Collective charge excitations and the metal-insulator transition in the square lattice Hubbard-Coulomb model
Abstract
Here in this article, we discuss the nontrivial collective charge excitations (plasmons) of the extended square lattice Hubbard model. Using a fully nonperturbative approach, we employ the hybrid Monte Carlo algorithm to simulate the system at half-filling. A modified Backus-Gilbert method is introduced to obtain the spectral functions via numerical analytic continuation. We directly compute the single-particle density of states which demonstrates the formation of Hubbard bands in the strongly correlated phase. The momentum-resolved charge susceptibility also is computed on the basis of the Euclidean charge-density-density correlator. In agreement with previous extended dynamical mean-field theory studies, we find that, at high strength of the electron-electron interaction, the plasmon dispersion develops two branches.
- Authors:
-
- Univ. of Regensburg (Germany). Inst. for Theorectical Physics
- Univ. of Kent, Canterbury (United Kingdom). School of Physical Sciences
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1418744
- Alternate Identifier(s):
- OSTI ID: 1408174
- Report Number(s):
- JLAB-THY-17-2635; DOE/OR/-23177-4342; arXiv:1707.04212
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1801292
- Grant/Contract Number:
- BU 2626/2-1; PHY-1516509; AC05-06OR23177
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 20; 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; Band gap; Density of states; Plasmons; Quantum phase transitions
Citation Formats
Ulybyshev, Maksim, Winterowd, Christopher, and Zafeiropoulos, Savvas. Collective charge excitations and the metal-insulator transition in the square lattice Hubbard-Coulomb model. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.96.205115.
Ulybyshev, Maksim, Winterowd, Christopher, & Zafeiropoulos, Savvas. Collective charge excitations and the metal-insulator transition in the square lattice Hubbard-Coulomb model. United States. https://doi.org/10.1103/PhysRevB.96.205115
Ulybyshev, Maksim, Winterowd, Christopher, and Zafeiropoulos, Savvas. Thu .
"Collective charge excitations and the metal-insulator transition in the square lattice Hubbard-Coulomb model". United States. https://doi.org/10.1103/PhysRevB.96.205115. https://www.osti.gov/servlets/purl/1418744.
@article{osti_1418744,
title = {Collective charge excitations and the metal-insulator transition in the square lattice Hubbard-Coulomb model},
author = {Ulybyshev, Maksim and Winterowd, Christopher and Zafeiropoulos, Savvas},
abstractNote = {Here in this article, we discuss the nontrivial collective charge excitations (plasmons) of the extended square lattice Hubbard model. Using a fully nonperturbative approach, we employ the hybrid Monte Carlo algorithm to simulate the system at half-filling. A modified Backus-Gilbert method is introduced to obtain the spectral functions via numerical analytic continuation. We directly compute the single-particle density of states which demonstrates the formation of Hubbard bands in the strongly correlated phase. The momentum-resolved charge susceptibility also is computed on the basis of the Euclidean charge-density-density correlator. In agreement with previous extended dynamical mean-field theory studies, we find that, at high strength of the electron-electron interaction, the plasmon dispersion develops two branches.},
doi = {10.1103/PhysRevB.96.205115},
journal = {Physical Review B},
number = 20,
volume = 96,
place = {United States},
year = {Thu Nov 09 00:00:00 EST 2017},
month = {Thu Nov 09 00:00:00 EST 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 13 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Spatial correlations in dynamical mean-field theory
journal, February 2000
- Smith, J. Lleweilun; Si, Qimiao
- Physical Review B, Vol. 61, Issue 8
Effective noise reduction techniques for disconnected loops in Lattice QCD
journal, September 2010
- Bali, Gunnar S.; Collins, Sara; Schäfer, Andreas
- Computer Physics Communications, Vol. 181, Issue 9
Many-body effects on graphene conductivity: Quantum Monte Carlo calculations
journal, August 2016
- Boyda, D. L.; Braguta, V. V.; Katsnelson, M. I.
- Physical Review B, Vol. 94, Issue 8
Deflation as a Method of Variance Reduction for Estimating the Trace of a Matrix Inverse
journal, January 2017
- Gambhir, Arjun Singh; Stathopoulos, Andreas; Orginos, Kostas
- SIAM Journal on Scientific Computing, Vol. 39, Issue 2
Effect of Long Range Coulomb Interactions on the Mott Transition
journal, April 2000
- Chitra, R.; Kotliar, G.
- Physical Review Letters, Vol. 84, Issue 16
Lattice field theory study of magnetic catalysis in graphene
journal, April 2017
- DeTar, Carleton; Winterowd, Christopher; Zafeiropoulos, Savvas
- Physical Review B, Vol. 95, Issue 16
Stochastic estimation with Z2 noise
journal, May 1994
- Dong, Shao-Jing; Liu, Keh-Fei
- Physics Letters B, Vol. 328, Issue 1-2
Fate of the false Mott-Hubbard transition in two dimensions
journal, March 2015
- Schäfer, T.; Geles, F.; Rost, D.
