation

Page 6: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

K. Damle and S. Sachdev, 1997

1

Page 7: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

K. Damle and S. Sachdev, 1997

Collisionless

1

Page 8: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

K. Damle and S. Sachdev, 1997

Collision-dominated

1

Page 9: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

CFT3

Page 10: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 11: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 12: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 13: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 14: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 15: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 16: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

P. Kovtun, C. Herzog, S. Sachdev, and D.T. Son, Phys. Rev. D 75, 085020 (2007)

Collisionless to hydrodynamic crossover of SYM3

Collisionless

Page 17: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

P. Kovtun, C. Herzog, S. Sachdev, and D.T. Son, Phys. Rev. D 75, 085020 (2007)

Collisionless to hydrodynamic crossover of SYM3

Collision-dominated

Page 18: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 19: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 20: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 21: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 22: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

J. McGreevy, arXiv0909.0518

Page 23: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 24: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 25: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 26: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 27: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

The quantum phase transitions of metals

in two dimensions

HARVARDTalk online: sachdev.physics.harvard.edu

Page 28: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

The quantum phase transitions of metals

in two dimensions

HARVARDTalk online: sachdev.physics.harvard.edu

Field theories with singularities along lines in

momentum space:also being studied by

the AdS/CFT correspondence

Page 29: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Max Metlitski, Harvard

HARVARD

arXiv:1001.1153,and to appear

Eun Gook Moon, HarvardPhys. Rev. B 80, 035117 (2009),and to appear

Page 30: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Central ingredients in cuprate phase diagram: antiferromagnetism,

superconductivity, and change in Fermi surface

StrangeMetal

Page 31: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 32: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

BAC

D

Page 33: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

BAC

D

Strong anisotropy of electronic states

between x and y directions:

Electronic “Ising-nematic” order

Page 34: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Quantum criticality of Ising-nematic order

Page 35: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Quantumcritical

TI-n

Quantum criticality of Ising-nematic ordering

Page 36: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Quantumcritical

TI-n

StrangeMetal ?

Quantum criticality of Ising-nematic ordering

Page 37: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Fermi liquid theory

Infinite number of 1+1 dimensional chiral fermions

Page 38: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Fermi liquid theory

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

Fermi liquid theory

Page 40: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Fermi liquid theory

Page 41: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Fermi liquid theory

Page 42: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Fermi liquid theory

Page 43: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Fermi liquid theory

Page 44: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Fermi liquid theory

Page 45: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Fermi liquid theory

Page 46: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Quantum criticality of Ising-nematic transition

Page 47: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 48: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Theory of Ising-nematic transition

Page 49: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 50: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Theory of Ising-nematic transition

Page 51: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition
Page 52: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Theory of quantum criticality in the cuprates

T*

Page 53: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Theory of quantum criticality in the cuprates

T*

Page 54: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Theory of quantum criticality in the cuprates

T*

Page 55: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Theory of quantum criticality in the cuprates

T*

Page 56: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Theory of quantum criticality in the cuprates

T*

Page 57: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Shift of ordering critical point in a metal due to onset of

superconductivitySDW ordering:

Ising-nematic ordering:

E.G. Moon and S. Sachdev, to appear

Page 58: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

T*

Page 59: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

R. K. Kaul, M. Metlitksi, S. Sachdev, and Cenke Xu, Physical Review B 78, 045110 (2008).

Onset of superconductiv

ity disrupts SDW order, but

VBS/CDW/Ising-nematic ordering can

survive

VBS/CDW and/orIsing-nematic order

TI-n

Page 60: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

G. Knebel, D. Aoki, and J. Flouquet, arXiv:0911.5223

Similar phase diagram for CeRhIn5

Page 61: Phys. Rev. Lett. 1990. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch, and I. Bloch, Nature 415, 39 (2002). Superfluid-insulator transition

Similar phase diagram for the pnictides

Ishida, Nakai, and HosonoarXiv: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.