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Related papers: Density Profiles in Random Quantum Spin Chains

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We consider an Ising spin-chain in a random transverse magnetic field and compute the zero temperature wave vector and frequency dependent dynamic structure factor numerically by using Jordan-Wigner transformation. Two types of…

Strongly Correlated Electrons · Physics 2007-05-23 Xun Jia , Sudip Chakravarty

Recently observed scaling in the random-anisotropy model of amorphous or sintered ferromagnets is derived by an alternative method and extended for studying the dynamical properties in terms of the Landau-Lifshitz equations for spin blocks.…

Disordered Systems and Neural Networks · Physics 2025-02-14 Dmitry A. Garanin , Eugene M. Chudnovsky

Different aspects of critical behaviour of magnetic materials are presented and discussed. The scaling ideas are shown to arise in the context of purely magnetic properties as well as in that of thermal properties as demonstrated by…

Strongly Correlated Electrons · Physics 2013-12-04 R. Pelka , P. Konieczny , M. Fitta , M. Czapla , P. M. Zielinski , M. Balanda , T. Wasiutynski , Y. Miyazaki , A. Inaba , D. Pinkowicz , B. Sieklucka

The relationship between the spectral density and free energy of a spin system is considered. The analytical expressions allowing for the calculation of the spectral density for solvable models are determined. A linear Ising model is taken…

Disordered Systems and Neural Networks · Physics 2017-04-06 B. V. Kryzhanovsky

A nonlinear susceptibilities (the third derivative of a magnetization $m_S$ by a magnetic field $h$ ) of the $S$=1/2 ferromagnetic Heisenberg chain and the classical Heisenberg chain are calculated at low temperatures $T.$ In both chains…

Condensed Matter · Physics 2015-06-25 H. Nakamure , M. Takahashi

We study the one-dimensional Ising model with long-range interactions in the context of Tsallis non-extensive statistics by computing numerically the number of states with a given energy. We find that the internal energy, magnetization,…

Statistical Mechanics · Physics 2016-08-31 R. Salazar , R. Toral

We investigate a simple tight-binding Hamiltonian to understand the stability of spin-polarized transport of states with an arbitrary spin content in the presence of disorder. The general spin state is made to pass through a linear chain of…

Disordered Systems and Neural Networks · Physics 2019-04-12 Leonardo Benini , Amrita Mukherjee , Arunava Chakrabarti , Rudolf A. Roemer

We exploit the knowledge of the entanglement spectrum in the ground state of the gapped XXZ spin chain to derive asymptotic exact results for the full counting statistics of the transverse magnetisation in a spin block of length. We found…

Statistical Mechanics · Physics 2020-05-28 Pasquale Calabrese , Mario Collura , Giuseppe Di Giulio , Sara Murciano

We study the spin-spin correlations in two distinct random critical XX spin-1/2 chain models via exact diagonalization. For the well-known case of uncorrelated random coupling constants, we study the non-universal numerical prefactors and…

Disordered Systems and Neural Networks · Physics 2020-01-29 João C. Getelina , José A. Hoyos

We investigate the charge and spin structures associated with arbitrary smooth polarization textures in Ising (integer) quantum Hall ferromagnets. We consider the case where the two polarizations (denoted "pseudospin" up and down)…

Mesoscale and Nanoscale Physics · Physics 2019-12-11 Jeroen Danon , Ajit C. Balram , Samuel Sánchez , Mark S. Rudner

Recent analyses of least-sensitive inflection points in derivatives of the microcanonical entropy for the two-dimensional Ising model revealed higher-order transition signals in addition to the well-studied second-order…

Statistical Mechanics · Physics 2023-06-30 Kedkanok Sitarachu , Royce K. P. Zia , Michael Bachmann

The paper presents a new numerical approach for studying the thermodynamical and dynamical properties of finite spin-$\frac{1}{2}$ $XY$ chains. Special attention is given to examining the influence of disorder on the average transverse…

Condensed Matter · Physics 2007-05-23 O. Derzhko , T. Krokhmalskii

We report an effective functional form for the spin-spin correlation function of the 2D Ising model as a function of temperature and field. Although the Ising model has been well studied, no analytical result for the spin-spin correlation…

Statistical Mechanics · Physics 2013-07-29 Yan-Jiun Chen , Natalie M. Paquette , Benjamin B. Machta , James P. Sethna

We consider a recently introduced generalization of the Ising model in which individual spin strength can vary. The model is intended for analysis of ordering in systems comprising agents which, although matching in their binarity (i.e.,…

Statistical Mechanics · Physics 2021-09-28 Mariana Krasnytska , Bertrand Berche , Yurij Holovatch , Ralph Kenna

We introduce an energy functional for ground-state electronic structure calculations. Its variables are the natural spin-orbitals of singlet many-body wave functions and their joint occupation probabilities deriving from controlled…

Chemical Physics · Physics 2016-12-04 Ralph Gebauer , Morrel H. Cohen , Roberto Car

We compute the fluctuations of the magnetization and of the multi-overlaps for the dilute mean field ferromagnet, in the high temperature region. The rescaled magnetization tends to a centered Gaussian variable with variance diverging at…

Mathematical Physics · Physics 2008-11-14 Luca De Sanctis

We have studied the spin structure of circular four-electron quantum rings using tunable confinement potentials. The calculations were done using the exact diagonalization method. Our results indicate that ringlike systems can have…

Mesoscale and Nanoscale Physics · Physics 2013-06-25 G. Bårdsen , E. Tölö , A. Harju

In this paper, we consider the Ising model on random $d$-regular graphs (with $d\ge3$) and Erd\"os-R\'enyi graphs $G(n,d/n)$ (with $d>1$) at the critical temperature. We prove that the \textit{magnetization}, i.e.\ the sum of the spins of a…

Probability · Mathematics 2026-03-31 Kyprianos-Iason Prodromidis , Allan Sly

The spectra which occur in numerical density-matrix renormalization group (DMRG) calculations for quantum chains can be obtained analytically for integrable models via corner transfer matrices. This is shown in detail for the transverse…

Statistical Mechanics · Physics 2017-09-27 I. Peschel , M. Kaulke , Ö. Legeza

Weak gravitational lensing surveys are rapidly becoming important tools to probe directly the mass density fluctuations in the universe and its background dynamics. Earlier studies have shown that it is possible to model the statistics of…

Astrophysics · Physics 2009-11-07 Patrick Valageas , Andrew J. Barber , Dipak Munshi