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We present a method to compute the magnetic susceptibility of spin systems at all temperatures in one and two dimensions. It relies on an approximation of the entropy versus energy (microcanonical potential function) on the whole range of…

Strongly Correlated Electrons · Physics 2015-06-22 B. Bernu , C. Lhuillier

We study topology in Quantum Chromodynamics at high temperatures by means of lattice calculations. Simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at maximal twist with physical quark masses, and temperatures…

High Energy Physics - Lattice · Physics 2025-09-08 A. Yu. Kotov , M. P. Lombardo , A. Trunin

A numerical method, suitable for the simulation of the time evolution of quantum spin models of arbitrary lattice dimension, is presented. The method combines sampling of the Wigner function with evolution equations obtained from the…

Statistical Mechanics · Physics 2016-05-10 Lorenzo Pucci , Analabha Roy , Michael Kastner

In this article we investigate the time dependence of the gap mode of copper nitrate at various temperatures. We combine state-of-the-art theoretical calculations with high precision neutron resonance spin-echo measurements to understand…

Strongly Correlated Electrons · Physics 2016-11-10 B. Fauseweh , F. Groitl , T. Keller , K. Rolfs , D. A. Tennant , K. Habicht , G. S. Uhrig

A comprehensive study of the two-dimensional (2D) compass model on the square lattice is performed for classical and quantum spin degrees of freedom using Monte Carlo and quantum Monte Carlo methods. We employ state-of-the-art…

Statistical Mechanics · Physics 2008-09-05 Sandro Wenzel , Wolfhard Janke

Coupled, dynamical spin-lattice models provide a unique test ground for simulations investigating the finite-temperature magnetic properties of materials under the direct influence of the lattice vibrations. These models are constructed by…

Statistical Mechanics · Physics 2016-12-28 Dilina Perera , Thomas Vogel , David P. Landau

Magnetic anisotropy of spin models with directional-dependent interactions in the high-temperature paramagnetic phase is theoretically studied. Using a high temperature expansion, we show that the Ising type directional-dependent…

Strongly Correlated Electrons · Physics 2017-05-16 Hiroaki Ishizuka

We consider quantum Heisenberg ferro- and antiferromagnets on the square lattice with exchange anisotropy of easy-plane or easy-axis type. The thermodynamics and the critical behaviour of the models are studied by the pure-quantum…

Statistical Mechanics · Physics 2015-06-24 A. Cuccoli , T. Roscilde , V. Tognetti , R. Vaia , P. Verrucchi

High temperature series expansions of the spin-spin correlation function for the plane rotator (or XY) model on the sc lattice are extended by three terms through order $\beta^{17}$. Tables of the expansion coefficients are reported for the…

High Energy Physics - Lattice · Physics 2019-08-15 P. Butera , M. Comi , A. J. Guttmann

Frustrated quantum spin systems such as the Heisenberg and Kitaev models on various lattices, have been known to exhibit various exotic properties not only at zero temperature but also for finite temperatures. Inspired by the remarkable…

Strongly Correlated Electrons · Physics 2020-03-04 Katsuhiro Morita , Takami Tohyama

The new algorithm of the finite lattice method is applied to generate the high-temperature expansion series of the simple cubic Ising model to $\beta^{50}$ for the free energy, to $\beta^{32}$ for the magnetic susceptibility and to…

High Energy Physics - Lattice · Physics 2009-11-10 H. Arisue , T. Fujiwara , K. Tabata

The stranglehold of low temperatures on fascinating quantum phenomena in one-dimensional quantum magnets has been challenged recently by the discovery of anomalous spin transport at high temperatures. Whereas both regimes have been…

Strongly Correlated Electrons · Physics 2021-09-01 Maxime Dupont , Nicholas E. Sherman , Joel E. Moore

We investigate the quench dynamics of a quantum dot strongly coupled to spin-polarized ferromagnetic leads. The real-time evolution is calculated by means of the time-dependent density-matrix numerical renormalization group method…

Mesoscale and Nanoscale Physics · Physics 2019-07-10 Kacper Wrześniewski , Ireneusz Weymann

We study the 3D Hubbard model with anisotropic nearest neighbor tunneling amplitudes using the dynamical cluster approximation and compare the results with a quantum simulation experiment using ultracold fermions in an optical lattice,…

The Kitaev model, defined on a honeycomb lattice, features an exactly solvable ground state with fractionalized Majorana fermion excitations, which can potentially form non-Abelian anyons crucial for fault-tolerant topological quantum…

Strongly Correlated Electrons · Physics 2024-07-18 Hibiki Takegami , Takao Morinari

We study the energy-density dynamics at finite momentum of the two-dimensional Kitaev spin-model on the honeycomb lattice. Due to fractionalization of magnetic moments, the energy relaxation occurs through mobile Majorana matter, coupled to…

Strongly Correlated Electrons · Physics 2021-09-29 Alexandros Metavitsiadis , Wolfram Brenig

We propose a method to probe time dependent correlations of non trivial observables in many-body ultracold lattice gases. The scheme uses a quantum non-demolition matter-light interface, first, to map the observable of interest on the many…

Quantum Physics · Physics 2012-02-14 O. Romero-Isart , M. Rizzi , C. A. Muschik , E. S. Polzik , M. Lewenstein , A. Sanpera

We study how stable the Majorana-mediated spin transport in a quantum spin Kitaev model is against thermal fluctuations. Using the time-dependent thermal pure quantum state method, we examine finite-temperature spin dynamics in the Kitaev…

Strongly Correlated Electrons · Physics 2022-03-30 Hirokazu Taguchi , Yuta Murakami , Akihisa Koga

A unified model of molecular and atomistic spin dynamics is presented enabling simulations both in microcanonical and canonical ensembles without the necessity of additional phenomenological spin damping. Transfer of energy and angular…

The method for calculating the isotropic exchange interactions in the paramagnetic phase is proposed. It is based on the mapping of the high-temperature expansion of the spin-spin correlation function calculated for the Heisenberg model…

Strongly Correlated Electrons · Physics 2016-11-09 O. M. Sotnikov , V. V. Mazurenko