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We investigate a specific finite element model to study the thermoelastic behavior of an elastic body within the context of nonlinear strain-limiting constitutive relation. As a special subclass of implicit relations, the thermoelastic…

Numerical Analysis · Mathematics 2022-03-02 Hyun C. Yoon , Karthik K. Vasudeva , S. M. Mallikarjunaiah

The spin-$\frac{1}{2}$ XXZ chain with easy-plane anisotropy in a transverse field describes well the thermodynamic properties of the material ${\rm Cs_2CoCl_4}$ in a wide range of temperatures and fields including the region close to the…

Strongly Correlated Electrons · Physics 2016-08-23 Benedikt Bruognolo , Andreas Weichselbaum , Jan von Delft , Markus Garst

We consider the isotropic $S=1$ Heisenberg chain with a finite Haldane gap $\Delta$ and use state-of-the-art numerical techniques to investigate its dynamical properties at finite temperature, focusing on the nuclear spin-lattice relaxation…

Strongly Correlated Electrons · Physics 2019-09-19 Sylvain Capponi , Maxime Dupont , Anders W. Sandvik , Pinaki Sengupta

We present a novel treatment of finite temperature properties of the one-dimensional Hubbard model. Our approach is based on a Trotter-Suzuki mapping utilizing Shastry's classical model and a subsequent investigation of the quantum transfer…

Strongly Correlated Electrons · Physics 2015-06-25 G. Juttner , A. Klumper , J. Suzuki

We analyse the three-particle scattering continuum in quasi one dimensional integer spin Heisenberg antiferromagnets within a low-energy effective field theory framework. We exactly determine the zero temperature dynamical structure factor…

Strongly Correlated Electrons · Physics 2009-10-31 Fabian H. L. Essler

We use recently developed strong-coupling expansion methods to study the two-particle spectra for the frustrated alternating Heisenberg model, consisting of an alternating nearest neighbor antiferromagnetic exchange and a uniform second…

Strongly Correlated Electrons · Physics 2008-03-26 Weihong Zheng , C. J. Hamer , R. R. P. Singh , Simon Trebst , Hartmut Monien

Low temperature dynamics of the S=1/2 Heisenberg chain is studied via a simple ansatz generalizing the conformal mapping and analytic continuation procedures to correlation functions with multiplicative logarithmic factors. Closed form…

Condensed Matter · Physics 2009-10-28 O. A. Starykh , R. R. P. Singh , A. W. Sandvik

The effect of thermal fluctuations on the dynamics of a gapped quantum magnet is studied using inelastic neutron scattering on copper nitrate, a model material for the one-dimensional (1D) bond alternating Heisenberg chain, combined with…

Within the tensor network framework, the (positive) thermal density operator can be approximated by a double layer of infinite Projected Entangled Pair Operator (iPEPO) coupled via ancilla degrees of freedom. To investigate the thermal…

Strongly Correlated Electrons · Physics 2021-02-03 Didier Poilblanc , Matthieu Mambrini , Fabien Alet

Transition rates and dynamic spin structure factor at zero temperature for the spin-1/2 XXZ chain at critical regime in a magnetic field are numerically evaluated in terms of the exact determinant representations for the form factors and…

Statistical Mechanics · Physics 2009-11-10 Jun Sato , Masahiro Shiroishi , Minoru Takahashi

We present numerical and analytical results for the thermodynamical properties of the spin-1/2 Heisenberg chain at arbitrary external magnetic field. Special emphasis is placed on logarithmic corrections in the susceptibility and specific…

Statistical Mechanics · Physics 2009-10-31 A. Klümper

In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the…

Strongly Correlated Electrons · Physics 2007-05-23 X. Zotos , P. Prelovsek

We study thermodynamic properties of the one-dimensional Heisenberg ferrimagnet with antiferromagnetically exchange-coupled two kinds of spins 1 and 1/2. The specific heat and the magnetic susceptibility are calculated employing a modified…

Statistical Mechanics · Physics 2009-10-30 Shoji Yamamoto , Takahiro Fukui

We use kinetic theory and the thermodynamic Bethe ansatz to derive the hydrodynamics of spin transport in the Haldane-Shastry chain. We obtain analytical expressions for relaxation from weak-domain-wall initial conditions and corresponding…

Statistical Mechanics · Physics 2024-12-03 Vir B. Bulchandani , Hyunsoo Ha

Warm dense matter is a highly energetic phase characterized by strong correlations, thermal effects, and quantum effects of electrons. Thermal density functional theory is commonly used in simulations of this challenging phase, driving the…

Strongly Correlated Electrons · Physics 2025-09-10 Brittany P. Harding , Francisca Sagredo , Vincent Martinetto , Aurora Pribram-Jones

We study the effects of finite temperature on the dynamics of non-planar vortices in the classical, two-dimensional anisotropic Heisenberg model with XY- or easy-plane symmetry. To this end, we analyze a generalized Landau-Lifshitz equation…

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using…

Strongly Correlated Electrons · Physics 2009-01-06 Igor Kuzmenko , Fabian H. L. Essler

Finite-temperature local spin dynamics within the random spin-1/2 antiferromagnetic Heisenberg chain is studied numerically. The aim is to explain measured NMR spin-lattice relaxation times in BaCu_{2}(Si_{0.5}Ge_{0.5})_{2}O_{7}, which is…

Strongly Correlated Electrons · Physics 2013-10-04 J. Herbrych , J. Kokalj , P. Prelovšek

A detailed discussion of the coherent and incoherent dynamic structure function of the free Fermi gas at finite temperature is presented. Their behavior and evolution with the momentum transfer and the temperature is analyzed, while…

Soft Condensed Matter · Physics 2009-10-31 F. Mazzanti , A. Polls

We explore the effects of finite temperature on the dynamics of Bose-Einstein condensates (BECs) after it is released from the confining potential. In addition, we examine the variation in the expansion dynamics of the BECs as the confining…

Quantum Gases · Physics 2017-06-26 Arko Roy , D. Angom
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