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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

A many-electron conducting system undergoes free acceleration in response to a macroscopic field. The Drude weight $D$---also called charge stiffness---measures the adiabatic (inverse) inertia of the electrons; the $D$ formal expression…

Mesoscale and Nanoscale Physics · Physics 2020-11-23 Gabriele Bellomia , Raffaele Resta

We study the Drude weight $D(T)$ at finite temperatures $T$ of an integrable bosonic model where the particles interact via nearest-neighbour coupling on a chain. At low temperatures, $D(T)$ is shown to be universal in the sense that this…

Statistical Mechanics · Physics 2009-11-11 Michael Bortz

We continue to study frequency-dependent complex bulk viscosities of one-dimensional Bose and Fermi gases with contact interactions, which exhibit the weak-strong duality according to our recent work. Here we show that they are contributed…

Quantum Gases · Physics 2022-12-22 Yusuke Nishida

Flatband systems form a new class of materials that challenge the conventional wisdom of transport. The intrinsically strong electronic correlations combined with the vanishing kinetic energy scale suggest a sensitive dependence of…

Strongly Correlated Electrons · Physics 2025-02-03 Ohad Antebi , Johannes Mitscherling , Tobias Holder

Using conformal perturbation theory, we show that for some classes of the one-dimensional quantum liquids that possess the Luttinger liquid fixed point in the low energy limit, the Drude weight at finite temperatures is non-vanishing, even…

Strongly Correlated Electrons · Physics 2009-11-10 Satoshi Fujimoto , Norio Kawakami

The Drude weight $D$ and the dc-conductivity $\sigma_{dc} (T)$ of strongly correlated electrons are investigated theoretically. Analytic results are derived for the homogeneous phase of the Hubbard model in $d = \infty$ dimensions, and for…

Condensed Matter · Physics 2009-10-28 G. Uhrig , D. Vollhardt

We compute the Drude weight and the critical exponents as functions of the density in non-integrable generalizations of XXZ or Hubbard chains, in the critical zero temperature regime where Luttinger liquid description breaks down and Bethe…

Statistical Mechanics · Physics 2019-03-27 Federico Bonetto , Vieri Mastropietro

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 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 apply well established finite temperature Quantum Monte Carlo techniques to one dimensional Bose systems with soft and hardcore constraint, as well as to spinless fermion systems. We give clear and robust numerical evidence that, as…

Strongly Correlated Electrons · Physics 2009-11-13 Dariush Heidarian , Sandro Sorella

Using generalized hydrodynamics (GHD), we exactly evaluate the finite-temperature spin Drude weight at zero magnetic field for the integrable XXZ chain with arbitrary spin and easy-plane anisotropy. First, we construct the fusion hierarchy…

Statistical Mechanics · Physics 2024-03-21 Shinya Ae , Kazumitsu Sakai

We calculate the finite temperature thermal conductivity of a time-reversal invariant chiral $\mathbb{Z}_3$ clock model along an integrable line in the parameter space using tDMRG. The thermal current itself is not a conserved charge,…

Statistical Mechanics · Physics 2026-03-26 Sandipan Manna , G J Sreejith

We calculate the Drude weight in the superfluid (SF) and the supersolid (SS) phases of hard core boson (HCB) model using stochastic series expansion (SSE). We demonstrate from our numerical calculations that the normal phase of HCBs in two…

Other Condensed Matter · Physics 2016-10-14 Gourab Majumder , Arti Garg

The spin-$1/2$ XXZ chain is an integrable lattice model and parts of its spin current can be protected by local conservation laws for anisotropies $-1<\Delta<1$. In this case, the Drude weight $D(T)$ is non-zero at finite temperatures $T$.…

Statistical Mechanics · Physics 2021-06-04 Andrew Urichuk , Jesko Sirker , Andreas Klümper

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

The temperature dependence of the in-plane optical conductivity has been determined for Fe$_{1.03}$Te above and below the magnetic and structural transition at $T_N\simeq 68$ K. The electron and hole pockets are treated as two separate…

Strongly Correlated Electrons · Physics 2014-10-08 Y. M. Dai , A. Akrap , J. Schneeloch , R. D. Zhong , T. S. Liu , G. D. Gu , Q. Li , C. C. Homes

Integrable and non-integrable systems have very different transport properties. In this work, we highlight these differences for specific one dimensional models of interacting lattice fermions using numerical exact diagonalization. We…

Strongly Correlated Electrons · Physics 2013-05-29 Subroto Mukerjee , B. Sriram Shastry

Ballistic transport of a quantum system can be characterized by Drude weight, which quantifies the response of the system to a uniform electric field in the infinitely long timescale. The Drude weight is often discussed in terms of the Kohn…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 Kazuaki Takasan , Masaki Oshikawa , Haruki Watanabe

The Drude weight characterizes ballistic transport in quantum many-body systems, yet a comprehensive understanding and exact analytical results for it remain elusive, especially in multi-component quantum gases. In this work, we leverage…

Quantum Gases · Physics 2026-02-26 Zi-yang Liu , Xiangguo Yin , Yunbo Zhang , Shizhong Zhang , Xi-Wen Guan
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