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With the commutation relations of the spin operators, we first write out the equations of motion of the spin susceptibility and related correlation functions that have a hierarchical structure, then under the "soft cut-off" approximation,…

Strongly Correlated Electrons · Physics 2020-08-25 Yu-Liang Liu

The anisotropic XXZ spin-1/2 Heisenberg chain is studied using renormalization-group theory. The specific heats and nearest-neighbor spin-spin correlations are calculated thoughout the entire temperature and anisotropy ranges in both…

Statistical Mechanics · Physics 2009-11-13 Ozan S. Sariyer , A. Nihat Berker , Michael Hinczewski

The low temperature thermodynamics of one-dimensional strongly repulsive SU(3) fermions in the presence of a magnetic field is investigated via the Yang-Yang thermodynamic Bethe ansatz method. The analytical free energy and magnetic…

Quantum Gases · Physics 2011-10-14 Peng He , Jen Yee Lee , Xiwen Guan , Murray T. Batchelor , Yupeng Wang

At zero temperature magnetic phases of the quantum spin-1/2 Heisenberg antiferromagnet on a simple cubic lattice with competing first and second neighbor exchanges (J1 and J2) is investigated using the non-linear spin wave theory. We find…

Strongly Correlated Electrons · Physics 2010-05-03 Kingshuk Majumdar , Trinanjan Datta

Motivated by recent experimental progress in the quasi-one-dimensional quantum magnet NiNb$_2$O$_6$, we study the spin dynamics of an S=1 ferromagnetic Heisenberg chain with single-ion anisotropy by using a semiclassical molecular dynamics…

Strongly Correlated Electrons · Physics 2024-08-01 Chengchen Li , Yi Cui , Weiqiang Yu , Rong Yu

A model relevant for the study of certain molecular magnets is the ring of N=4 classical spins with equal near-neighbor isotropic Heisenberg exchange interactions. Assuming classical Heisenberg spin dynamics, we solve explicitly for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Richard A. Klemm , Marshall Luban

Itinerant ferromagnetism in cold Fermi gases with repulsive interactions is studied applying the Jastrow-Slater approximation generalized to finite polarization and temperature. For two components at zero temperature a second order…

Quantum Gases · Physics 2015-05-20 Henning Heiselberg

Using the spin-rotation-invariant Green's function method we calculate the thermodynamic quantities (correlation functions <S_0 S_R>, uniform static spin susceptibility \chi, correlation length \xi, and specific heat C_V) of the…

Strongly Correlated Electrons · Physics 2010-05-27 M. Härtel , J. Richter , D. Ihle , S. -L. Drechsler

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 quantitative description of long-range order remains a challenge in quantum many-body physics. We provide zero-temperature results from two complementary methods for the ground-state energy per site, the sublattice magnetization, the…

Strongly Correlated Electrons · Physics 2025-10-24 Nils Caci , Dag-Björn Hering , Matthias R. Walther , Kai P. Schmidt , Stefan Wessel , Götz S. Uhrig

Co2FeAl0.5Si0.5 (CFAS) is a Heusler compound that is of interest for spintronics applications, due to its high spin polarization and relatively low Gilbert damping constant. In this study, the behavior of ferromagnetic resonance as a…

A systematic perturbation theory is developed for the ESR shift and is applied to the spin-1/2 Heisenberg chain. Using the Bethe ansatz technique, we exactly analyze the resonance shift in the first order of perturbative expansion with…

Statistical Mechanics · Physics 2009-11-11 Y. Maeda , K. Sakai , M. Oshikawa

We develop a simple and unbiased numerical method to obtain the uniform susceptibility of quantum many body systems. When a Hamiltonian is spatially deformed by multiplying it with a sine square function that smoothly decreases from the…

Strongly Correlated Electrons · Physics 2018-11-07 Chisa Hotta , Kenichi Asano

The antiferromagnetic $J_1-J_2$ model is a spin-1/2 chain with isotropic exchange $J_1 > 0$ between first neighbors and $J_2 = \alpha J_1$ between second neighbors. The model supports both gapless quantum phases with nondegenerate ground…

Strongly Correlated Electrons · Physics 2021-06-29 Sudip Kumar Saha , Manodip Routh , Manoranjan Kumar , Zoltán G. Soos

Using the PQSCHA semiclassical method, we evaluate thermodynamic quantities of one-dimensional Heisenberg ferro- and antiferromagnets. Since the PQSCHA reduces their evaluation to classical-like calculations, we take advantage of Fisher's…

Statistical Mechanics · Physics 2009-10-31 Alessandro Cuccoli , Valerio Tognetti , Paola Verrucchi , Ruggero Vaia

We consider isotropic XY model in the transverse magnetic field on the one dimensional lattice. Another name of the model in Heisenberg XXO model of spin 1/2.We solved long standing problem of evaluation of temperature correlations. We…

Condensed Matter · Physics 2007-05-23 Alexandr Its , Anatloij Izergin , Vladimr Korepin , Nikita Slavnov

The mean-field and effective-field approximations are applied in the study of magnetic and thermodynamic properties of a spin-$1/2$ Ising system containing three layers, each of which is composed exclusively of one out of two possible types…

Statistical Mechanics · Physics 2017-11-02 I J L Diaz , N S Branco

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

The Schwinger boson mean field theory is applied to the quantum ferrimagnetic Heisenberg chain. There is a ferrimagnetic long range order in the ground state. We observe two branches of the low lying excitation and calculate the spin…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , Bin Chen , Xi Dai , Yue Yu , Zhao-Bin Su

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