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The magnetization dynamics of the triangular lattice of Ising spin chains is investigated in the framework of a two-dimensional model. The rigid chains are assumed to interact with the nearest neighboring chains, an external magnetic field,…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. B. Kudasov , A. S. Korshunov , V. N. Pavlov , D. A. Maslov

The collective behavior of thermally active structures offers clues on the emergent degrees of freedom and the physical mechanisms that determine the low energy state of a variety of systems. Here, the thermally active dynamics of magnetic…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Paula Mellado

Finite-temperature local spin dynamics within the random spin-1/2 antiferromagnetic Heisenberg chain is studied numerically. The aim is to explain measured NMR spin-lattice relaxation times in BaCu_{2}(Si_{0.5}Ge_{0.5})_{2}O_{7}, which is…

Strongly Correlated Electrons · Physics 2013-10-04 J. Herbrych , J. Kokalj , P. Prelovšek

We present a study of the dynamic structure factor of the antiferromagnetic spin-1/2 Heisenberg chain at finite temperatures and finite magnetic fields. Using Quantum-Monte-Carlo based on the stochastic series expansion and Maximum-Entropy…

Strongly Correlated Electrons · Physics 2009-11-13 S. Grossjohann , W. Brenig

The state-of-the-art theoretical description of magnetic materials relies on solving effective Heisenberg spin problems or their generalizations to relativistic or multi-spin-interaction cases that explicitly assume the presence of local…

Strongly Correlated Electrons · Physics 2022-04-27 E. A. Stepanov , S. Brener , V. Harkov , M. I. Katsnelson , A. I. Lichtenstein

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

Inspired by path integral molecular dynamics, we build a spin model, in terms of spin coherent states, from which we can compute the quantum expectation values of a spin in a constant magnetic field, at finite temperature. This formulation…

Materials Science · Physics 2023-11-02 Thomas Nussle , Stam Nicolis , Joseph Barker

The nuclear spin-lattice relaxation rate 1/T_1_ is calculated for magnetic ring clusters by fully diagonalizing their microscopic spin Hamiltonians. Whether the nearest-neighbor exchange interaction J is ferromagnetic or antiferromagnetic,…

Strongly Correlated Electrons · Physics 2009-11-11 Shoji Yamamoto , Toshiya Hikihara

The spin 1/2 Heisenberg model on a square lattice with antiferromagnetic nearest- and next-nearest neighbour interactions (the $J_1$--$J_2$ model) has long been studied as a paradigm of a two-dimensional frustrated quantum magnet. Only very…

Strongly Correlated Electrons · Physics 2007-05-23 Nic Shannon , Burkhard Schmidt , Karlo Penc , Peter Thalmeier

The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the…

Statistical Mechanics · Physics 2012-12-27 J. Strecka , M. Hagiwara , Y. Han , T. Kida , Z. Honda , M. Ikeda

Temperature-dependent dynamical spin correlations, which can be readily accessed via a variety of experimental techniques, hold the potential of offering a unique fingerprint of quantum spin liquids and other intriguing dynamical states. In…

Strongly Correlated Electrons · Physics 2021-01-21 P. Prelovšek , M. Gomilšek , T. Arh , A. Zorko

We attempt to solve the magnetic structure of the gadolinium analogue of `spin-ice', using a mixture of experimental and theoretical assumptions. The eventual predictions are essentially consistent with both the Mossbauer and neutron…

Strongly Correlated Electrons · Physics 2015-05-19 M. I. Brammall , A. K. R. Briffa , M. W. Long

Thermodynamic properties of the quantum Heisenberg spin chains with S = 1/2, 1, and 3/2 are investigated using the transfer-matrix renormalization-group method. The temperature dependence of the magnetization, susceptibility, specific heat,…

Strongly Correlated Electrons · Physics 2009-10-31 Tao Xiang

We show that the stochastic dynamics of a large class of one-dimensional interacting particle systems may be presented by integrable quantum spin Hamiltonians. Generalizing earlier work \cite{Stin95a,Stin95b} we present an alternative…

Statistical Mechanics · Physics 2009-10-31 Gunter M. Schütz

We analyze the dynamical nearest-neighbor and next-nearest-neighbor spin correlations in the 4-site and 8-site dynamical cluster approximation to the two-dimensional Hubbard model. Focusing on the robustness of these correlations at long…

Strongly Correlated Electrons · Physics 2020-04-22 Philipp Werner , Xi Chen , Emanuel Gull

The magnetic relaxation and hysteresis of a system of single domain particles with dipolar interactions are studied by Monte Carlo simulations. We model the system by a chain of Heisenberg classical spins with randomly oriented easy-axis…

Materials Science · Physics 2007-05-23 Oscar Iglesias , Amilcar Labarta

We provide exact analytical expressions for the magnetic susceptibility function in the high temperature expansion for finite Heisenberg spin systems with an arbitrary coupling matrix, arbitrary single-spin quantum number, and arbitrary…

Statistical Mechanics · Physics 2009-11-07 H. -J. Schmidt , J. Schnack , Marshall Luban

Understanding the spin dynamics in low-temperature settings is crucial to designing and optimizing molecular spin systems for use in emerging quantum technologies. At low temperatures, irreversible loss occurs due to ensemble dynamics…

Quantum Physics · Physics 2024-11-14 Timothy J. Krogmeier , Anthony W. Schlimgen , Kade Head-Marsden

In the last decade it has been proven that the standard spin wave theory was able to provide accurate zero-temperature results for a number of low-dimensional Heisenberg spin systems. In this chapter we introduce the main ingredients of the…

Strongly Correlated Electrons · Physics 2009-11-10 N. B. Ivanov , D. Sen

Interacting spins in quantum magnet can cooperate and exhibit exotic states like the quantum spin liquid. To explore the materialization of such intriguing states, the determination of effective spin Hamiltonian of the quantum magnet is…

Strongly Correlated Electrons · Physics 2021-09-01 Sizhuo Yu , Yuan Gao , Bin-Bin Chen , Wei Li