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- The physics of the Heisenberg XXX model strongly depends on the sign of the coupling constant and the dimension of the space. For positive the ground state is always ferromagnetic. At negative the ground state is antiferromagnetic in two and three dimensions.
en.wikipedia.org/wiki/Quantum_Heisenberg_model - People also ask
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berg model as an interesting e ective model of interacting spins and explore its properties (such as the nature of its ground state and excitations) without dwelling more on the origin of the model itself.Symmetries of a Hamiltonian can be classi ed as discrete or continuous. A symmetry is discrete if the associated symmetry transformations form a discrete set. In contrast, a symmetry … See more
WEBThis chapter concentrates on two aspects of the ground state of the Heisenberg model. In Section 5.1, Marshall's theorems for the total spin and signs of the wave function are …
- Author: Assa Auerbach
- Publish Year: 1994
Quantum Heisenberg model - Wikipedia
For quantum mechanical reasons (see exchange interaction or Magnetism § Quantum-mechanical origin of magnetism), the dominant coupling between two dipoles may cause nearest-neighbors to have lowest energy when they are aligned. Under this assumption (so that magnetic interactions only occur between adjacent dipoles) and on a 1-dimensional periodic lattice, the Hamiltonian can be written in the form
Wikipedia · Text under CC-BY-SA licenseThe Heisenberg model - Book chapter - IOPscience
WEBAbstract. In chapter 1, the Heisenberg model is introduced and the ground state of the ferromagnet and the antiferromagnet is discussed. A short introduction to the Hubbard …
WEBWe discuss the ground state of the Heisenberg spin-1 2 chain in one dimension, considering nearest neighbor interactions. In the thermodynamic limit the energy is …
Ground States of the Antiferromagnetic Heisenberg Chains
WEBMay 8, 2020 · In the present chapter, we focus on properties of the ground state and low energy excited states of the one-dimensional antiferromagnetic Heisenberg model, often …
WEBThe state in which all spins align in the same direction is also an eigenstate of the Heisenberg model, because the flip-flop term has no effect on it. When the …
Ordered states in the Kitaev-Heisenberg model: From …
WEBJan 29, 2018 · We study the ground state of the 1D Kitaev-Heisenberg (KH) model using the density-matrix renormalization group and Lanczos exact diagonalization methods. We obtain a rich ground-state...
Certifying Ground-State Properties of Many-Body …
WEBJul 11, 2024 · In this work, we introduce a numerical scheme to derive upper and lower bounds on arbitrary ground-state observables for many-body quantum systems. This scheme can be systematically refined to …
Quantum dynamics of the square-lattice Heisenberg model
WEBOct 1, 2018 · By tuning toward the Heisenberg model from the exactly soluble Ising limit, we find that the strongly attractive magnon interactions of the latter naturally account for a …
WEBThe Heisenberg model named after Werner Heisen-berg is a mathematical model for describing mag-netic systems in condensed matter, and can be used to study critical …
Heisenberg Model - an overview | ScienceDirect Topics
WEBThe ground, triplet spin state, with the pair of parallel electron spins, is the magnetic state for a ferromagnet like iron, where the exchange energy interaction can model the …
Ground States of the Heisenberg Model | SpringerLink
WEBIn general, the Heisenberg Hamiltonian is a fundamental model for quantum magnetism, as weIl as other phenomena that can be effectively... In Section 3.2, the antiferromagnetic …
Ground state energy of infinite Heisenberg XXX model with open …
WEBNov 10, 2023 · The ground state energy for the one-dimensional spin-1/2 Heisenberg model can be obtained using Bethe ansatz methods. For periodic boundary conditions, …
[1710.00318] Theory of ground states for classical Heisenberg …
WEBOct 1, 2017 · We extend the theory of ground states of classical Heisenberg spin systems previously published to the case where the interaction with an external magnetic field is …
Ground-State: Heisenberg model — NetKet
WEBGround-State: Heisenberg model#. Author: Giuseppe Carleo and Filippo Vicentini (EPFL-CQSL) The goal of this tutorial is to review various neural network architectures …
Ground state properties of the Heisenberg-compass model on the …
WEBApr 2, 2024 · In this article, we explore the classical and quantum ground state properties of one such model relevant to certain layered perovskite materials akin to Ba$_2$IrO$_4$ - …
General method for finding ground state manifold of classical ...
WEBAug 7, 2012 · We demonstrate how the ground state manifold can be calculated analytically for all spectra with finite number of minima and some with extensive minima, …
Ground State Degeneracy in ferromagnetic Heisenberg model
WEBIt says, "The ground state (of Heisenberg FM model) is not unique. We have just found that the system has the maximum value of the total spin $S_{tot}= LS$. $S^{z}_{tot} = …
Ground-state properties of spin-1/2 Heisenberg antiferromagnets …
WEBOct 16, 2018 · In this study, we investigate the ground-state phase diagrams and properties of spin-1/2 Heisenberg models on the diamond-like-decorated square and …
Origin and fate of the pseudogap in the doped Hubbard model
WEB4 days ago · In this case, further work involving controlled ground-state studies will be necessary to clarify the fate of the pseudogap at low temperature, which remains an …
Spin-1 Heisenberg model, the AKLT model, and their ground states
WEBFeb 26, 2019 · (2) The AKLT model is a slightly modified Heisenberg model and hence the two models can be connected by an adiabatic transformation. (3) The AKLT model is …
Frustrated spin-1/2 Heisenberg model on a Kagome-strip chain ...
WEB3 days ago · We investigate the quantum phases of a frustrated antiferromagnetic Heisenberg spin-1/2 model Hamiltonian on a Kagome-strip chain (KSC), a one …
Modulation of electronic and magnetic characteristics of Ni and Cr ...
WEB2 days ago · This research delves into the magnetic properties of six transition metal dihalide monolayers including MX2 (M = Ni, Cr X = Cl, Br, I) using density functional …
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