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Metallicity in the Dissipative Hubbard-Holstein Model: Markovian and Non-Markovian Tensor-Network Methods for Open Quantum Many-Body Systems
Moroder, Mattia; Grundner, Martin; Damanet, François et al.
2022
 

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Keywords :
Physics - Strongly Correlated Electrons; Physics - Superconductivity; Quantum Physics
Abstract :
[en] The Hubbard-Holstein Hamiltonian describes a prototypical model to study the transport properties of a large class of materials characterized by strong electron-phonon coupling. Even in the one-dimensional case, simulating the quantum dynamics of such a system with high accuracy is very challenging due to the infinite-dimensionality of the phononic Hilbert spaces. The difficulties tend to become even more severe when considering the incoherent coupling of the phonon-system to a practically inevitable environment. For this reason, the effects of dissipation on the metallicity of such systems have not been investigated systematically so far. In this article, we close this gap by combining the non-Markovian hierarchy of pure states method and the Markovian quantum jumps method with the newly introduced projected purified density-matrix renormalization group, creating powerful tensor network methods for dissipative quantum many-body systems. Investigating their numerical properties, we find a significant speedup up to a factor $\sim 30$ compared to conventional tensor-network techniques. We apply these methods to study quenches of the Hubbard-Holstein model, aiming for an in-depth understanding of the formation, stability, and quasi-particle properties of bipolarons. Our results show that in the metallic phase, dissipation localizes the bipolarons. However, the bipolaronic binding energy remains mainly unaffected, even in the presence of strong dissipation, exhibiting remarkable bipolaron stability. These findings shed new light on the problem of designing real materials exhibiting phonon-mediated high-$T_\mathrm{C}$ superconductivity.
Disciplines :
Physics
Author, co-author :
Moroder, Mattia
Grundner, Martin
Damanet, François  ;  Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM)
Schollwöck, Ulrich
Mardazad, Sam
Flannigan, Stuart
Köhler, Thomas
Paeckel, Sebastian
Language :
English
Title :
Metallicity in the Dissipative Hubbard-Holstein Model: Markovian and Non-Markovian Tensor-Network Methods for Open Quantum Many-Body Systems
Publication date :
17 July 2022
Commentary :
Feedback very welcome
Available on ORBi :
since 10 October 2022

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