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Title: Thermodynamics of the quantum critical point at finite doping in the two-dimensional Hubbard model studied via the dynamical cluster approximation

Abstract

We study the thermodynamics of the two-dimensional Hubbard model within the dynamical cluster approximation. We use continuous time quantum Monte Carlo as a cluster solver to avoid the systematic error which complicates the calculation of the entropy and potential energy (double occupancy). We find that at a critical filling, there is a pronounced peak in the entropy divided by temperature, S/T , and in the normalized double occupancy as a function of doping. At this filling, we find that specific heat divided by temperature, C/T , increases strongly with decreasing temperature and kinetic and potential energies vary like T2lnT . These are all characteristics of quantum critical behavior.

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF), Oak Ridge, TN (United States); UT-Battelle LLC/ORNL, Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1564708
DOE Contract Number:  
AC05-00OR22725
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 80; Journal Issue: 14; Journal ID: ISSN 1098-0121
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
Materials Science; Physics

Citation Formats

Mikelsons, K., Khatami, E., Galanakis, D., Macridin, A., Moreno, J., and Jarrell, M. Thermodynamics of the quantum critical point at finite doping in the two-dimensional Hubbard model studied via the dynamical cluster approximation. United States: N. p., 2009. Web. doi:10.1103/physrevb.80.140505.
Mikelsons, K., Khatami, E., Galanakis, D., Macridin, A., Moreno, J., & Jarrell, M. Thermodynamics of the quantum critical point at finite doping in the two-dimensional Hubbard model studied via the dynamical cluster approximation. United States. https://doi.org/10.1103/physrevb.80.140505
Mikelsons, K., Khatami, E., Galanakis, D., Macridin, A., Moreno, J., and Jarrell, M. Thu . "Thermodynamics of the quantum critical point at finite doping in the two-dimensional Hubbard model studied via the dynamical cluster approximation". United States. https://doi.org/10.1103/physrevb.80.140505.
@article{osti_1564708,
title = {Thermodynamics of the quantum critical point at finite doping in the two-dimensional Hubbard model studied via the dynamical cluster approximation},
author = {Mikelsons, K. and Khatami, E. and Galanakis, D. and Macridin, A. and Moreno, J. and Jarrell, M.},
abstractNote = {We study the thermodynamics of the two-dimensional Hubbard model within the dynamical cluster approximation. We use continuous time quantum Monte Carlo as a cluster solver to avoid the systematic error which complicates the calculation of the entropy and potential energy (double occupancy). We find that at a critical filling, there is a pronounced peak in the entropy divided by temperature, S/T , and in the normalized double occupancy as a function of doping. At this filling, we find that specific heat divided by temperature, C/T , increases strongly with decreasing temperature and kinetic and potential energies vary like T2lnT . These are all characteristics of quantum critical behavior.},
doi = {10.1103/physrevb.80.140505},
url = {https://www.osti.gov/biblio/1564708}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 14,
volume = 80,
place = {United States},
year = {2009},
month = {10}
}

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