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Thermalization is investigated for the one-dimensional anisotropic antiferromagnetic Heisenberg model with dimerized nearest-neighbor interactions that break integrability. For this purpose the time evolution of local operator expectation…

Strongly Correlated Electrons · Physics 2016-01-20 N. P. Konstantinidis

The zero-temperature critical state of the two-dimensional gauge glass model is investigated. It is found that low-energy vortex configurations afford a simple description in terms of gapless, weakly interacting vortex-antivortex pair…

Disordered Systems and Neural Networks · Physics 2009-11-10 Lei-Han Tang , Peiqing Tong

We developed the functional form of the two-point correlation function under the approximation of fixed particle number density n(bar). We solved the quasi-linear partial differential equation (PDE) through the method of characteristics to…

Astrophysics of Galaxies · Physics 2022-07-01 Durakhshan Ashraf Qadri , Abdul W. Khanday , Prince A. Ganai

The eigenstate thermalization hypothesis (ETH) is a successful theory that establishes the criteria for ergodicity and thermalization in isolated quantum many-body systems. In this work, we investigate the thermalization properties of…

We derive expressions for the form factors of the quantum transfer matrix of the spin-1/2 XXZ chain which are suitable for taking the infinite Trotter number limit. These form factors determine the finitely many amplitudes in the leading…

Statistical Mechanics · Physics 2015-06-15 Maxime Dugave , Frank Göhmann , Karol K. Kozlowski

We evaluate numerically certain multiple integrals representing nearest and next-nearest neighbor correlation functions of the spin-1/2 $XXZ$ Heisenberg infinite chain at finite temperatures.

Statistical Mechanics · Physics 2009-11-11 Michael Bortz , Frank Göhmann

We explore the effect of a (non) magnetic impurity on the thermal transport of the spin-1/2 Heisenberg chain model. This unique system allows to probe Kondo-type phenomena in a prototype strongly correlated system. Using numerical…

Strongly Correlated Electrons · Physics 2010-06-08 A. Metavitsiadis , X. Zotos , O. S. Barišić , P. Prelovšek

We study the asymptotic behavior of the emptiness formation probability for large spin strings in a translation invariant quasifree nonequilibrium steady state of the isotropic XY chain. Besides the overall exponential decay, we prove that,…

Mathematical Physics · Physics 2011-03-08 Walter H. Aschbacher

Exact low-temperature asymptotic behavior of boundary contribution to specific heat and susceptibility in the one-dimensional spin-1/2 XXZ model with exchange anisotropy 1/2 < \Delta \le 1 is analytically obtained using the Abelian…

Strongly Correlated Electrons · Physics 2007-05-23 A. Furusaki , T. Hikihara

The entanglement in a general Heisenberg antiferromagnetic chain of arbitrary spin-$s$ is investigated. The entanglement is witnessed by the thermal energy which equals to the minimum energy of any separable state. There is a characteristic…

Quantum Physics · Physics 2011-02-19 Xiang Hao , Shiqun Zhu

Recently pseudo-critical temperature clues were observed in one-dimensional spin models, such as the Ising-Heisenberg spin models, among others. Here we report a relationship between the zero-temperature phase boundary residual entropy…

Statistical Mechanics · Physics 2024-02-21 Onofre Rojas

We derive an explicit expression for the leading term in the late-time, large-distance asymptotic expansion of a transverse dynamical two-point function of the XX chain in the spacelike regime. This expression is valid for all non-zero…

Statistical Mechanics · Physics 2024-06-18 Frank Göhmann , Karol K. Kozlowski , Junji Suzuki

We analyze the thermal conductivity of frustrated spin-1/2 chains within linear-response theory focusing on its frequency dependence at finite temperatures. Using exact diagonalization, the low-frequency limit of the thermal conductivity is…

Strongly Correlated Electrons · Physics 2007-05-23 F. Heidrich-Meisner , A. Honecker , D. C. Cabra , W. Brenig

The thermal equilibrium properties of physical systems can be described using Gibbs states. It is therefore of great interest to know when such states allow for an easy description. In particular, this is the case if correlations between…

Quantum Physics · Physics 2022-03-01 Andreas Bluhm , Ángela Capel , Antonio Pérez-Hernández

For the two-dimensional random field Ising model where the random field is given by i.i.d.\ mean zero Gaussian variables with variance $\epsilon^2$, we study (one natural notion of) the correlation length, which is the critical size of a…

Probability · Mathematics 2022-07-20 Jian Ding , Mateo Wirth

Combining high-temperature expansions with the recursion method and quantum Monte Carlo simulations with the maximum entropy method, we study the dynamics of the spin-1/2 Heisenberg chain at temperatures above and below the coupling J. By…

Strongly Correlated Electrons · Physics 2009-10-30 O. A. Starykh , A. W. Sandvik , R. R. P. Singh

We study the zero temperature static properties of dissipative ensembles of quantum Ising spins arranged on periodic one dimensional finite clusters and on an infinite chain. The spins interact ferro-magnetically with nearest-neighbour pure…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leticia F. Cugliandolo , Gustavo S. Lozano , Homero Lozza

The statistics of the heat exchanged between two quantum XX spin chains prepared at different temperatures is studied within the assumption of weak coupling. This provides simple formulas for the average heat and its corresponding…

Statistical Mechanics · Physics 2016-03-23 Gabriel T. Landi , Dragi Karevski

We numerically study thermodynamic and structural properties of the one-component Gaussian core model (GCM) at very high densities. The solid-fluid phase boundary is carefully determined. We find that the density dependence of both the…

Soft Condensed Matter · Physics 2015-05-27 Atsushi Ikeda , Kunimasa Miyazaki

We consider the extended Hubbard diamond chain with an arbitrary number of particles driven by chemical potential. The interaction between dimer diamond chain and nodal couplings is considered in the atomic limit (no hopping), while the…

Statistical Mechanics · Physics 2021-04-21 Onofre Rojas , Jordana Torrico , L. M. Veríssimo , M. S. S. Pereira , S. M. de Souza , M. L. Lyra
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