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- The ground state of the Heisenberg model depends on the sign of the coupling constant and the dimension of the space. For positive coupling, the ground state is always ferromagnetic. For negative coupling, the ground state is antiferromagnetic in two and three dimensions1. In a 2D square lattice, the ground state is an in-phase Néel flux phase, which is a coexisting state of the flux phase with in-phase orbital currents and a long-range antiferromagnetic spin order2.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.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_modelThe ground state of the Heisenberg model in a 2D square lattice is found to be an in-phase Néel flux phase, i.e., a coexisting state of the flux phase with in-phase orbital currents and a long-range antiferromagnetic spin order.link.aps.org/doi/10.1103/PhysRevB.43.3786
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See all on WikipediaQuantum Heisenberg model - Wikipedia
XXX model. 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. See more
The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic … See more
For quantum mechanical reasons (see exchange interaction or Magnetism § Quantum-mechanical origin of magnetism), the dominant coupling between two dipoles may cause … See more
• Another important object is entanglement entropy. One way to describe it is to subdivide the unique ground state into a block (several sequential spins) and the environment (the rest … See more
Wikipedia text under CC-BY-SA license The Heisenberg model - Book chapter - IOPscience
WebThe ground state of this four-site Heisenberg model is given by with energy E 0 = −2 J (which is quite different from the Néel state). is a superposition of two states with parallel …
- Studies of heisenberg model ground state
Web(such as the nature of its ground state and excitations) without dwelling more on the origin of the model itself. 1.3 Ferro- and antiferromagnetic order Let us discuss the behavior of …
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
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 …
WebGround state of ferromagnet. At T=0, all moments aligned parallel, i.e., total moment NS → |NS,NS> Rewrite Heisenberg Hamiltonian using raising and lowering operators: …
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...
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 …
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, …
Theory of ground states for classical Heisenberg spin systems IV
WebOct 1, 2017 · Abstract: We extend the theory of ground states of classical Heisenberg spin systems previously published to the case where the interaction with an external magnetic …
Phys. Rev. B 100, 134434 (2019) - Spin-$\frac{1}{2}$ XXZ …
WebOct 28, 2019 · We extract ground-state properties as well as the low-lying spectrum from the fixed-point tensors. With rather moderate numerical effort we achieve a very good …
WebIn particular, given the ground state amplitudes, we reconstruct the signs of the wave functions of a fully-connected random Heisenberg model and the antiferromagnetic …
Ground States of the Heisenberg Model | SpringerLink
WebAbstract. In Section 3.2, the antiferromagnetic Heisenberg model of spin half emerged as an effective Hamiltonian for Mott insulators. In general, the Heisenberg Hamiltonian is a …
Quantum dynamics of the square-lattice Heisenberg model
WebOct 1, 2018 · Received 6 July 2018. Revised 12 September 2018. DOI: https://doi.org/10.1103/PhysRevB.98.155102. ©2018 American Physical Society. Physics …
WebThe Heisenberg model is a sum of terms acting on a pair of nearest neighbor tensor factors. The Majumdar-Ghosh model deals with next-nearest neighbor spins, and is a …
Nature of the Spin-Liquid Ground State of the $S=1/2
WebAug 7, 2012 · Nature of the Spin-Liquid Ground State of the S = 1 / 2 Heisenberg Model on the Kagome Lattice. Stefan Depenbrock, Ian P. McCulloch, and Ulrich Schollwöck. Phys. …
Ground state of the two-dimensional antiferromagnetic …
WebFeb 1, 1991 · The ground state of the Heisenberg model in a 2D square lattice is found to be an in-phase Néel flux phase, i.e., a coexisting state of the flux phase with in-phase …
Systematic determination of a material’s magnetic ground state …
WebJan 23, 2024 · Effective models such as the Heisenberg model are commonly employed to understand magnetic interactions and predict magnetic phases in materials 8, 9. These …
[1208.1512] General method for finding ground state manifold of ...
WebAug 7, 2012 · General method for finding ground state manifold of classical Heisenberg model. Zhaoxi Xiong, Xiao-Gang Wen. We investigate classical Heisenberg models …
Ground-State: Heisenberg model — NetKet - Read the Docs
WebThe goal of this tutorial is to review various neural network architectures available in NetKet, in order to learn the ground-state of a paradigmatic spin model: the spin-\(1/2\) …
Why is the ground state energy of the Heisenberg XXZ Model …
WebNov 28, 2014 · Why is the ground state energy of the Heisenberg XXZ Model unbounded for some values of J J? Ask Question. Asked 9 years, 5 months ago. Modified 9 years, 5 …
Measuring the Boundary Gapless State and Criticality via …
WebMay 17, 2024 · J 1 − J 2 Heisenberg model on the square-octagon lattice. There are two different measurement region M ’s (orange region) for disorder operator on the edge, …
Scalable Quantum Ground State Preparation of the Heisenberg …
WebAug 23, 2023 · Scalable Quantum Ground State Preparation of the Heisenberg Model: A Variational Quantum Eigensolver Approach. Jinao Wang, Rimika Jaiswal. Quantum …
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 available …
Web1 day ago · small but finite non-magnetic ground state phase in the S = 1 pyrochlore Heisenberg model. In general, our studies demonstrate the capabilities of state-of-the …
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