Quantum Critical Phenomena, Entanglement Entropy and Hubbard Model in 1d with the Boundary Site with a Negative Chemical Potential -p and the Hubbard Coupling U Positive
| dc.creator | Hudak, O. | |
| dc.date | 2007-09-03 | |
| dc.date.accessioned | 2026-07-07T08:27:17Z | |
| dc.date.available | 2026-07-07T08:27:17Z | |
| dc.description | Recently the ground state and some excited states of the half-filled case of the 1d Hubbard model were discussed for an open chain with L sites. Authors considered the case when the boundary site has a negative chemical potential -p and the Hubbard coupling U is positive. They have shown by an analytic method that when p is larger than the transfer integral some of the ground-state solutions of the Bethe ansatz equations become complex-valued. They have found that there is a surface phase transition at some critical value p_c; when p < p_c all the charge excitations have the gap for this case, while there exists a massless charge mode when p > p_c. To find whether this surface phase transition is of the first order or of the second order we have used the entanglement entropy concept. The entropy and its derivative has a discontinuity there, so this transition is of the first order. | |
| dc.description | 1d Hubbard Model, Exact Solution and Entanglement Entropy, QCP | |
| dc.identifier | https://arxiv.org/abs/0709.0271 | |
| dc.identifier | http://arxiv.org/abs/0709.0271 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137223 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.subject | Other Condensed Matter | |
| dc.title | Quantum Critical Phenomena, Entanglement Entropy and Hubbard Model in 1d with the Boundary Site with a Negative Chemical Potential -p and the Hubbard Coupling U Positive | |
| dc.type | text |