Thermodynamic signatures of an underlying quantum phase transition: A grand canonical approach
| Autor: | Jimenez, Kevin, Reslen, Jose |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Physics Letters A 380, 2603 (2016) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physleta.2016.06.008 |
| Popis: | The grand canonical formalism is employed to study the thermodynamic structure of a model displaying a quantum phase transition when studied with respect to the canonical formalism. A numerical survey shows that the grand partition function diverges following a power law when the interaction parameter approaches a limiting constant. The power-law exponent takes a distinctive value when such limiting constant coincides with the critical point of the subjacent quantum phase transition. An approximated expression for the grand partition function is derived analytically implementing a mean field scheme and a number of thermodynamic observables are obtained. The system observables show signatures that can be used to track the critical point of the underlying transition. This result provides a simple fact that can be exploited to verify the existence of a quantum phase transition avoiding the zero temperature regime. Comment: 6 pages, 2 figures. Comments or suggestions are welcome |
| Databáze: | arXiv |
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