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We study the thermal conductivity of the one-dimensional Fermi-Hubbard model at finite temperature using a density matrix renormalization group approach. The integrability of this model gives rise to ballistic thermal transport. We…

Strongly Correlated Electrons · Physics 2016-09-14 C. Karrasch , D. M. Kennes , F. Heidrich-Meisner

We use tools from integrability and generalized hydrodynamics to study finite-temperature dynamics in the one-dimensional Hubbard model. First, we examine charge, spin, and energy transport away from half-filling and zero magnetization,…

Statistical Mechanics · Physics 2020-09-17 Michele Fava , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur , S. A. Parameswaran

Using the Bethe ansatz method, the zero frequency contribution (Drude weight) to the spin current correlations is analyzed for the easy plane antiferromagnetic Heisenberg model. The Drude weight is a monotonically decreasing function of…

Condensed Matter · Physics 2009-10-31 X. Zotos

Finite-temperature Drude weight (spin stiffness) D(T) is evaluated within the anisotropic spin-1/2 Heisenberg model on a chain using the exact diagonalization for small systems. It is shown that odd-side chains allow for more reliable…

Strongly Correlated Electrons · Physics 2011-10-18 Jacek Herbrych , Peter Prelovšek , Xenophon Zotos

We propose an easily implemented approach to study time-dependent correlation functions of one dimensional systems at finite temperature T using the density matrix renormalization group. The entanglement growth inherent to any…

Strongly Correlated Electrons · Physics 2013-09-09 C. Karrasch , J. H. Bardarson , J. E. Moore

The Drude weight for the one-dimensional Hubbard model is investigated at finite temperatures by using the Bethe ansatz solution. Evaluating finite-size corrections to the thermodynamic Bethe ansatz equations, we obtain the formula for the…

Strongly Correlated Electrons · Physics 2009-10-30 Satoshi Fujimoto , Norio Kawakami

Integrable models such as the spin-1/2 Heisenberg chain, the Lieb-Liniger or the one-dimensional Hubbard model are known to avoid thermalization, which was also demonstrated in several quantum-quench experiments. Another dramatic…

Strongly Correlated Electrons · Physics 2017-02-28 C. Karrasch , T. Prosen , F. Heidrich-Meisner

The Drude weight for the spin transport of the spin-1/2 $XXZ$ Heisenberg chain in the critical regime is evaluated exactly for finite temperatures. We combine the thermodynamic Bethe ansatz with the functional relations of type $Y$-system…

Statistical Mechanics · Physics 2019-04-26 Andreas Klümper , Kazumitsu Sakai

A technique to determine accurately transport properties of integrable and non-integrable quantum-spin chains at finite temperatures by Quantum Monte-Carlo is presented. The reduction of the Drude weight by interactions in the integrable…

Condensed Matter · Physics 2009-11-07 J. V. Alvarez , Claudius Gros

We report a detailed analysis of the Drude weights for both thermal and spin transport in one dimensional spin-1/2 systems by means of exact diagonalization and analytic approaches at finite temperatures. Transport properties are studied…

Strongly Correlated Electrons · Physics 2020-03-31 F. Heidrich-Meisner , A. Honecker , D. C. Cabra , W. Brenig

We present exact results on the thermal conductivity of the one-dimensional spin-1/2 XXZ model in the massive antiferromagnetic and ferromagnetic regimes. The thermal Drude weight is calculated by a lattice path integral formulation.…

Statistical Mechanics · Physics 2008-11-26 Kazumitsu Sakai , Andreas Kluemper

It is shown that the Bethe ansatz formulation of the easy-plane 1D Heisenberg model thermodynamics (TBA) by Takahashi and Suzuki and the subsequent analysis of the spin Drude weight, also reproduces the thermal Drude weight and…

Statistical Mechanics · Physics 2017-10-25 X. Zotos

We present a study of the Drude weight $D(T)$ of the spin-1/2 $XXZ$ chain in the gapless regime. The thermodynamic Bethe ansatz (TBA) is applied in two different ways. In the first application we employ the particle basis of magnons and…

Strongly Correlated Electrons · Physics 2015-06-25 J. Benz , T. Fukui , A. Klümper , C. Scheeren

We present results for the zero and finite temperature Drude weight D(T) and for the Meissner fraction of the attractive and the repulsive Hubbard model, as well as for the model with next nearest neighbor repulsion. They are based on…

Strongly Correlated Electrons · Physics 2007-05-23 S. Kirchner , H. G. Evertz , W. Hanke

We study finite-temperature transport properties of the one-dimensional Hubbard model using the density matrix renormalization group. Our aim is two-fold: First, we compute both the charge and the spin current correlation function of the…

Strongly Correlated Electrons · Physics 2015-06-22 C. Karrasch , D. M. Kennes , J. E. Moore

We study thermal transport in one dimensional spin systems both in the presence and absence of impurities. In the absence of disorder, all these spin systems display a temperature dependent Drude peak in the thermal conductivity. In gapless…

Strongly Correlated Electrons · Physics 2007-05-23 E. Orignac , R. Chitra , R. Citro

We calculate the charge and spin Drude weight of the one-dimensional extended Hubbard model with on-site repulsion $U$ and nearest-neighbor repulsion $V$ at quarter filling using the density-matrix renormalization group method combined with…

Strongly Correlated Electrons · Physics 2015-05-13 T. Shirakawa , E. Jeckelmann

We analyze the Drude weight for both spin and thermal transport of one-dimensional spin-1/2 systems by means of exact diagonalization at finite temperatures. While the Drude weights are non-zero for finite systems, we find indications of a…

Strongly Correlated Electrons · Physics 2015-03-03 F. Heidrich-Meisner , A. Honecker , D. C. Cabra , W. Brenig

We outline a general formalism of hydrodynamics for quantum systems with multiple particle species which undergo completely elastic scattering. In the thermodynamic limit, the complete kinematic data of the problem consists of the particle…

Statistical Mechanics · Physics 2017-09-06 Enej Ilievski , Jacopo De Nardis

We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency…

Strongly Correlated Electrons · Physics 2021-09-10 Václav Janiš , Antonín Klíč , Jiawei Yan
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