Competition between phase separation and spin density wave or charge density wave order: Role of long-range interactions
Abstract
We report that recent studies of pairing and charge order in materials such as FeSe, SrTiO3, and 2H-NbSe2 have suggested that momentum dependence of the electron-phonon coupling plays an important role in their properties. Initial attempts to study Hamiltonians which either do not include or else truncate the range of Coulomb repulsion have noted that the resulting spatial nonlocality of the electron-phonon interaction leads to a dominant tendency to phase separation. Here we present quantum Monte Carlo results for such models in which we incorporate both on-site and intersite electron-electron interactions. We show that these can stabilize phases in which the density is homogeneous and determine the associated phase boundaries. As a consequence, the physics of momentum dependent electron-phonon coupling can be determined outside of the trivial phase separated regime.
- Authors:
-
- Univ. of California, Davis, CA (United States)
- Université Côte d'Azur, Nice (France). Centre National de la Recherche Scientifique, INPHYNI
- Université Côte d'Azur, Nice (France). Centre National de la Recherche Scientifique, INPHYNI; MajuLab (Singapore). Centre National de la Recherche Scientifique–UCA-SU-NUS-NTU International Joint Research Unit; National Univ. of Singapore (Singapore); Beijing Computational Science Research Center (China)
- Publication Date:
- Research Org.:
- Univ. of California, Davis, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Research Agency
- OSTI Identifier:
- 1597046
- Alternate Identifier(s):
- OSTI ID: 1515597
- Grant/Contract Number:
- SC0014671; ANR-15-IDEX-01
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; 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; Antiferromagnetism; Change order; Dynamics of phase separation; Phase diagrams; Phase transitions by order; Peierls transition; Lattice models in condensed matter; Quantum Monte Carlo
Citation Formats
Xiao, Bo, Hébert, F., Batrouni, G., and Scalettar, R. T. Competition between phase separation and spin density wave or charge density wave order: Role of long-range interactions. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.205145.
Xiao, Bo, Hébert, F., Batrouni, G., & Scalettar, R. T. Competition between phase separation and spin density wave or charge density wave order: Role of long-range interactions. United States. https://doi.org/10.1103/PhysRevB.99.205145
Xiao, Bo, Hébert, F., Batrouni, G., and Scalettar, R. T. Fri .
"Competition between phase separation and spin density wave or charge density wave order: Role of long-range interactions". United States. https://doi.org/10.1103/PhysRevB.99.205145. https://www.osti.gov/servlets/purl/1597046.
@article{osti_1597046,
title = {Competition between phase separation and spin density wave or charge density wave order: Role of long-range interactions},
author = {Xiao, Bo and Hébert, F. and Batrouni, G. and Scalettar, R. T.},
abstractNote = {We report that recent studies of pairing and charge order in materials such as FeSe, SrTiO3, and 2H-NbSe2 have suggested that momentum dependence of the electron-phonon coupling plays an important role in their properties. Initial attempts to study Hamiltonians which either do not include or else truncate the range of Coulomb repulsion have noted that the resulting spatial nonlocality of the electron-phonon interaction leads to a dominant tendency to phase separation. Here we present quantum Monte Carlo results for such models in which we incorporate both on-site and intersite electron-electron interactions. We show that these can stabilize phases in which the density is homogeneous and determine the associated phase boundaries. As a consequence, the physics of momentum dependent electron-phonon coupling can be determined outside of the trivial phase separated regime.},
doi = {10.1103/PhysRevB.99.205145},
journal = {Physical Review B},
number = 20,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}
Web of Science
Works referenced in this record:
Bond-order-wave phase and quantum phase transitions in the one-dimensional extended Hubbard model
journal, April 2002
- Sengupta, Pinaki; Sandvik, Anders W.; Campbell, David K.
- Physical Review B, Vol. 65, Issue 15
Metallicity in the half-filled Holstein-Hubbard model
journal, November 2008
- Fehske, H.; Hager, G.; Jeckelmann, E.
