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Title: Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model

Abstract

The properties of a phase with large correlation length can be strongly influenced by the underlying normal phase. Here, we illustrate this by studying the half-filled two-dimensional Hubbard model using cellular dynamical mean-field theory with continuous-time quantum Monte Carlo. Sharp crossovers in the mechanism that favors antiferromagnetic correlations and in the corresponding local density of states are observed. We found that these crossovers occur at values of the interaction strength U and temperature T that are controlled by the underlying normal-state Mott transition.

Authors:
 [1];  [2];  [3];  [1];  [4]
  1. Univ. of London (United Kingdom). Dept. of Physics
  2. Univ. of Sherbrooke, QC (Canada). Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). Computational Science Initiative
  3. Univ. of Sherbrooke, QC (Canada). Dept. of Physics
  4. Univ. of Sherbrooke, QC (Canada). Dept. of Physics; Canadian Inst. for Advanced Research, Toronto, ON (Canada)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (SC-21)
OSTI Identifier:
1392250
Report Number(s):
BNL-114279-2017-JA
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1702830
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 23; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Fratino, L., Sémon, P., Charlebois, M., Sordi, G., and Tremblay, A. -M. S. Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.235109.
Fratino, L., Sémon, P., Charlebois, M., Sordi, G., & Tremblay, A. -M. S. Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model. United States. doi:10.1103/PhysRevB.95.235109.
Fratino, L., Sémon, P., Charlebois, M., Sordi, G., and Tremblay, A. -M. S. Tue . "Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model". United States. doi:10.1103/PhysRevB.95.235109. https://www.osti.gov/servlets/purl/1392250.
@article{osti_1392250,
title = {Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model},
author = {Fratino, L. and Sémon, P. and Charlebois, M. and Sordi, G. and Tremblay, A. -M. S.},
abstractNote = {The properties of a phase with large correlation length can be strongly influenced by the underlying normal phase. Here, we illustrate this by studying the half-filled two-dimensional Hubbard model using cellular dynamical mean-field theory with continuous-time quantum Monte Carlo. Sharp crossovers in the mechanism that favors antiferromagnetic correlations and in the corresponding local density of states are observed. We found that these crossovers occur at values of the interaction strength U and temperature T that are controlled by the underlying normal-state Mott transition.},
doi = {10.1103/PhysRevB.95.235109},
journal = {Physical Review B},
number = 23,
volume = 95,
place = {United States},
year = {2017},
month = {6}
}

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Cited by: 14 works
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Works referenced in this record:

Quantitative test of a microscopic mechanism of high-temperature superconductivity
journal, December 1998

  • Demler, Eugene; Zhang, Shou-Cheng
  • Nature, Vol. 396, Issue 6713
  • DOI: 10.1038/25482

Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, November 1966


Many-body physics with ultracold gases
journal, July 2008

  • Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
  • Reviews of Modern Physics, Vol. 80, Issue 3
  • DOI: 10.1103/RevModPhys.80.885

Relation between the Widom line and the dynamic crossover in systems with a liquid-liquid phase transition
journal, November 2005

  • Xu, L.; Kumar, P.; Buldyrev, S. V.
  • Proceedings of the National Academy of Sciences, Vol. 102, Issue 46
  • DOI: 10.1073/pnas.0507870102

c -axis resistivity, pseudogap, superconductivity, and Widom line in doped Mott insulators
journal, January 2013


Unconventional critical behaviour in a quasi-two-dimensional organic conductor
journal, July 2005


Antiferromagnetism and the gap of a Mott insulator: Results from analytic continuation of the self-energy
journal, July 2009


Signature of antiferromagnetic long-range order in the optical spectrum of strongly correlated electron systems
journal, February 2012


Quantum cluster theories
journal, October 2005


Numerical study of the two-dimensional Hubbard model
journal, July 1989


A "midinfrared" scenario for cuprate superconductivity
journal, July 1999


Antiferromagnetism. Theory of Superexchange Interaction
journal, July 1950


Continuous-time Monte Carlo methods for quantum impurity models
journal, May 2011

