Quantum phase transitions of metals in two dimensions
- Slides: 75
Quantum phase transitions of metals in two dimensions Talk online: sachdev. physics. harvard. edu HARVARD
Max Metlitski, Harvard ar. Xiv: 1001. 1153 ar. Xiv: 0907. 0008 HARVARD
1. Order parameters at zero wavevector Ising-nematic order 2. Order parameter at non-zero wavevector Spin density wave order 3. Quantum criticality and the cuprate phase diagram Insights from recent high field experiments
1. Order parameters at zero wavevector Ising-nematic order 2. Order parameter at non-zero wavevector Spin density wave order 3. Quantum criticality and the cuprate phase diagram Insights from recent high field experiments
Segawa, S. Komiya, and A. N. Lavrov, Phys. Rev. Lett. 88, 13700
Nematic order in YBCO V. Hinkov, D. Haug, B. Fauqué, P. Bourges, Y. Sidis, A. Ivanov, C. Bernhard, C. T. Lin, and B. Keimer , Science 319, 597 (2008)
Broken rotational symmetry in the pseudogap phase of a high-Tc superconductor R. Daou, J. Chang, David Le. Boeuf, Olivier Cyr-Choiniere, Francis Laliberte, Nicolas Doiron-Leyraud, B. J. Ramshaw, Ruixing Liang, D. A. Bonn, W. N. Hardy, and Louis Taillefer ar. Xiv: 0909. 4430, Nature, in press.
Quantum criticality of Pomeranchuk instability y x
Quantum criticality of Pomeranchuk instability y x
Quantum criticality of Pomeranchuk instability y x
Quantum criticality of Pomeranchuk instability y x
Quantum criticality of Pomeranchuk instability y x
Quantum criticality of Pomeranchuk instability
Quantum criticality of Pomeranchuk instability Quantum critical
Quantum criticality of Pomeranchuk instability Quantum critical Classical d=2 Ising criticality
Quantum criticality of Pomeranchuk instability Quantum critical D=2+1 quantum criticality ?
Quantum criticality of Pomeranchuk instability
Quantum criticality of Pomeranchuk instability
Quantum criticality of Pomeranchuk instability
Quantum criticality of Pomeranchuk instability
Quantum criticality of Pomeranchuk instability
Theory of Ising-nematic transition
Theory of a U(1) spin-Bose metal
Theory of Ising-nematic transition
“Hot” Fermi surfaces
Computations in the 1/N expansion ung-Sik Lee, Physical Review B 80, 165102 (2009)
Computations in the 1/N expansion ung-Sik Lee, Physical Review B 80, 165102 (2009)
1. Order parameters at zero wavevector Ising-nematic order 2. Order parameter at non-zero wavevector Spin density wave order 3. Quantum criticality and the cuprate phase diagram Insights from recent high field experiments
1. Order parameters at zero wavevector Ising-nematic order 2. Order parameter at non-zero wavevector Spin density wave order 3. Quantum criticality and the cuprate phase diagram Insights from recent high field experiments
“Large” Fermi surfaces in cuprates Hole states occupied Electron states occupied
Spin density wave theory
Spin density wave theory
Hole-doped cuprates Hole pockets Electron pockets S. Sachdev, A. V. Chubukov, and A. Sokol, Phys. Rev. B 51, 14874 (1995). A. V. Chubukov and D. K. Morr, Physics Reports 288, 355 (1997).
Hole-doped cuprates Hole pockets Electron pockets S. Sachdev, A. V. Chubukov, and A. Sokol, Phys. Rev. B 51, 14874 (1995). A. V. Chubukov and D. K. Morr, Physics Reports 288, 355 (1997).
“Hot spot” “Cold” Fermi surfaces
Hertz-Moriya-Millis (HMM) theory
Hertz-Moriya-Millis (HMM) theory Ar. Abanov and A. V. Chubukov, Phys. Rev. Lett. 93, 255702 (2
1. Order parameters at zero wavevector Ising-nematic order 2. Order parameter at non-zero wavevector Spin density wave order 3. Quantum criticality and the cuprate phase diagram Insights from recent high field experiments
1. Order parameters at zero wavevector Ising-nematic order 2. Order parameter at non-zero wavevector Spin density wave order 3. Quantum criticality and the cuprate phase diagram Insights from recent high field experiments
Theory of quantum criticality in the cuprates
Theory of quantum criticality in the cuprates
Theory of quantum criticality in the cuprates
Theory of quantum criticality in the cuprates
Theory of quantum criticality in the cuprates Criticality of the coupled dimer antiferromagnet at x=xs
Theory of quantum criticality in the cuprates Criticality of the topological change in Fermi surface at x=xm
Hc 2
Hc 2 Quantum oscillations
Fermi liquid behaviour in an underdoped high Tc superconductor Suchitra E. Sebastian, N. Harrison, M. M. Altarawneh, Ruixing Liang, D. A. Bonn, W. N. Hardy, and G. G. Lonzarich ar. Xiv: 0912. 3022
V. Galitski and S. Sachdev, Physical Review B 79, 134512 (2009). Eun Gook Moon and S. Sachdev, Physical Review B 80, 035117 (2009).
Hsdw
Neutron scattering & muon resonance Hsdw
B. Lake, H. M. Rønnow, N. B. Christensen, G. Aeppli, K. Lefmann, D. F. Mc. Morrow, P. Vorderwisch, P. Smeibidl, N. Mangkorntong, T. Sasagawa, M. Nohara, H. Takagi, and T. E. Mason, Nature 415, 299 (2002) B. Lake, G. Aeppli, K. N. Clausen, D. F. Mc. Morrow, K. Lefmann, N. E. Hussey, N. Mangkorntong, M. Nohara, H. Takagi, T. E. Mason, and A.
J. Chang, Ch. Niedermayer, R. Gilardi, N. B. Christensen, H. M. Ronnow, D. F. Mc. Morrow, M. Ay, J. Stahn, O. Sobolev, A. Hiess, S. Pailhes, C. Baines, N. Momono, M. Oda, M. Ido, and J. Mesot, Physical Review B 78, 104525 (2008). J. Chang, N. B. Christensen, Ch. Niedermayer, K. Lefmann, H. M. Roennow, D. F. Mc. Morrow, A. Schneidewind, P. Link, A. Hiess, M. Boehm, R. Mottl, S. Pailhes, N. Momono, M. Oda, M. Ido, and J. Mesot, Phys. Rev. Lett. 102, 177006
D. Haug, V. Hinkov, A. Suchaneck, D. S. Inosov, N. B. Christensen, Ch. Niedermayer, P. Bourges, Y. Sidis, J. T. Park, A. Ivanov, C. T. Lin, J. Mesot, and B. Keimer, Phys. Rev. Lett. 103, 017001 (2009)
Onset of superconductivity disrupts SDW order, but associated CDW/VBS/nemat ic ordering can survive R. K. Kaul, M. Metlitksi, S. Sachdev, and Cenke Xu, Physical Review B 78, 045110 (2008). VBS and/or nematic
Similar phase diagram for Ce. Rh. In 5 G. Knebel, D. Aoki, and J. Flouquet, ar. Xiv: 0911. 5223
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