Pair Excitations, Collective Modes and Gauge Invariance in the BCS -- Bose-Einstein Crossover Scenario
| dc.creator | Kosztin, Ioan | |
| dc.creator | Chen, Qijin | |
| dc.creator | Kao, Ying-Jer | |
| dc.creator | Levin, K. | |
| dc.date | 1999-06-14 | |
| dc.date.accessioned | 2026-07-07T03:13:40Z | |
| dc.date.available | 2026-07-07T03:13:40Z | |
| dc.description | In this paper we study the BCS Bose Einstein condensation (BEC) crossover scenario within the superconducting state, using a T-matrix approach which yields the ground state proposed by Leggett. Here we extend this ground state analysis to finite temperatures T and interpret the resulting physics. We find two types of bosonic-like excitations of the system: long lived, incoherent pair excitations and collective modes of the superconducting order parameter, which have different dynamics. Using a gauge invariant formalism, this paper addresses their contrasting behavior as a function of T and superconducting coupling constant g. At a more physical level, our paper emphasizes how, at finite T, BCS-BEC approaches introduce an important parameter Δ^2_{pg} = Δ^2 - Δ_{sc}^2 into the description of superconductivity. This parameter is governed by the pair excitations and is associated with particle-hole asymmetry effects which are important for sufficiently large g. In the fermionic regime, Δ_{pg}^2 represents the difference between the square of the excitation gap Δ^2 and that of the superconducting order parameter Δ_{sc}^2. The parameter Δ_{pg}^2, which is necessarily zero in the BCS (mean field) limit increases monotonically with the strength of the attractive interaction g. It follows that there is a significant physical distinction between this BCS-BEC crossover approach (in which g is the essential variable which determines Δ_{pg}) and the widely discussed (Coulomb-modulated) phase fluctuation scenario in which the plasma frequency is the tuning parameter. | |
| dc.description | RevTeX3.x, 22 pages, 6 EPS figures (included) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9906180 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9906180 | |
| dc.identifier | Phys. Rev. B 61, 11662 (2000). | |
| dc.identifier | doi:10.1103/PhysRevB.61.11662 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29387 | |
| dc.subject | Superconductivity | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Pair Excitations, Collective Modes and Gauge Invariance in the BCS -- Bose-Einstein Crossover Scenario | |
| dc.type | text |