  • Gull, Emanuel; Millis, Andrew J.; Lichtenstein, Alexander I.
  • Reviews of Modern Physics, Vol. 83, Issue 2
  • DOI: 10.1103/RevModPhys.83.349

Mott Transition and Transport Crossovers in the Organic Compound κ ( B E D T T T F ) 2 C u [ N ( C N ) 2 ] C l
journal, July 2003


Quasiparticle Dispersion of the 2D Hubbard Model: From an Insulator to a Metal
journal, August 1995


Direct Probing of the Mott Crossover in the SU ( N ) Fermi-Hubbard Model
journal, June 2016


Ergodicity of the hybridization-expansion Monte Carlo algorithm for broken-symmetry states
journal, April 2014


Pseudogap temperature as a Widom line in doped Mott insulators
journal, July 2012

  • Sordi, G.; Sémon, P.; Haule, K.
  • Scientific Reports, Vol. 2, Issue 1
  • DOI: 10.1038/srep00547

Non-Perturbative Many-Body Approach to the Hubbard Model and Single-Particle Pseudogap
journal, November 1997

  • Vilk, Y. M.; Tremblay, A. -M. S.
  • Journal de Physique I, Vol. 7, Issue 11
  • DOI: 10.1051/jp1:1997135

BCS-BEC crossover at T = 0 : A dynamical mean-field theory approach
journal, July 2005


Two-dimensional Hubbard model: Numerical simulation study
journal, April 1985


Difference between Normal and Superconducting States of a Metal
journal, September 1956


Electronic structure calculations with dynamical mean-field theory
journal, August 2006


An organizing principle for two-dimensional strongly correlated superconductivity
journal, March 2016

  • Fratino, L.; Sémon, P.; Sordi, G.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep22715

Mott physics and spin fluctuations: A functional viewpoint
journal, June 2016


Quasiparticle dispersion of the t - J and Hubbard models
journal, May 1995


Universality and Critical Behavior at the Mott Transition
journal, October 2003


Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
journal, December 2008


Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
journal, February 2015

  • Hart, Russell A.; Duarte, Pedro M.; Yang, Tsung-Lin
  • Nature, Vol. 519, Issue 7542
  • DOI: 10.1038/nature14223

Algorithms for optimized maximum entropy and diagnostic tools for analytic continuation
journal, August 2016


Mott physics and spin fluctuations: A unified framework
journal, September 2015


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


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

Kinetic energy change with doping upon superfluid condensation in high-temperature superconductors
journal, September 2005

  • Deutscher, Guy; Santander-Syro, Andrés Felipe; Bontemps, Nicole
  • Physical Review B, Vol. 72, Issue 9
  • DOI: 10.1103/PhysRevB.72.092504

Physical properties of the half-filled Hubbard model in infinite dimensions
journal, September 1993


Fermi-Hubbard Physics with Atoms in an Optical Lattice
journal, August 2010


Antiferromagnetism and d -wave superconductivity in cuprates: A cluster dynamical mean-field theory
journal, October 2000


Kinetic Energy Driven Pairing in Cuprate Superconductors
journal, January 2004


Mott Transition, Antiferromagnetism, and Unconventional Superconductivity in Layered Organic Superconductors
journal, December 2000


Fermions in 2D Optical Lattices: Temperature and Entropy Scales for Observing Antiferromagnetism and Superfluidity
journal, February 2010


Existence of Long-Range Order in One and Two Dimensions
journal, June 1967


Equation of State of the Two-Dimensional Hubbard Model
journal, April 2016


Fate of the false Mott-Hubbard transition in two dimensions
journal, March 2015


Energetic balance of the superconducting transition across the BCS—Bose Einstein crossover in the attractive Hubbard model
journal, December 2005


