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July 11, 2016

transverse field ising model notes

Before considering the exact solution of … Number 15, R B Stinchcombe 1973 J. Phys. Volume 6, Find out more. The computer you are using is not registered by an institution with a subscription to this article. If you have a user account, you will need to reset your password the next time you login. The perturbation series is classified with respect to the small parameter 1/z, where z is the number of psins interacting with a given spin; this generates the molecular-field approximation and the random-phase approximation as the lowest-order description of the thermodynamic functions and correlation functions respectively. For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. AB INITIO TREATMENTS OF THE ISING MODEL IN A TRANSVERSE FIELD R. F. BISHOP', D. J. J. FARNELL* and M. L. RISTIGt •Department of Physics, University of Manchester Institute of Science and Technology (UM/ST), P.O. Not affiliated I. Thermodynamics, The anisotropic Heisenberg ferromagnet with arbitrary field direction. Spectral functions and damping, Thermal and magnetic properties of the transverse Ising model, The anisotropic Heisenberg ferromagnet with arbitrary field direction. The Ising model with a transverse field is of some physical interest, because it corresponds to the pseudospin formulation of several phase transition problems and may be used to study order disorder ferroelectrics with a tunnelling effect [l], or the magnetic ordering in materials with singlet crystal field ground state. in quantum information sciences. BibTeX Purchase this article from our trusted document delivery partners. Below the discussion is restricted to the one dimensional case where each lattice site is a two-dimensional complex Hilbert space (i.e. Form and we will follow up with your librarian or Institution on your behalf. Following the duality of the two dimensional Ising model on square lattice, one can show the self-duality, and thereby make exact estimate of the critical tunnelling (transverse) field of the one-dimensional spin-1 / 2 transverse Ising model. This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. This service is more advanced with JavaScript available, Part of the Evidence for order-disorder character from greater entropy difference between ferro- electric and paraelectric phases add smaller Curie constant than in displacive ferroelectrics, such as double oxides with perovskite structure (Blinc and Svetina 1966a, b). For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. The leading-order approximations for the correlation functions, susceptibilities and spectral functions are discussed in detail. By continuing to use this site you agree to our use of cookies. Correlation functions, Thermodynamic properties of a Heisenberg antiferromagnet. II. The formalism, which is the first application of such techniques to systems with varying magnetization direction, provides a basis for subsequent higher-order calculations of the free energy and correlation functions. You do not need to reset your password if you login via Athens or an Institutional login. To find out more, see our, Browse more than 100 science journal titles, Read the very best research published in IOP journals, Read open access proceedings from science conferences worldwide, Published under licence by IOP Publishing Ltd, Journal of Physics C: Solid State Physics, Ising model in a transverse field.

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