- EPL (Europhysics Letters), Vol. 84, Issue 5
Aspects of electron–phonon interactions with strong forward scattering in FeSe Thin Films on SrTiO 3 substrates
journal, April 2016
- Wang, Y.; Nakatsukasa, K.; Rademaker, L.
- Superconductor Science and Technology, Vol. 29, Issue 5
Continuous-Time Quantum Monte Carlo Study of Strong Coupling Superconductivity in Holstein–Hubbard Model
conference, June 2014
- Yamazaki, Satoshi; Hoshino, Shintaro; Kuramoto, Yoshio
- Proceedings of the International Conference on Strongly Correlated Electron Systems (SCES2013)
Intermediate Phase of the One Dimensional Half-Filled Hubbard-Holstein Model
journal, August 2005
- Clay, R. T.; Hardikar, R. P.
- Physical Review Letters, Vol. 95, Issue 9
Sign problem in the numerical simulation of many-electron systems
journal, May 1990
- Loh, E. Y.; Gubernatis, J. E.; Scalettar, R. T.
- Physical Review B, Vol. 41, Issue 13
One-dimensional Hubbard-Holstein model with finite-range electron-phonon coupling
journal, February 2019
- Hébert, F.; Xiao, Bo; Rousseau, V. G.
- Physical Review B, Vol. 99, Issue 7
The influence of quantum lattice fluctuations on the one-dimensional Peierls instability
journal, January 1989
- Bourbonnais, Claude; Caron, Laurent G.
- Journal de Physique, Vol. 50, Issue 18
Monte Carlo simulations of one-dimensional fermion systems
journal, November 1982
- Hirsch, J. E.; Sugar, R. L.; Scalapino, D. J.
- Physical Review B, Vol. 26, Issue 9
Phase Diagram of the One-Dimensional Extended Hubbard Model at Half Filling
journal, January 2002
- Tsuchiizu, M.; Furusaki, A.
- Physical Review Letters, Vol. 88, Issue 5
Quantum lattice dynamical effects on single-particle excitations in one-dimensional Mott and Peierls insulators
journal, April 2004
- Fehske, H.; Wellein, G.; Hager, G.
- Physical Review B, Vol. 69, Issue 16
Diagrammatic determinantal quantum Monte Carlo methods: Projective schemes and applications to the Hubbard-Holstein model
journal, July 2007
- Assaad, F. F.; Lang, T. C.
- Physical Review B, Vol. 76, Issue 3
Dominant superconducting fluctuations in the one-dimensional extended Holstein–extended Hubbard model
journal, January 2014
- Tam, Ka-Ming; Tsai, Shan-Wen; Campbell, David K.
- Physical Review B, Vol. 89, Issue 1
Competition Between Antiferromagnetic and Charge-Density-Wave Order in the Half-Filled Hubbard-Holstein Model
journal, December 2012
- Nowadnick, E. A.; Johnston, S.; Moritz, B.
- Physical Review Letters, Vol. 109, Issue 24
Stochastic Green function algorithm
journal, May 2008
- Rousseau, V. G.
- Physical Review E, Vol. 77, Issue 5
Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension
journal, September 2012
- Hohenadler, Martin; Assaad, Fakher F.; Fehske, Holger
- Physical Review Letters, Vol. 109, Issue 11
Study of supersolidity in the two-dimensional Hubbard–Holstein model
journal, September 2018
- Ghosh, Amrita; Kar, Satyaki; Yarlagadda, Sudhakar
- The European Physical Journal B, Vol. 91, Issue 9
Tricritical behavior in the extended Hubbard chains
journal, June 2000
- Nakamura, Masaaki
- Physical Review B, Vol. 61, Issue 24
Directly Characterizing the Relative Strength and Momentum Dependence of Electron-Phonon Coupling Using Resonant Inelastic X-Ray Scattering
journal, October 2016
- Devereaux, T. P.; Shvaika, A. M.; Wu, K.
- Physical Review X, Vol. 6, Issue 4
Phonon Dispersion and the Competition between Pairing and Charge Order
journal, May 2018
- Costa, N. C.; Blommel, T.; Chiu, W. -T.
