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We consider an XXZ spin-1/2 chain in the presence of several types of disorder that do not break the XY symmetry of the system. We calculate the complete asymptotic form of the spin-correlation functions at zero temperature at the…

Statistical Mechanics · Physics 2012-07-16 Zoran Ristivojevic , Aleksandra Petkovic , Thierry Giamarchi

The thermodynamic properties of S>=1 ferromagnetic chains with an easy-axis single-ion anisotropy are investigated at arbitrary temperatures by both a Green-function approach, based on a decoupling of three-spin operator products, and by…

Strongly Correlated Electrons · Physics 2009-11-11 I. Juhász Junger , D. Ihle , J. Richter

We study spin transport of the XXZ model with next-nearest neighbor $\Delta_2$ terms. We compute numerically dependence of spin conductivity $\sigma(\omega)$ on the anisotropy $\Delta$ and the ratio $r= \Delta_2/\Delta$, in the large…

Strongly Correlated Electrons · Physics 2025-04-29 Zhi-Hua Li

we investigate the thermodynamic properties of weakly anisotropic disordered magnetic chains where the nearest-neighbor Heisenberg exchange coupling is the dominant spin-spin interaction. In addition to the exchange interaction, there is…

Disordered Systems and Neural Networks · Physics 2009-11-07 I. Avgin , D. L. Huber

Motivated by recent investigations of transport properties of strongly correlated 1d models and thermal conductivity measurements of quasi 1d magnetic systems we present results for the integrable spin-1/2 $XXZ$ chain. The thermal…

Statistical Mechanics · Physics 2019-12-20 Andreas Kluemper , Kazumitsu Sakai

We address the nature of spin dynamics in various integrable and non-integrable, isotropic and anisotropic quantum spin-$S$ chains, beyond the paradigmatic $S=1/2$ Heisenberg model. In particular, we investigate the algebraic long-time…

Strongly Correlated Electrons · Physics 2020-03-18 Maxime Dupont , Joel E. Moore

We study the charge conductivity of the one-dimensional repulsive Hubbard model at finite temperature using the method of dynamical quantum typicality, focusing at half filling. This numerical approach allows us to obtain current…

Strongly Correlated Electrons · Physics 2015-11-05 F. Jin , R. Steinigeweg , F. Heidrich-Meisner , K. Michielsen , H. De Raedt

The dynamics of spin at finite temperature in the spin-1/2 Heisenberg chain was found to be superdiffusive in numerous recent numerical and experimental studies. Theoretical approaches to this problem have emphasized the role of nonabelian…

Statistical Mechanics · Physics 2022-06-20 Pieter W. Claeys , Austen Lamacraft , Jonah Herzog-Arbeitman

Recent developments in the analysis of finite temperature dissipationless transport in integrable quantum many body problems are presented. In particular, we will discuss: (i) the role played by the conservation laws in systems as the spin…

Condensed Matter · Physics 2007-05-23 X. Zotos , F. Naef , P. Prelovsek

The interplay of different scattering mechanisms can lead to novel effects in transport. We show theoretically that the interplay of weak impurity and Umklapp scattering in spin-1/2 chains leads to a pronounced dip in the magnetic field…

Strongly Correlated Electrons · Physics 2009-11-13 E. Shimshoni , D. Rasch , P. Jung , A. V. Sologubenko , A. Rosch

We study thermal transport in a classical one-dimensional Heisenberg model employing a discrete time odd even precessional update scheme. This dynamics equilibrates a spin chain for any arbitrary temperature and finite value of the…

Statistical Mechanics · Physics 2015-03-20 Debarshee Bagchi , P. K. Mohanty

We study the dynamical response of frustrated, quasi-one-dimensional spin-1/2 Heisenberg antiferromagnets at finite temperatures. We allow for the presence of a Dzyaloshinskii-Moriya interaction. We concentrate on a model of weakly coupled…

Strongly Correlated Electrons · Physics 2009-11-07 Marc Bocquet , Fabian H. L. Essler , Alexei M. Tsvelik , Alexander O. Gogolin

Using the bottom-up approach in a holographic setting, we attempt to study both the transport and thermodynamic properties of a generic system in 3+1 dimensional bulk spacetime. We show the exact 1/T and $T^2$ dependence of the longitudinal…

High Energy Physics - Theory · Physics 2013-05-29 Shesansu Sekhar Pal

Two dimensional hard core bosons suffer strong scattering in the high temperature resistive state at half filling. The dynamical conductivity is calculated using non perturbative tools such as continued fractions, series expansions and…

Strongly Correlated Electrons · Physics 2010-02-18 Netanel H. Lindner , Assa Auerbach

We present a study of the phononic thermal conductivity of isotopically disordered carbon nanotubes. In particular, the behavior of the thermal conductivity as a function of the system length is investigated, using Green's function…

Materials Science · Physics 2008-11-03 Gabriel Stoltz , Michele Lazzeri , Francesco Mauri

We investigate spin correlations in one-dimensional $SU(2)$-invariant Heisenberg chains with exchange disorder for spin lengths $S=1/2$ and $S=1$. In the weak-disorder regime, the eigenmodes of the spin-spin correlation matrix are…

Disordered Systems and Neural Networks · Physics 2025-08-04 Debasmita Giri , Julian Siegl , John Schliemann

Whether in the thermodynamic limit, vanishing magnetic field $h\rightarrow 0$, and nonzero temperature the spin stiffness of the spin-$1/2$ $XXX$ Heisenberg chain is finite or vanishes within the grand-canonical ensemble remains an unsolved…

Strongly Correlated Electrons · Physics 2017-01-04 J. M. P. Carmelo , T. Prosen

We investigate spin and thermal transport near the N\'{e}el transition temperature $T_N$ in three dimensions, by numerically analyzing the classical antiferromagnetic $XXZ$ model on the cubic lattice, where in the model, the anisotropy of…

Strongly Correlated Electrons · Physics 2022-12-09 Kazushi Aoyama

We study two-dimensional interacting electrons in a weak perpendicular magnetic field with the filling factor $\nu \gg 1$ and in the presence of a quenched disorder. As it is known, the unidirectional charge density wave state can exist…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. S. Burmistrov

We present a theory of the effects of impurity scattering in d_{x^2-y^2} superconductors and their quantum disordered counterparts, based on a non-linear sigma model formulation. We show the existence, in a quasi-two-dimensional system, of…

Superconductivity · Physics 2009-10-31 T. Senthil , Matthew P. A. Fisher , Leon Balents , Chetan Nayak
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