Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body Approach
We explore the low-temperature thermodynamic properties and crossovers of a d-dimensional classical planar Heisenberg ferromagnet in a longitudinal magnetic field close to its field-induced zero-temperature critical point by employing the two-time Green’s function formalism in classical statistical...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Condensed Matter Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/619513 |
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| author | L. S. Campana A. Cavallo L. De Cesare U. Esposito A. Naddeo |
| author_facet | L. S. Campana A. Cavallo L. De Cesare U. Esposito A. Naddeo |
| author_sort | L. S. Campana |
| collection | DOAJ |
| description | We explore the low-temperature thermodynamic properties and crossovers of a d-dimensional classical planar Heisenberg ferromagnet in a longitudinal magnetic field close to its field-induced zero-temperature critical point by employing the two-time Green’s function formalism in classical statistical mechanics. By means of a classical Callen-like method for the magnetization and the Tyablikov-like decoupling procedure, we obtain, for any d, a low-temperature critical scenario which is quite similar to the one found for the quantum counterpart. Remarkably, for d>2 the discrimination between the two cases is found to be related to the different values of the shift exponent which governs the behavior of the critical line in the vicinity of the zero-temperature critical point. The observation of different values of the shift-exponent and of the related critical exponents along thermodynamic paths within the typical V-shaped region in the phase diagram may be interpreted as a signature of emerging quantum critical fluctuations. |
| format | Article |
| id | doaj-art-acc669baf9974617a27b29167ac5de00 |
| institution | Kabale University |
| issn | 1687-8108 1687-8124 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Condensed Matter Physics |
| spelling | doaj-art-acc669baf9974617a27b29167ac5de002025-02-03T05:44:02ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242012-01-01201210.1155/2012/619513619513Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body ApproachL. S. Campana0A. Cavallo1L. De Cesare2U. Esposito3A. Naddeo4Dipartimento di Scienze Fisiche, Università degli Studi di Napoli “Federico II”, Piazzale Tecchio 80, 80125 Napoli, ItalyDipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno, Via Ponte don Melillo, 84084 Fisciano, ItalyDipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno, Via Ponte don Melillo, 84084 Fisciano, ItalyDipartimento di Scienze Fisiche, Università degli Studi di Napoli “Federico II”, Piazzale Tecchio 80, 80125 Napoli, ItalyDipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno, Via Ponte don Melillo, 84084 Fisciano, ItalyWe explore the low-temperature thermodynamic properties and crossovers of a d-dimensional classical planar Heisenberg ferromagnet in a longitudinal magnetic field close to its field-induced zero-temperature critical point by employing the two-time Green’s function formalism in classical statistical mechanics. By means of a classical Callen-like method for the magnetization and the Tyablikov-like decoupling procedure, we obtain, for any d, a low-temperature critical scenario which is quite similar to the one found for the quantum counterpart. Remarkably, for d>2 the discrimination between the two cases is found to be related to the different values of the shift exponent which governs the behavior of the critical line in the vicinity of the zero-temperature critical point. The observation of different values of the shift-exponent and of the related critical exponents along thermodynamic paths within the typical V-shaped region in the phase diagram may be interpreted as a signature of emerging quantum critical fluctuations.http://dx.doi.org/10.1155/2012/619513 |
| spellingShingle | L. S. Campana A. Cavallo L. De Cesare U. Esposito A. Naddeo Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body Approach Advances in Condensed Matter Physics |
| title | Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body Approach |
| title_full | Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body Approach |
| title_fullStr | Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body Approach |
| title_full_unstemmed | Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body Approach |
| title_short | Thermodynamics of the Classical Planar Ferromagnet Close to the Zero-Temperature Critical Point: A Many-Body Approach |
| title_sort | thermodynamics of the classical planar ferromagnet close to the zero temperature critical point a many body approach |
| url | http://dx.doi.org/10.1155/2012/619513 |
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