- Physical Review Letters, Vol. 120, Issue 18
Quantum critical phenomena in one-dimensional Bose systems
journal, October 1990
- Batrouni, Ghassan; Scalettar, Richard; Zimanyi, Gergely
- Physical Review Letters, Vol. 65, Issue 14
Functional Renormalization Group Analysis of the Half-Filled One-Dimensional Extended Hubbard Model
journal, January 2006
- Tam, Ka-Ming; Tsai, Shan-Wen; Campbell, David K.
- Physical Review Letters, Vol. 96, Issue 3
Possibility of a metallic phase in the charge-density-wave–spin-density-wave crossover region in the one-dimensional Hubbard-Holstein model at half filling
journal, February 2003
- Takada, Yasutami; Chatterjee, Ashok
- Physical Review B, Vol. 67, Issue 8
Anharmonicity in One-Dimensional Electron–Phonon System
journal, July 2010
- Zhao, Jize; Ueda, Kazuo
- Journal of the Physical Society of Japan, Vol. 79, Issue 7
Nature of the Peierls- to Mott-insulator transition in 1D
journal, January 2003
- Fehske, H.; Kampf, A. P.; Sekania, M.
- The European Physical Journal B - Condensed Matter, Vol. 31, Issue 1
Retardation effects in the Holstein-Hubbard chain at half filling
journal, April 2007
- Tam, Ka-Ming; Tsai, S. -W.; Campbell, D. K.
- Physical Review B, Vol. 75, Issue 16
Bipolarons in the extended Holstein Hubbard model
journal, August 2001
- Bonča, J.; Trugman, S. A.
- Physical Review B, Vol. 64, Issue 9
Phase diagram of one-dimensional electron-phonon systems. II. The molecular-crystal model
journal, April 1983
- Hirsch, Jorge E.; Fradkin, Eduardo
- Physical Review B, Vol. 27, Issue 7
One-dimensional metals and charge density wave effects in these materials
journal, July 1979
- Berlinsky, A. J.
- Reports on Progress in Physics, Vol. 42, Issue 7
Two-dimensional Hubbard-Holstein model
journal, August 1995
- Berger, E.; Valášek, P.; von der Linden, W.
- Physical Review B, Vol. 52, Issue 7
Destruction of Peierls dimerization in the molecular-crystal model: Effects of quantum phonon fluctuations
journal, December 1995
- Wu, C. Q.; Huang, Q. F.; Sun, X.
- Physical Review B, Vol. 52, Issue 22
Phase diagram for the one-dimensional Hubbard-Holstein model: A density-matrix renormalization group study
journal, October 2007
- Tezuka, Masaki; Arita, Ryotaro; Aoki, Hideo
- Physical Review B, Vol. 76, Issue 15
Solution of the sign problem for the half-filled Hubbard-Holstein model
journal, November 2018
- Karakuzu, Seher; Seki, Kazuhiro; Sorella, Sandro
- Physical Review B, Vol. 98, Issue 20
Computational Complexity and Fundamental Limitations to Fermionic Quantum Monte Carlo Simulations
journal, May 2005
- Troyer, Matthias; Wiese, Uwe-Jens
- Physical Review Letters, Vol. 94, Issue 17
Metal-insulator transition in the one-dimensional Holstein model at half filling
journal, September 1999
- Jeckelmann, Eric; Zhang, Chunli; White, Steven R.
- Physical Review B, Vol. 60, Issue 11
Density-Matrix Renormalization Group Study of Pairing when Electron-Electron and Electron-Phonon Interactions Coexist: Effect of the Electronic Band Structure
journal, November 2005
- Tezuka, Masaki; Arita, Ryotaro; Aoki, Hideo
- Physical Review Letters, Vol. 95, Issue 22
Ground State Phases of the Half-Filled One-Dimensional Extended Hubbard Model
journal, June 2004
- Sandvik, Anders W.; Balents, Leon; Campbell, David K.
- Physical Review Letters, Vol. 92, Issue 23
Effect of electron-phonon interaction range on lattice polaron dynamics: A continuous-time quantum Monte Carlo study
journal, May 2005
- Spencer, P. E.; Samson, J. H.; Kornilovitch, P. E.
- Physical Review B, Vol. 71, Issue 18
Dimerization in a Half-Filled One-Dimensional Extended Hubbard Model
journal, June 2004
- Zhang, Y. Z.
- Physical Review Letters, Vol. 92, Issue 24
DMRG analysis of the SDW-CDW crossover region in the 1D half-filled Hubbard-Holstein model
journal, January 2010
- Ejima, S.; Fehske, H.
- Journal of Physics: Conference Series, Vol. 200, Issue 1
Unconventional superconductivity in the Hubbard-Holstein model
journal, February 1997
- Hotta, Takashi; Takada, Yasutami
- Physica B: Condensed Matter, Vol. 230-232
Superconductivity in the Half-Filled Hubbard-Holstein Model in the Antiadiabatic Region
journal, June 1996
- Takada, Yasutami
- Journal of the Physical Society of Japan, Vol. 65, Issue 6
Mechanism of CDW-SDW Transition in One Dimension
journal, October 1999
- Nakamura, Masaaki
- Journal of the Physical Society of Japan, Vol. 68, Issue 10
Existence of an Intermediate Metallic Phase at the SDW-CDW Crossover Region in the One-Dimensional Holstein-Hubbard Model at Half-Filling
journal, January 2010
- Chatterjee, Ashok
- Advances in Condensed Matter Physics, Vol. 2010
Determinant quantum Monte Carlo study of the two-dimensional single-band Hubbard-Holstein model
journal, June 2013
- Johnston, S.; Nowadnick, E. A.; Kung, Y. F.
- Physical Review B, Vol. 87, Issue 23
“Worm” algorithm in quantum Monte Carlo simulations
journal, February 1998
- Prokof'ev, N. V.; Svistunov, B. V.; Tupitsyn, I. S.
- Physics Letters A, Vol. 238, Issue 4-5
Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension
journal, June 1968
- Lieb, Elliott H.; Wu, F. Y.
- Physical Review Letters, Vol. 20, Issue 25
Phase diagram of the one-dimensional Hubbard-Holstein model at half and quarter filling
journal, June 2007
- Hardikar, R. P.; Clay, R. T.
- Physical Review B, Vol. 75, Issue 24
Two-cutoff renormalization and quantum versus classical aspects for the one-dimensional electron-phonon system
journal, April 1984
- Caron, Laurent G.; Bourbonnais, Claude
- Physical Review B, Vol. 29, Issue 8
Suppression of superconductivity in the Hubbard model by buckling and breathing phonons
journal, October 2012
- Macridin, Alexandru; Moritz, Brian; Jarrell, M.
- Journal of Physics: Condensed Matter, Vol. 24, Issue 47
Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model
journal, January 2004
- Tsuchiizu, M.; Furusaki, A.
- Physical Review B, Vol. 69, Issue 3
Bipolarons from long-range interactions: Singlet and triplet pairs in the screened Hubbard-Fröhlich model on the chain
journal, August 2009
- Hague, J. P.; Kornilovitch, P. E.
- Physical Review B, Vol. 80, Issue 5
Superconductivity, charge-density waves, antiferromagnetism, and phase separation in the Hubbard-Holstein model
journal, November 2017
- Karakuzu, Seher; Tocchio, Luca F.; Sorella, Sandro
- Physical Review B, Vol. 96, Issue 20
The Peierls instability at T=0-a dimensional regularisation approach in the 1/N expansion
journal, July 1987
- Schmeltzer, D.
- Journal of Physics C: Solid State Physics, Vol. 20, Issue 21
Extended Phonon Collapse and the Origin of the Charge-Density Wave in
journal, September 2011
- Weber, F.; Rosenkranz, S.; Castellan, J. -P.
- Physical Review Letters, Vol. 107, Issue 10
Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model
journal, November 2017
- Mendl, C. B.; Nowadnick, E. A.; Huang, E. W.
- Physical Review B, Vol. 96, Issue 20