Monte Carlo Studies of Quantum Critical Metals

Berg, Erez; Lederer, Samuel; Schattner, Yoni; Trebst, Simon

doi:10.1146/annurev-conmatphys-031218-013339

Title: Monte Carlo Studies of Quantum Critical Metals

Journal Article · 15 November 2018 · Annual Review of Condensed Matter Physics

DOI: https://doi.org/10.1146/annurev-conmatphys-031218-013339 · OSTI ID:1527340

Berg, Erez ^[1]; Lederer, Samuel ^[2]; Schattner, Yoni ^[3]; Trebst, Simon ^[4]

Univ. of Illinois, Chicago, IL (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Stanford Univ., CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Univ. of Cologne (Germany)

Metallic quantum critical phenomena are believed to play a key role in many strongly correlated materials, including high-temperature superconductors. Theoretically, the problem of quantum criticality in the presence of a Fermi surface has proven to be highly challenging. Yet, it has recently been realized that many models used to describe such systems are amenable to numerically exact solution by quantum Monte Carlo (QMC) techniques, without suffering from the fermion sign problem. In this review, we examine the status of the understanding of metallic quantum criticality and the recent progress made by QMC simulations. We focus on the cases of spin-density wave and Ising nematic criticality. We describe the results obtained so far and their implications for superconductivity, non-Fermi liquid behavior, and transport near metallic quantum critical points. Some of the outstanding puzzles and future directions are specified.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1527340

Journal Information:: Annual Review of Condensed Matter Physics, Journal Name: Annual Review of Condensed Matter Physics Journal Issue: 1 Vol. 10; ISSN 1947-5454

Publisher:: Annual ReviewsCopyright Statement

Country of Publication:: United States

Language:: English

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Intrinsic sign problems in topological quantum field theories Smith, Adam; Golan, Omri; Ringel, Zohar arXiv https://doi.org/10.48550/arxiv.2005.05343	text	January 2020
Non-Fermi liquid transport in the vicinity of nematic quantum critical point of FeSe$_{1-x}$S$_x$ superconductor Huang, W. K.; Hosoi, S.; Čulo, M. arXiv https://doi.org/10.48550/arxiv.2008.06381	text	January 2020
Multiple intertwined pairing states and temperature-sensitive gap anisotropy for superconductivity at a nematic quantum-critical point Klein, Avraham; Wu, Yi-Ming; Chubukov, Andrey V. npj Quantum Materials, Vol. 4, Issue 1 https://doi.org/10.1038/s41535-019-0192-x	journal	November 2019
Itinerant quantum critical point with fermion pockets and hotspots Liu, Zi Hong; Pan, Gaopei; Xu, Xiao Yan Proceedings of the National Academy of Sciences, Vol. 116, Issue 34 https://doi.org/10.1073/pnas.1901751116	journal	August 2019
Cooper pairing of incoherent electrons: An electron-phonon version of the Sachdev-Ye-Kitaev model Esterlis, Ilya; Schmalian, Jörg Physical Review B, Vol. 100, Issue 11 https://doi.org/10.1103/physrevb.100.115132	journal	September 2019
Quantum phase transition and criticality in quasi-one-dimensional spinless Dirac fermions Tada, Yasuhiro Physical Review B, Vol. 100, Issue 12 https://doi.org/10.1103/physrevb.100.125145	journal	September 2019
Growth of nematic susceptibility in the field-induced normal state of an iron-based superconductor revealed by elastoresistivity measurements in a 65 T pulsed magnet Straquadine, J. A. W.; Palmstrom, J. C.; Walmsley, P. Physical Review B, Vol. 100, Issue 12 https://doi.org/10.1103/physrevb.100.125147	journal	September 2019
Probing transport in quantum many-fermion simulations via quantum loop topography Zhang, Yi; Bauer, Carsten; Broecker, Peter Physical Review B, Vol. 99, Issue 16 https://doi.org/10.1103/physrevb.99.161120	journal	April 2019
Scattering mechanisms and electrical transport near an Ising nematic quantum critical point Wang, Xiaoyu; Berg, Erez Physical Review B, Vol. 99, Issue 23 https://doi.org/10.1103/physrevb.99.235136	journal	June 2019
Supermetal Isobe, Hiroki; Fu, Liang Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/physrevresearch.1.033206	journal	December 2019
Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal: A Monte Carlo study Bauer, Carsten; Schattner, Yoni; Trebst, Simon Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/physrevresearch.2.023008	journal	April 2020
Scattering mechanisms and electrical transport near an Ising nematic quantum critical point Wang, Xiaoyu; Berg, Erez arXiv https://doi.org/10.48550/arxiv.1902.04590	text	January 2019
Quantum phase transition and criticality in quasi one-dimensional spinless Dirac fermions Tada, Yasuhiro arXiv https://doi.org/10.48550/arxiv.1906.06052	text	January 2019
Hierarchy of energy scales in an O(3) symmetric antiferromagnetic quantum critical metal: a Monte Carlo study Bauer, Carsten; Schattner, Yoni; Trebst, Simon arXiv https://doi.org/10.48550/arxiv.2001.00586	text	January 2020

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