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Title: Enhanced correlations and superconductivity in weakly interacting partially flat-band systems: A determinantal quantum Monte Carlo study

Abstract

Motivated by recent experiments realizing correlated phenomena and superconductivity in two-dimensional (2D) van der Waals devices, we consider the general problem of whether correlation effects may be enhanced by modifying band structure while keeping a fixed weak interaction strength. Using determinantal quantum Monte Carlo, we study the 2D Hubbard model for two different band structures: a regular nearest-neighbor tight-binding model and a partially flat-band structure containing a nondispersing region, with identical total noninteracting bandwidth Wtot. For both repulsive and attractive weak interactions (|U| $$\ll$$ W$$_{tot}$$, correlated phenomena are significantly stronger in the partially flat model. In the repulsive case, even with $U$ being an order of magnitude smaller than W$$_{tot}$$, we find the presence of a Mott insulating state near half filling of the flat region in momentum space. In the attractive case, where generically the ground state is superconducting, the partially flat model exhibits significantly enhanced superconducting transition temperatures. These results suggest the possibility of engineering correlation effects in materials by tuning the noninteracting electronic dispersion.

Authors:
 [1];  [2];  [3];  [4]
  1. Stanford Univ., CA (United States). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
  2. Pasargad Inst. for Advanced Innovative Solutions, Tehran (Iran); Washington Univ., St. Louis, MO (United States). Dept. of Physics
  3. Washington Univ., St. Louis, MO (United States). Dept. of Physics
  4. Stanford Univ., CA (United States). Dept. of Physics; Stanford Univ., CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
OSTI Identifier:
1546747
Alternate Identifier(s):
OSTI ID: 1546233
Grant/Contract Number:  
AC02-76SF00515; NSF 1411229
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 23; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Huang, Edwin W., Vaezi, Mohammad-Sadegh, Nussinov, Zohar, and Vaezi, Abolhassan. Enhanced correlations and superconductivity in weakly interacting partially flat-band systems: A determinantal quantum Monte Carlo study. United States: N. p., 2019. Web. doi:10.1103/physrevb.99.235128.
Huang, Edwin W., Vaezi, Mohammad-Sadegh, Nussinov, Zohar, & Vaezi, Abolhassan. Enhanced correlations and superconductivity in weakly interacting partially flat-band systems: A determinantal quantum Monte Carlo study. United States. doi:10.1103/physrevb.99.235128.
Huang, Edwin W., Vaezi, Mohammad-Sadegh, Nussinov, Zohar, and Vaezi, Abolhassan. Thu . "Enhanced correlations and superconductivity in weakly interacting partially flat-band systems: A determinantal quantum Monte Carlo study". United States. doi:10.1103/physrevb.99.235128. https://www.osti.gov/servlets/purl/1546747.
@article{osti_1546747,
title = {Enhanced correlations and superconductivity in weakly interacting partially flat-band systems: A determinantal quantum Monte Carlo study},
author = {Huang, Edwin W. and Vaezi, Mohammad-Sadegh and Nussinov, Zohar and Vaezi, Abolhassan},
abstractNote = {Motivated by recent experiments realizing correlated phenomena and superconductivity in two-dimensional (2D) van der Waals devices, we consider the general problem of whether correlation effects may be enhanced by modifying band structure while keeping a fixed weak interaction strength. Using determinantal quantum Monte Carlo, we study the 2D Hubbard model for two different band structures: a regular nearest-neighbor tight-binding model and a partially flat-band structure containing a nondispersing region, with identical total noninteracting bandwidth Wtot. For both repulsive and attractive weak interactions (|U| $\ll$ W$_{tot}$, correlated phenomena are significantly stronger in the partially flat model. In the repulsive case, even with $U$ being an order of magnitude smaller than W$_{tot}$, we find the presence of a Mott insulating state near half filling of the flat region in momentum space. In the attractive case, where generically the ground state is superconducting, the partially flat model exhibits significantly enhanced superconducting transition temperatures. These results suggest the possibility of engineering correlation effects in materials by tuning the noninteracting electronic dispersion.},
doi = {10.1103/physrevb.99.235128},
journal = {Physical Review B},
number = 23,
volume = 99,
place = {United States},
year = {2019},
month = {6}
}

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Works referenced in this record:

Unconventional superconductivity in nearly flat bands in twisted bilayer graphene
journal, March 2019


Graphite, Graphene, and the Flat Band Superconductivity
journal, April 2018


Topological Superconductivity in Twisted Multilayer Graphene
journal, August 2018


Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene
journal, September 2018


Unconventional superconductivity in magic-angle graphene superlattices
journal, March 2018


Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands
journal, July 2018


Sign problem in the numerical simulation of many-electron systems
journal, May 1990


Pairing symmetry of interacting fermions on a twisted bilayer graphene superlattice
journal, June 2018


Topological Edge States at a Tilt Boundary in Gated Multilayer Graphene
journal, June 2013


Quantum cluster theories
journal, October 2005


Lowest-energy moiré band formed by Dirac zero modes in twisted bilayer graphene
journal, April 2019


Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
journal, May 1996


Iron-Based Layered Superconductor La[O 1- x F x ]FeAs ( x = 0.05−0.12) with T c = 26 K
journal, March 2008

  • Kamihara, Yoichi; Watanabe, Takumi; Hirano, Masahiro
  • Journal of the American Chemical Society, Vol. 130, Issue 11
  • DOI: 10.1021/ja800073m

Unconventional Pairing Originating from the Disconnected Fermi Surfaces of Superconducting LaFeAsO 1 x F x
journal, August 2008


New State of Matter: Heavy Fermion Systems, Quantum Spin Liquids, Quasicrystals, Cold Gases, and High-Temperature Superconductors
journal, August 2017

