Tensor network method for solving the Ising model with a magnetic field

• URL: http://arxiv.org/abs/2501.01098v1
• Date: Thu, 02 Jan 2025 06:46:29 GMT
• Title: Tensor network method for solving the Ising model with a magnetic field
• Authors: Myung-Hoon Chung,
• Abstract summary: We study the two-dimensional square lattice Ising ferromagnet and antiferromagnet with a magnetic field by using tensor network method. We present the numerical result of magnetization and entanglement entropy for the Ising ferromagnet and antiferromagnet side by side.
• Score: 0.0
• License:
• Abstract: We study the two-dimensional square lattice Ising ferromagnet and antiferromagnet with a magnetic field by using tensor network method. Focusing on the role of guage fixing, we present the partition function in terms of a tensor network. The tensor has a different symmetry property for ferromagnets and antiferromagnets. The tensor network of the partition function is interpreted as a multiple product of the one-dimensional quantum Hamiltonian. We perform infinite density matrix renormalization group to contract the two-dimensional tensor network. We present the numerical result of magnetization and entanglement entropy for the Ising ferromagnet and antiferromagnet side by side. In order to determine the critical line in the parameter space of temperature and magnetic field, we use the half-chain entanglement entropy of the one-dimensional quantum state. The entanglement entropy precisely indicates the critical line forming the parabolic shape for the antiferromagnetic case, but shows the critical point for the ferromagnetic case.

Related papers

• Anisotropy-induced spin parity effects [0.0]
  A dichotomy in the physical behavior of a system arises, solely depending on whether the relevant spin quantum number is integral or half-odd integral. Here, we put forth a simple and general scheme for generating such effects in any spatial dimension through the use of anisotropic interactions. We demonstrate its utility through a detailed analysis of the magnetization behavior of a specific one-dimensional spin chain model, an anisotropic antiferromagnet in a transverse magnetic field.
  arXiv  Detail & Related papers  (2024-02-29T16:15:43Z)
• Unveiling Exotic Magnetic Phases in Fibonacci Quasicrystalline Stacking of Ferromagnetic Layers through Machine Learning [0.0]
  We study a Fibonacci quasicrystalline stacking of ferromagnetic layers, potentially realizable using van der Waals magnetic materials. We construct a model of this magnetic heterostructure, that displays a complex relationship between geometric frustration and magnetic order in this quasicrystalline system. We employ a machine learning approach, which proves to be a powerful tool in revealing the complex magnetic behavior of this system.
  arXiv  Detail & Related papers  (2023-07-29T19:03:12Z)
• Two-dimensional lattice with an imaginary magnetic field [0.0]
  We introduce a two-dimensional non-Hermitian lattice model with an imaginary magnetic field. We show that the energy spectrum does not converge as lattice size is made larger, which comes from the intrinsic nonperiodicity of the model. We also find an analog of the Aharonov-Bohm effect; the net change of the norm of the wave function upon adiabatically forming a closed path is determined by the imaginary magnetic flux enclosed by the path.
  arXiv  Detail & Related papers  (2023-07-27T05:50:24Z)
• Semiclassical study of single-molecule magnets and their quantum phase transitions [0.0]
  We study systems of single-molecule magnets using a semiclassical analysis and catastrophe theory. Separatrices in parameter space are constructed which are useful to determine the structure of the Hamiltonians energy levels.
  arXiv  Detail & Related papers  (2023-06-20T07:58:10Z)
• Modular nanomagnet design for spin qubits confined in a linear chain [0.0]
  We present a design aimed at driving spin qubits arranged in a linear chain. Nanomagnets are placed laterally to one side of the qubit chain, one nanomagnet per two qubits. The longitudinal and stray field components serve as addressability and driving fields.
  arXiv  Detail & Related papers  (2022-12-22T11:17:32Z)
• Understanding the propagation of excitations in quantum spin chains with different kind of interactions [68.8204255655161]
  It is shown that the inhomogeneous chains are able to transfer excitations with near perfect fidelity. It is shown that both designed chains have in common a partially ordered spectrum and well localized eigenvectors.
  arXiv  Detail & Related papers  (2021-12-31T15:09:48Z)
• Dispersive readout of molecular spin qudits [68.8204255655161]
  We study the physics of a magnetic molecule described by a "giant" spin with multiple $d > 2$ spin states. We derive an expression for the output modes in the dispersive regime of operation. We find that the measurement of the cavity transmission allows to uniquely determine the spin state of the qudits.
  arXiv  Detail & Related papers  (2021-09-29T18:00:09Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite [50.591267188664666]
  We reveal a rich ground state phase diagram even at the classical level. The presented model opens a new direction in the study of kagome antiferromagnets.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Surpassing the Energy Resolution Limit with ferromagnetic torque sensors [55.41644538483948]
  We evaluate the optimal magnetic field resolution taking into account the thermomechanical noise and the mechanical detection noise at the standard quantum limit. We find that the Energy Resolution Limit (ERL), pointed out in recent literature, can be surpassed by many orders of magnitude.
  arXiv  Detail & Related papers  (2021-04-29T15:44:12Z)
• Superradiant phase transition in complex networks [62.997667081978825]
  We consider a superradiant phase transition problem for the Dicke-Ising model. We examine regular, random, and scale-free network structures.
  arXiv  Detail & Related papers  (2020-12-05T17:40:53Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.