Mott correlated states in the underdoped two-dimensional Hubbard model: Variational Monte Carlo versus a dynamical cluster approximation

Luca F. Tocchio, Hunpyo Lee, Harald Olaf Jeschke, Roser Valentí, Claudius Gros

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We investigate the properties of the frustrated underdoped Hubbard model on the square lattice using two complementary approaches, i.e., the dynamical cluster extension of the dynamical mean-field theory and the variational Monte Carlo simulations of Gutzwiller-Jastrow wave functions with backflow corrections. We compare and discuss data for the energy and the double occupancies, as obtained from both approaches. At small dopings, we observe a rapid crossover from a weakly correlated metal at low interaction strength U to a non-Fermi-liquid correlated state with strong local spin correlations. Furthermore, we investigate the stability of the correlated state against phase separation. We observe phase separation only for large values of U or very large frustration. No phase separation is present for the parameter range relevant for the cuprates.

Original languageEnglish
Article number045111
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume87
Issue number4
DOIs
Publication statusPublished - Jan 11 2013
Externally publishedYes

Fingerprint

Hubbard model
two dimensional models
Phase separation
approximation
Mean field theory
frustration
Wave functions
cuprates
crossovers
Metals
Doping (additives)
wave functions
Liquids
liquids
metals
simulation
interactions
energy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Mott correlated states in the underdoped two-dimensional Hubbard model : Variational Monte Carlo versus a dynamical cluster approximation. / Tocchio, Luca F.; Lee, Hunpyo; Jeschke, Harald Olaf; Valentí, Roser; Gros, Claudius.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 87, No. 4, 045111, 11.01.2013.

Research output: Contribution to journalArticle

@article{8bcf1b0384f44edb92ba55cf9ed03124,
title = "Mott correlated states in the underdoped two-dimensional Hubbard model: Variational Monte Carlo versus a dynamical cluster approximation",
abstract = "We investigate the properties of the frustrated underdoped Hubbard model on the square lattice using two complementary approaches, i.e., the dynamical cluster extension of the dynamical mean-field theory and the variational Monte Carlo simulations of Gutzwiller-Jastrow wave functions with backflow corrections. We compare and discuss data for the energy and the double occupancies, as obtained from both approaches. At small dopings, we observe a rapid crossover from a weakly correlated metal at low interaction strength U to a non-Fermi-liquid correlated state with strong local spin correlations. Furthermore, we investigate the stability of the correlated state against phase separation. We observe phase separation only for large values of U or very large frustration. No phase separation is present for the parameter range relevant for the cuprates.",
author = "Tocchio, {Luca F.} and Hunpyo Lee and Jeschke, {Harald Olaf} and Roser Valent{\'i} and Claudius Gros",
year = "2013",
month = "1",
day = "11",
doi = "10.1103/PhysRevB.87.045111",
language = "English",
volume = "87",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "4",

}

TY - JOUR

T1 - Mott correlated states in the underdoped two-dimensional Hubbard model

T2 - Variational Monte Carlo versus a dynamical cluster approximation

AU - Tocchio, Luca F.

AU - Lee, Hunpyo

AU - Jeschke, Harald Olaf

AU - Valentí, Roser

AU - Gros, Claudius

PY - 2013/1/11

Y1 - 2013/1/11

N2 - We investigate the properties of the frustrated underdoped Hubbard model on the square lattice using two complementary approaches, i.e., the dynamical cluster extension of the dynamical mean-field theory and the variational Monte Carlo simulations of Gutzwiller-Jastrow wave functions with backflow corrections. We compare and discuss data for the energy and the double occupancies, as obtained from both approaches. At small dopings, we observe a rapid crossover from a weakly correlated metal at low interaction strength U to a non-Fermi-liquid correlated state with strong local spin correlations. Furthermore, we investigate the stability of the correlated state against phase separation. We observe phase separation only for large values of U or very large frustration. No phase separation is present for the parameter range relevant for the cuprates.

AB - We investigate the properties of the frustrated underdoped Hubbard model on the square lattice using two complementary approaches, i.e., the dynamical cluster extension of the dynamical mean-field theory and the variational Monte Carlo simulations of Gutzwiller-Jastrow wave functions with backflow corrections. We compare and discuss data for the energy and the double occupancies, as obtained from both approaches. At small dopings, we observe a rapid crossover from a weakly correlated metal at low interaction strength U to a non-Fermi-liquid correlated state with strong local spin correlations. Furthermore, we investigate the stability of the correlated state against phase separation. We observe phase separation only for large values of U or very large frustration. No phase separation is present for the parameter range relevant for the cuprates.

UR - http://www.scopus.com/inward/record.url?scp=84872955991&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872955991&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.87.045111

DO - 10.1103/PhysRevB.87.045111

M3 - Article

AN - SCOPUS:84872955991

VL - 87

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 4

M1 - 045111

ER -