Vidal Yunge, Andy Alexis (2023) The extended non-chiral 1+1 dimensional Sachdev-Ye-Kitaev model. [Tesi di dottorato]
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| Tipologia del documento: | Tesi di dottorato |
|---|---|
| Lingua: | English |
| Titolo: | The extended non-chiral 1+1 dimensional Sachdev-Ye-Kitaev model |
| Autori: | Autore Email Vidal Yunge, Andy Alexis a.vidal05@ufromail.cl |
| Data: | 10 Marzo 2023 |
| Numero di pagine: | 107 |
| Istituzione: | Università degli Studi di Napoli Federico II |
| Dipartimento: | Fisica |
| Dottorato: | Fisica |
| Ciclo di dottorato: | 35 |
| Coordinatore del Corso di dottorato: | nome email Canale, Vincenzo canale@na.infn.it |
| Tutor: | nome email Tagliacozzo, Arturo [non definito] De Martino, Alessandro [non definito] |
| Data: | 10 Marzo 2023 |
| Numero di pagine: | 107 |
| Parole chiave: | Low dimensional field theory, Non-fermi liquid many body system, Conformal field theory |
| Settori scientifico-disciplinari del MIUR: | Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici |
| Depositato il: | 15 Mar 2023 11:02 |
| Ultima modifica: | 10 Apr 2025 13:01 |
| URI: | http://www.fedoa.unina.it/id/eprint/15110 |
Abstract
We study the 1+1 (space-time) dimensional extension of the 0+1 dimensional Sachdev-Ye-Kitaev (SYK) model for N Majorana fermions, with random all-to-all quartic interactions, averaged over disorder. At large effective couplings J and Q, and large N, the conformal symmetry of the effective action emerges, which is not broken spontaneously as in the original 0+1 d SYK model. Critical two-point correlators are obtained from a coupling expansion of the Schwinger-Dyson equations. For N=4, the model can be mapped onto complex fermions and solved exactly via the bosonization technique. The model separates in two sectors, nicknamed as “pseudo-charge” and “pseudo-spin“, with gapped and gapless excitations, respectively. Excitations allow to give an approximate analytic form of the two-point correlators at large distances, which is adopted heuristically to numerically evaluate the Ground State Energy of the large N model. Absolute minimum of the energy is found in a restricted range of parameters.
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