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Exact diagonalization is a powerful numerical method to study isolated quantum many-body systems. This paper provides a review of numerical algorithms to diagonalize the Hamiltonian matrix. Symmetry and the conservation law help us perform…

Statistical Mechanics · Physics 2020-04-29 Jung-Hoon Jung , Jae Dong Noh

We study spin transport in the one-dimensional anisotropic S = 1 Heisenberg model. Particular emphasis is given to dynamics at infinite temperature, where current autocorrelations and spatio-temporal correlation functions are obtained by…

Statistical Mechanics · Physics 2019-10-16 Jonas Richter , Niklas Casper , Wolfram Brenig , Robin Steinigeweg

The anisotropic superconductivity and the density wave have been investigated by applying the Kadanoff-Wilson renormalization group technique to the quasi-one-dimensional system with finite-range interactions. It is found that a temperature…

Strongly Correlated Electrons · Physics 2009-11-10 Y. Fuseya , Y. Suzumura

The thermodynamic properties of a classical d-dimensional spin-S Heisenberg ferromagnet, with long-range interactions decaying as $r^{-p}$ and in the presence of an external magnetic field, is investigated by means of the spectral density…

Statistical Mechanics · Physics 2015-06-24 A. Cavallo , F. Cosenza , L. De Cesare

The dynamics of a trapped Bose-condensed gas at finite temperatures is described by a generalized Gross-Pitaevskii equation for the condensate order parameter and a semi-classical kinetic equation for the thermal cloud, solved using…

Statistical Mechanics · Physics 2009-11-07 B. Jackson , E. Zaremba

We adapt the block-Lanczos density-matrix renormalization-group technique to study the spin transport in a spin chain coupled to two non-interacting fermionic leads. As an example, we consider leads described by two-dimensional…

Strongly Correlated Electrons · Physics 2020-03-09 F. Lange , S. Ejima , T. Shirakawa , S. Yunoki , H. Fehske

The Kato-Bloch perturbation formalism is used to present a density-matrix renormalization-group (DMRG) method for strongly anisotropic two-dimensional systems. This method is used to study Heisenberg chains weakly coupled by the transverse…

Strongly Correlated Electrons · Physics 2009-11-10 S. Moukouri

Here, a dynamical Monte-Carlo (DMC) method is used to study temperature-dependent dynamical magnetization of famous Mn2Ni system as typical example of single-chain magnets with strong magnetic anisotropy. Simulated magnetization curves are…

Mesoscale and Nanoscale Physics · Physics 2015-05-21 Jun Li , Bang-Gui Liu

We compute the temperature-dependent spin-wave spectrum and the magnetization for a spin system using the unified decoupling procedure for the high-order Green's functions for the exchange coupling and anisotropy, both in the classical and…

Materials Science · Physics 2015-06-05 R. Bastardis , U. Atxitia , O. Chubykalo-Fesenko , H. Kachkachi

In this paper we introduce a new approach for calculating dynamical properties within the numerical renormalization group. It is demonstrated that the method previously used fails for the Anderson impurity in a magnetic field due to the…

Strongly Correlated Electrons · Physics 2009-10-31 Walter Hofstetter

We show that the high-temperature expansion of the free energy and arbitrary imaginary-time-ordered connected correlation functions of quantum spin systems can be recursively obtained from the exact renormalization group flow equation for…

Strongly Correlated Electrons · Physics 2024-10-15 Andreas Rückriegel , Dmytro Tarasevych , Jan Krieg , Peter Kopietz

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

Here we study thermodynamic properties of an important class of single-chain magnets (SCMs), where alternate units are isotropic and anisotropic with anisotropy axes being non-collinear. This class of SCMs shows slow relaxation at low…

Statistical Mechanics · Physics 2012-08-29 Shaon Sahoo , Jean-Pascal Sutter , S. Ramasesha

Thermal entanglement of a geometrically frustrated spin-1 Heisenberg diamond cluster is examined within the framework of the exact diagonalization method by computing the measure of entanglement negativity. The calculated exact analytical…

Statistical Mechanics · Physics 2023-01-13 Azadeh Ghannadan , Katarina Karlova , Jozef Strecka

The space- and time-dependent response of many-body quantum systems is the most informative aspect of their emergent behaviour. The dynamical structure factor, experimentally measurable using neutron scattering, can map this response in…

Strongly Correlated Electrons · Physics 2013-09-27 B. Lake , D. A. Tennant , J. -S. Caux , T. Barthel , U. Schollwöck , S. E. Nagler , C. D. Frost

We use the full-density matrix (FDM) numerical renormalization group (NRG) method to calculate the equilibrium dynamical correlation function $C(\omega)$ of the spin operator $\sigma_z$ at finite temperature for the sub-Ohmic spin-boson…

Strongly Correlated Electrons · Physics 2022-02-11 Ke Yang , Ning-Hua Tong

The competition between Hamiltonian and Lindblad dynamics in quantum systems give rise to non-equillibrium phenomena with no counter part in conventional condensed matter physics. In this paper, we investigate this interplay of dynamics in…

Quantum Physics · Physics 2024-01-31 Irfan A Dar , Faisal Farooq , Junaid Majeed , Mehboob Rashid , Sheikh Irfan , Muzaffar Qadir Lone

We discuss the theory and implementation of the finite temperature coupled cluster singles and doubles (FT-CCSD) method including the equations necessary for an efficient implementation of response properties. Numerical aspects of the…

Chemical Physics · Physics 2021-07-07 Alec F. White , Garnet Kin-Lic Chan

We consider the interaction-round-a-face version of the six-vertex model for arbitrary anisotropy parameter, which allow us to derive an integrable one-dimensional quantum Hamiltonian with three-spin interactions. We apply the quantum…

Mathematical Physics · Physics 2023-09-07 T. S. Tavares , G. A. P. Ribeiro

(Anti)-/ferromagnetic Heisenberg spin models arise from discretization of Landau-Lifshitz models in micromagnetic modelling. In many applications it is essential to study the behavior of the system at a fixed temperature. A formulation for…

Numerical Analysis · Mathematics 2025-10-20 Teijo Arponen , Ben Leimkuhler
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