Short-Range Quantum Magnetism of Ultracold Fermions in an Optical Lattice
journal, May 2013


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

Metal-insulator transitions
journal, October 1998

  • Imada, Masatoshi; Fujimori, Atsushi; Tokura, Yoshinori
  • Reviews of Modern Physics, Vol. 70, Issue 4, p. 1039-1263
  • DOI: 10.1103/RevModPhys.70.1039

The Disorder-Free Non-BCS Superconductor Cs3C60 Emerges from an Antiferromagnetic Insulator Parent State
journal, March 2009


From quantum matter to high-temperature superconductivity in copper oxides
journal, February 2015

  • Keimer, B.; Kivelson, S. A.; Norman, M. R.
  • Nature, Vol. 518, Issue 7538
  • DOI: 10.1038/nature14165

Superconductivity-Induced Transfer of In-Plane Spectral Weight in Bi2Sr2CaCu2O8+delta
journal, March 2002


Observation of spatial charge and spin correlations in the 2D Fermi-Hubbard model
journal, September 2016


Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards a quantitative theory (Review Article)
journal, April 2006

  • Tremblay, A. -M. S.; Kyung, B.; Sénéchal, D.
  • Low Temperature Physics, Vol. 32, Issue 4
  • DOI: 10.1063/1.2199446

Interaction-Induced Adiabatic Cooling and Antiferromagnetism of Cold Fermions in Optical Lattices
journal, July 2005


Signatures of spin and charge energy scales in the local moment and specific heat of the half-filled two-dimensional Hubbard model
journal, March 2001


Metal-Insulator Transitions in Pure and Doped V 2 O 3
journal, March 1973


Where is 99% of the condensation energy of Tl2Ba2CuOy coming from?
journal, April 2000


Pseudogap induced by short-range spin correlations in a doped Mott insulator
journal, April 2006


Breakdown of Hooke’s law of elasticity at the Mott critical endpoint in an organic conductor
journal, December 2016


Hidden Mott transition and large- U superconductivity in the two-dimensional Hubbard model
journal, November 2016


Cluster Dynamical Mean Field Theory of the Mott Transition
journal, October 2008


Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
journal, January 1996

  • Georges, Antoine; Kotliar, Gabriel; Krauth, Werner
  • Reviews of Modern Physics, Vol. 68, Issue 1
  • DOI: 10.1103/RevModPhys.68.13

Doping dependence of the redistribution of optical spectral weight in Bi 2 Sr 2 CaCu 2 O 8 + δ
journal, August 2006


Condensation energy and spectral functions in high-temperature superconductors
journal, June 2000


Reply to “Comment on ‘Cluster methods for strongly correlated electron systems’ ”
journal, January 2005


Double occupancy in dynamical mean-field theory and the dual boson approach
journal, April 2016

  • van Loon, Erik G. C. P.; Krien, Friedrich; Hafermann, Hartmut
  • Physical Review B, Vol. 93, Issue 15
  • DOI: 10.1103/PhysRevB.93.155162

Superconducting condensation energy and an antiferromagnetic exchange-based pairing mechanism
journal, October 1998


Spin- and density-resolved microscopy of antiferromagnetic correlations in Fermi-Hubbard chains
journal, September 2016


Site-resolved measurement of the spin-correlation function in the Fermi-Hubbard model
journal, September 2016


A Mott insulator of fermionic atoms in an optical lattice
journal, September 2008

  • Jördens, Robert; Strohmaier, Niels; Günter, Kenneth
  • Nature, Vol. 455, Issue 7210
  • DOI: 10.1038/nature07244

NMR Study of the Mott Transitions to Superconductivity in the Two Cs 3 C 60 Phases
journal, June 2010


Energetics of superconductivity in the two-dimensional Hubbard model
journal, December 2012


Importance of subleading corrections for the Mott critical point
journal, May 2012


    Works referencing / citing this record: