Charge-density-wave melting in the one-dimensional Holstein model
Abstract
We study the Holstein model of spinless fermions, which at half filling exhibits a quantum phase transition from a metallic Tomonaga-Luttinger liquid phase to an insulating charge-density-wave (CDW) phase at a critical electron-phonon coupling strength. In our work, we focus on the real-time evolution starting from two different types of initial states that are CDW ordered: (i) ideal CDW states with and without additional phonons in the system and (ii) correlated ground states in the CDW phase. We identify the mechanism for CDW melting in the ensuing real-time dynamics and show that it strongly depends on the type of initial state. We focus on the far-from-equilibrium regime and emphasize the role of electron-phonon coupling rather than dominant electronic correlations, thus complementing a previous study of photoinduced CDW melting [H. Hashimoto and S. Ishihara, Phys. Rev. B 96, 035154 (2017)]. The numerical simulations are performed by means of matrix-product-state based methods with a local basis optimization (LBO). Within these techniques, one rotates the local (bosonic) Hilbert spaces adaptively into an optimized basis that can then be truncated while still maintaining a high precision. In this work, we extend the time-evolving block decimation (TEBD) algorithm with LBO, previously applied to single-polaron dynamics,more »
- Authors:
-
[2];
[2];
[1]
- Gottingen Univ. (Germany)
- Wroclaw Univ.of Science and Technology (Poland)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1606683
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 3; 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
Citation Formats
Stolpp, Jan, Herbrych, Jacek, Dorfner, Florian, Dagotto, Elbio R., and Heidrich-Meisner, Fabian. Charge-density-wave melting in the one-dimensional Holstein model. United States: N. p., 2020.
Web. doi:10.1103/PhysRevB.101.035134.
Stolpp, Jan, Herbrych, Jacek, Dorfner, Florian, Dagotto, Elbio R., & Heidrich-Meisner, Fabian. Charge-density-wave melting in the one-dimensional Holstein model. United States. https://doi.org/10.1103/PhysRevB.101.035134
Stolpp, Jan, Herbrych, Jacek, Dorfner, Florian, Dagotto, Elbio R., and Heidrich-Meisner, Fabian. Fri .
"Charge-density-wave melting in the one-dimensional Holstein model". United States. https://doi.org/10.1103/PhysRevB.101.035134. https://www.osti.gov/servlets/purl/1606683.
@article{osti_1606683,
title = {Charge-density-wave melting in the one-dimensional Holstein model},
author = {Stolpp, Jan and Herbrych, Jacek and Dorfner, Florian and Dagotto, Elbio R. and Heidrich-Meisner, Fabian},
abstractNote = {We study the Holstein model of spinless fermions, which at half filling exhibits a quantum phase transition from a metallic Tomonaga-Luttinger liquid phase to an insulating charge-density-wave (CDW) phase at a critical electron-phonon coupling strength. In our work, we focus on the real-time evolution starting from two different types of initial states that are CDW ordered: (i) ideal CDW states with and without additional phonons in the system and (ii) correlated ground states in the CDW phase. We identify the mechanism for CDW melting in the ensuing real-time dynamics and show that it strongly depends on the type of initial state. We focus on the far-from-equilibrium regime and emphasize the role of electron-phonon coupling rather than dominant electronic correlations, thus complementing a previous study of photoinduced CDW melting [H. Hashimoto and S. Ishihara, Phys. Rev. B 96, 035154 (2017)]. The numerical simulations are performed by means of matrix-product-state based methods with a local basis optimization (LBO). Within these techniques, one rotates the local (bosonic) Hilbert spaces adaptively into an optimized basis that can then be truncated while still maintaining a high precision. In this work, we extend the time-evolving block decimation (TEBD) algorithm with LBO, previously applied to single-polaron dynamics, to a half-filled system. We demonstrate that in some parameter regimes, a conventional TEBD method without LBO would fail. Furthermore, we introduce and use a ground-state density-matrix renormalization group method for electron-phonon systems using local basis optimization. In our examples, we account for up to Mph=40 bare phonons per site by working with O(10) optimal phonon modes.},
doi = {10.1103/PhysRevB.101.035134},
journal = {Physical Review B},
number = 3,
volume = 101,
place = {United States},
year = {Fri Jan 17 00:00:00 EST 2020},
month = {Fri Jan 17 00:00:00 EST 2020}
}
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Matrix-product-state method with a dynamical local basis optimization for bosonic systems out of equilibrium
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Anatomy of quantum critical wave functions in dissipative impurity problems
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Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model
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Transient superconductivity from electronic squeezing of optically pumped phonons
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Dynamics of photo-doped charge transfer insulators
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Multi-set matrix product state calculations reveal mobile Franck-Condon excitations under strong Holstein-type coupling
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Large scale numerical investigation of excited states in poly(phenylene)
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Quantum Monte Carlo and variational approaches to the Holstein model
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Phonon softening and dispersion in the 1D Holstein model of spinless fermions
text, January 2005
- Creffield, C. E.; Sangiovanni, G.; Capone, M.
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Density Matrix Approach to Local Hilbert Space Reduction
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Phase diagram of the one-dimensional Holstein model of spinless fermions
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Peierls instability and optical response in the one--dimensional half--filled Holstein model of spinless fermions
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- Weiße, A.; Fehske, H.
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Dynamical properties of the one-dimensional Holstein model
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Numerical analysis of the dissipative two-state system with the density-matrix Hilbert-space-reduction algorithm
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