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In this paper, we propose a unified formalism, using Green's functions, to integrate out the electrons in an insulator under uniform electromagnetic fields. We derive a perturbative formula for the Green's function in the presence of…

Other Condensed Matter · Physics 2013-05-29 Kuang-Ting Chen , Patrick A. Lee

We calculate the entropy and cooling rate of the antiferromagnetic spin-1/2 XXZ chain under an adiabatic demagnetization process using the quantum transfer-matrix technique and non-linear integral equations. The limiting case of the Ising…

Strongly Correlated Electrons · Physics 2010-02-02 Christian Trippe , Andreas Honecker , Andreas Klümper , Vadim Ohanyan

The dilute Heisenberg ferromagnet is studied taking into account fluctuations of magnetization caused by disorder. A self-consistent system of equations for magnetization and its mean quadratic fluctuations is derived within the…

Condensed Matter · Physics 2015-06-25 I. Vakarchuk , V. Tkachuk , T. Kuliy

The partition functions for two-dimensional nearest neighbour Ising model in a non-zero magnetic field have been derived for finite square lattices with the help of graph theoretical procedures, show-bit algorithm, enumeration of…

Statistical Mechanics · Physics 2010-06-03 G. Nandhini , M. Vinoth Kumar , M. V. Sangaranarayanan

The $S=1/2$ Heisenberg antiferromagnet is studied on the kagom\'e lattice by using a Green's function method based on an appropriate decoupling of the equations of motion. Thermodynamic properties as well as spin-spin correlation functions…

Strongly Correlated Electrons · Physics 2009-11-07 B. H. Bernhard , B. Canals , C. Lacroix

Microscopic models of classical degrees of freedom coupled to non-interacting fermions occur in many different contexts. Prominent examples from solid state physics are descriptions of colossal magnetoresistance manganites and diluted…

Statistical Mechanics · Physics 2009-06-16 Alexander Weiße

By modeling a dielectric medium with two independent reservoirs, i.e., electric and magnetic reservoirs, the electromagnetic field is quantized in a linear dielectric medium consistently. A Hamiltonian is proposed from which using the…

Quantum Physics · Physics 2007-05-23 F. Kheirandish , M. Amooshahi

Taking the Ising chain as a reference model we have derived a perturbative expression for the free energy density of the Heisenberg-Ising chain with strong easy-axis anisotropy. All calculations are performed on the ground of the Quantum…

Strongly Correlated Electrons · Physics 2022-03-09 P. N. Bibikov

A theory for the magnetization of ferromagnetic films is formulated within the framework of many-body Green's funtion theory which considers all components of the magnetization. The model Hamiltonian includes a Heisenberg term, an external…

Statistical Mechanics · Physics 2017-09-27 P. Froebrich , P. J. Kuntz , M. Saber

We explicitly calculate the moments $t_n$ of general Heisenberg Hamiltonians up to eighth order. They have the form of finite sums of products of two factors. The first factor is represented by a (multi-)graph which has to be evaluated for…

Statistical Mechanics · Physics 2011-12-06 Heinz-Jürgen Schmidt , Andre Lohmann , Johannes Richter

A two-dimensional (2D) hydrogen-like atom with a relativistic Dirac electron, placed in a weak, static, uniform magnetic field perpendicular to the atomic plane, is considered. Closed forms of the first- and second-order Zeeman corrections…

Quantum Physics · Physics 2019-01-29 Radosław Szmytkowski

The quantization of the electromagnetic field in a three-dimensional inhomogeneous dielectric medium with losses is carried out in the framework of a damped-polariton model with an arbitrary spatial dependence of its parameters. The…

Quantum Physics · Physics 2018-08-17 L. G. Suttorp , M. Wubs

Motivated by the numerous examples of 1/3 magnetization plateaux in the triangular lattice Heisenberg an- tiferromagnet with spins ranging from 1/2 to 5/2, we revisit the semiclassical calculation of the magnetization curve of that model,…

Strongly Correlated Electrons · Physics 2016-09-19 Tommaso Coletta , Tamás Tóth , Karlo Penc , Frédéric Mila

We construct a new mean-field theory for quantum (spin-1/2) Heisenberg antiferromagnet in one (1D) and two (2D) dimensions using a Hartree-Fock decoupling of the four-point correlation functions. We show that the solution to the…

Mesoscale and Nanoscale Physics · Physics 2018-06-13 A. Werth , P. Kopietz , O. Tsyplyatyev

The spin-1/2 Ising-Heisenberg branched chain, inspired by the magnetic structure of three isostructural polymeric coordination compounds [(Tp)2Fe2(CN)6X(bdmap)Cu2(H2O)].H2O to be further denoted as Fe2Cu2 (Tp = tris(pyrazolyl)hydroborate,…

Statistical Mechanics · Physics 2024-09-10 David Sivy , Katarina Karlova , Jozef Strecka

We compare three first-principles methods of calculating the Curie temperature in two-dimensional (2D) ferromagnetic materials (FM), modeled using the Heisenberg model, and propose a simple formula for estimating the Curie temperature with…

We simulated the field-dependent magnetization m(H,T) and the uniform susceptibility \chi(H,T) of classical Heisenberg antiferromagnets in the chain and square-lattice geometry using Monte Carlo methods. The results confirm the singular…

Statistical Mechanics · Physics 2008-05-10 D. Hinzke , U. Nowak , D. A. Garanin

The quantum-to-classical correspondence (QCC) in spin models is a puzzling phenomenon where the static susceptibility of a quantum system agrees with its classical-system counterpart, at a different corresponding temperature, within the…

Strongly Correlated Electrons · Physics 2020-01-22 Tao Wang , Xiansheng Cai , Kun Chen , Nikolay V. Prokof'ev , Boris V. Svistunov

A perturbation spin-wave theory for the quantum Heisenberg antiferromagnets on a square lattice is proposed to calculate the uniform static magnetic susceptibility at finite temperatures, where a divergence in the previous theories due to…

Strongly Correlated Electrons · Physics 2009-12-22 Y. H. Su , M. M. Liang , G. M. Zhang

We apply the event-chain Monte Carlo algorithm to the three-dimensional ferromagnetic Heisenberg model. The algorithm is rejection-free and also realizes an irreversible Markov chain that satisfies global balance. The autocorrelation…

Statistical Mechanics · Physics 2015-12-22 Yoshihiko Nishikawa , Manon Michel , Werner Krauth , Koji Hukushima
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