Spectral density method applied to the study of the energy spectrum of the XY model in a transverse field

The energy spectrum of the XY model in a transverse field is studied by the spectral density method (SDM), using polar and Gaussian „ansätze”︁. Expressions for the critical temperature and critical transverse field are obtained. It is shown that, within some approximations, the static properties of...

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Veröffentlicht in:Physica status solidi. B. Basic research 1986-06, Vol.135 (2), p.581-586
Hauptverfasser: Bernardes, L. A. B., Borges, O. N., Ribeiro, L. A. Amarante
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container_title Physica status solidi. B. Basic research
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creator Bernardes, L. A. B.
Borges, O. N.
Ribeiro, L. A. Amarante
description The energy spectrum of the XY model in a transverse field is studied by the spectral density method (SDM), using polar and Gaussian „ansätze”︁. Expressions for the critical temperature and critical transverse field are obtained. It is shown that, within some approximations, the static properties of this model are not modified by including damping effects in the elementary excitations. Unter Benutzung von polaren und Gadß „AnsätZen”︁ wird das Energiespektrum des XY‐Modells in einem transversalen Feld mittels der Spektraldichtemethode (SDM) untersucht. Ausdrücke für die kritische Temperatur und das kritische transversale Feld werden erhalten. Es wird gezeigt, daß, im Rahmen einiger Näherungen, die statischen Eigenschaften dieses Modells durch Einschluß von Dämpfungseinflüssen in den Elementaranregungen nicht modifiziert werden.
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subjects Condensed matter: electronic structure, electrical, magnetic, and optical properties
Exact sciences and technology
General theory and models of magnetic ordering
Magnetic properties and materials
Physics
Quantized spin models
title Spectral density method applied to the study of the energy spectrum of the XY model in a transverse field
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