Criticality and phase diagram of quantum long-range O(N) models
Several recent experiments in atomic, molecular, and optical systems motivated a huge interest in the study of quantum long-range systems. Our goal in this paper is to present a general description of their critical behavior and phases, devising a treatment valid in d dimensions, with an exponent d+...
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
22 September 2017
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| In: |
Physical review
Year: 2017, Jahrgang: 96, Heft: 10 |
| ISSN: | 2469-9969 |
| DOI: | 10.1103/PhysRevB.96.104432 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevB.96.104432 Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.96.104432 
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| Verfasserangaben: | Nicolò Defenu, Andrea Trombettoni, and Stefano Ruffo |
| Zusammenfassung: | Several recent experiments in atomic, molecular, and optical systems motivated a huge interest in the study of quantum long-range systems. Our goal in this paper is to present a general description of their critical behavior and phases, devising a treatment valid in d dimensions, with an exponent d+σ for the power-law decay of the couplings in the presence of an O(N) symmetry. By introducing a convenient ansatz for the effective action, we determine the phase diagram for the N-component quantum rotor model with long-range interactions, with N=1 corresponding to the Ising model. The phase diagram in the σ−d plane shows a nontrivial dependence on σ. As a consequence of the fact that the model is quantum, the correlation functions are anisotropic in the spatial and time coordinates for σ smaller than a critical value, and in this region the isotropy is not restored even at criticality. Results for the correlation length exponent ν, the dynamical critical exponent z, and a comparison with numerical findings for them are presented. |
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| Beschreibung: | Gesehen am 12.03.2018 |
| Beschreibung: | Online Resource |
| ISSN: | 2469-9969 |
| DOI: | 10.1103/PhysRevB.96.104432 |