- Physical Review B, Vol. 91, Issue 12
Hybrid Stochastic Differential Equations Applied to Quantum Chromodynamics
journal, December 1985
- Duane, Simon; Kogut, John B.
- Physical Review Letters, Vol. 55, Issue 25
The Resolving Power of Gross Earth Data
journal, October 1968
- Backus, George; Gilbert, Freeman
- Geophysical Journal International, Vol. 16, Issue 2
Magnetic Catalysis in Graphene Effective Field Theory
journal, December 2016
- DeTar, Carleton; Winterowd, Christopher; Zafeiropoulos, Savvas
- Physical Review Letters, Vol. 117, Issue 26
Maximum entropy analysis of the spectral functions in lattice QCD
journal, January 2001
- Asakawa, M.
- Progress in Particle and Nuclear Physics, Vol. 46, Issue 2
Metal-insulator transitions
journal, October 1998
- Imada, Masatoshi; Fujimori, Atsushi; Tokura, Yoshinori
- Reviews of Modern Physics, Vol. 70, Issue 4, p. 1039-1263
Electron correlations in narrow energy bands III. An improved solution
journal, September 1964
- Hubbard, J.
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 281, Issue 1386, p. 401-419
Hadronic spectral functions in lattice QCD
journal, October 1999
- Nakahara, Y.; Asakawa, M.; Hatsuda, T.
- Physical Review D, Vol. 60, Issue 9
Lefschetz thimble Monte Carlo for many-body theories: A Hubbard model study
journal, July 2014
- Mukherjee, Abhishek; Cristoforetti, Marco
- Physical Review B, Vol. 90, Issue 3
The GW method
journal, March 1998
- Aryasetiawan, F.; Gunnarsson, O.
- Reports on Progress in Physics, Vol. 61, Issue 3
Monte Carlo Study of the Semimetal-Insulator Phase Transition in Monolayer Graphene with a Realistic Interelectron Interaction Potential
journal, July 2013
- Ulybyshev, M. V.; Buividovich, P. V.; Katsnelson, M. I.
- Physical Review Letters, Vol. 111, Issue 5
Monte Carlo study of the electron transport properties of monolayer graphene within the tight-binding model
journal, December 2012
- Buividovich, P. V.; Polikarpov, M. I.
- Physical Review B, Vol. 86, Issue 24
Monte Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions
journal, May 2014
- Smith, Dominik; von Smekal, Lorenz
- Physical Review B, Vol. 89, Issue 19
Matrix Structural Analysis of Substructures
journal, January 1963
- Przemieniecki, J. S.
- AIAA Journal, Vol. 1, Issue 1
Spectral Functions at Small Energies and the Electrical Conductivity in Hot Quenched Lattice QCD
journal, July 2007
- Aarts, Gert; Allton, Chris; Foley, Justin
- Physical Review Letters, Vol. 99, Issue 2
Transport properties of the quark-gluon plasma: A lattice QCD perspective
journal, July 2011
- Meyer, Harvey B.
- The European Physical Journal A, Vol. 47, Issue 7
Electron correlations in narrow energy bands
journal, November 1963
- Hubbard, J.
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 276, Issue 1365, p. 238-257
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
Applications of lattice QCD techniques for condensed matter systems
journal, August 2016
- Buividovich, P. V.; Ulybyshev, M. V.
- International Journal of Modern Physics A, Vol. 31, Issue 22
Plasmons in Strongly Correlated Systems: Spectral Weight Transfer and Renormalized Dispersion
journal, December 2014
- van Loon, E. G. C. P.; Hafermann, H.; Lichtenstein, A. I.
- Physical Review Letters, Vol. 113, Issue 24
Progress and perspectives on electron-doped cuprates
journal, September 2010
- Armitage, N. P.; Fournier, P.; Greene, R. L.
- Reviews of Modern Physics, Vol. 82, Issue 3
Momentum-dependent pseudogaps in the half-filled two-dimensional Hubbard model
journal, October 2012
- Rost, D.; Gorelik, E. V.; Assaad, F.
- Physical Review B, Vol. 86, Issue 15
Extended dynamical mean-field theory and method
journal, August 2002
- Sun, Ping; Kotliar, Gabriel
- Physical Review B, Vol. 66, Issue 8
Hydrodynamic equations and correlation functions
journal, October 1963
- Kadanoff, Leo P.; Martin, Paul C.
- Annals of Physics, Vol. 24
Works referencing / citing this record:
Hybrid-Monte-Carlo study of competing order in the extended fermionic Hubbard model on the hexagonal lattice
text, January 2018
- Buividovich, Pavel; Smith, Dominik; Ulybyshev, Maksim
- arXiv