  • Shaginyan, V. R.; Stephanovich, V. A.; Msezane, A. Z.
  • Journal of Low Temperature Physics, Vol. 189, Issue 5-6
  • DOI: 10.1007/s10909-017-1801-3

Theory of Phonon-Mediated Superconductivity in Twisted Bilayer Graphene
journal, December 2018


Superconductivity at 93 K in a new mixed-phase Y-Ba-Cu-O compound system at ambient pressure
journal, March 1987


Commensuration and interlayer coherence in twisted bilayer graphene
journal, April 2010


Competing States in the t - J Model: Uniform d -Wave State versus Stripe State
journal, July 2014


Geometry dependence of the sign problem in quantum Monte Carlo simulations
journal, July 2015


Monte Carlo calculations of coupled boson-fermion systems. I
journal, October 1981


Critical temperature for the two-dimensional attractive Hubbard model
journal, May 2004


The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987


Stripe order in the underdoped region of the two-dimensional Hubbard model
journal, November 2017


Topological Confinement in Bilayer Graphene
journal, January 2008


Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
journal, December 2015

  • LeBlanc, J. P. F.; Antipov, Andrey E.; Becca, Federico
  • Physical Review X, Vol. 5, Issue 4
  • DOI: 10.1103/PhysRevX.5.041041

Two-dimensional gas of massless Dirac fermions in graphene
journal, November 2005

  • Novoselov, K. S.; Geim, A. K.; Morozov, S. V.
  • Nature, Vol. 438, Issue 7065, p. 197-200
  • DOI: 10.1038/nature04233

Experimental observation of the quantum Hall effect and Berry's phase in graphene
journal, November 2005

  • Zhang, Yuanbo; Tan, Yan-Wen; Stormer, Horst L.
  • Nature, Vol. 438, Issue 7065, p. 201-204
  • DOI: 10.1038/nature04235

Stripe order from the perspective of the Hubbard model
journal, April 2018

  • Huang, Edwin W.; Mendl, Christian B.; Jiang, Hong-Chen
  • npj Quantum Materials, Vol. 3, Issue 1
  • DOI: 10.1038/s41535-018-0097-0

Colloquium : Theory of intertwined orders in high temperature superconductors
journal, May 2015

  • Fradkin, Eduardo; Kivelson, Steven A.; Tranquada, John M.
  • Reviews of Modern Physics, Vol. 87, Issue 2
  • DOI: 10.1103/RevModPhys.87.457

Electronic structure theory of weakly interacting bilayers
journal, June 2016


Mean-field theory for superconductivity in twisted bilayer graphene
journal, December 2018


Doped Twisted Bilayer Graphene near Magic Angles: Proximity to Wigner Crystallization, Not Mott Insulation
journal, September 2018


Possible highT c superconductivity in the Ba?La?Cu?O system
journal, June 1986

  • Bednorz, J. G.; M�ller, K. A.
  • Zeitschrift f�r Physik B Condensed Matter, Vol. 64, Issue 2
  • DOI: 10.1007/BF01303701

Unconventional Superconductivity with a Sign Reversal in the Order Parameter of LaFeAsO 1 x F x
journal, July 2008


Localization of Dirac Electrons in Rotated Graphene Bilayers
journal, March 2010

  • Trambly de Laissardière, G.; Mayou, D.; Magaud, L.
  • Nano Letters, Vol. 10, Issue 3
  • DOI: 10.1021/nl902948m

Model for the metal-insulator transition in graphene superlattices and beyond
journal, July 2018


Topological valley transport at bilayer graphene domain walls
journal, April 2015


Flat bands in slightly twisted bilayer graphene: Tight-binding calculations
journal, September 2010


Charge-transfer insulation in twisted bilayer graphene
journal, December 2018


Electronics and optoelectronics of two-dimensional transition metal dichalcogenides
journal, November 2012

  • Wang, Qing Hua; Kalantar-Zadeh, Kourosh; Kis, Andras
  • Nature Nanotechnology, Vol. 7, Issue 11, p. 699-712
  • DOI: 10.1038/nnano.2012.193

Phases of a phenomenological model of twisted bilayer graphene
journal, August 2018


Moire bands in twisted double-layer graphene
journal, July 2011

  • Bistritzer, R.; MacDonald, A. H.
  • Proceedings of the National Academy of Sciences, Vol. 108, Issue 30
  • DOI: 10.1073/pnas.1108174108

Correlated insulator behaviour at half-filling in magic-angle graphene superlattices
journal, March 2018


Superconducting transitions in flat-band systems
journal, September 2014


Valley Chern numbers and boundary modes in gapped bilayer graphene
journal, June 2013

  • Zhang, F.; MacDonald, A. H.; Mele, E. J.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 26
  • DOI: 10.1073/pnas.1308853110

Competition of electron-phonon mediated superconductivity and Stoner magnetism on a flat band
journal, August 2018


Doping a Mott insulator: Physics of high-temperature superconductivity
journal, January 2006

  • Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang
  • Reviews of Modern Physics, Vol. 78, Issue 1
  • DOI: 10.1103/RevModPhys.78.17

Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering
journal, September 2009

  • Guinea, F.; Katsnelson, M. I.; Geim, A. K.
  • Nature Physics, Vol. 6, Issue 1
  • DOI: 10.1038/nphys1420

Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene
journal, September 2018


Topology of the Fermi surface beyond the quantum critical point
journal, August 2008


Pairing and superconductivity in the flat band: Creutz lattice
journal, October 2018


A common thread: The pairing interaction for unconventional superconductors
journal, October 2012


Systematic Study of d -Wave Superconductivity in the 2D Repulsive Hubbard Model
journal, November 2005