dorsal/arxiv
View Schema$D$-dimensions Dirac fermions BEC-BCS cross-over thermodynamics
| Authors | Ji-sheng Chen |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0608063 |
| URL | https://arxiv.org/abs/nucl-th/0608063 |
| DOI | 10.1088/0253-6102/48/1/022 |
| Journal | Commun.Theor.Phys.48 (2007) 99-106 |
Abstract
An effective Proca Lagrangian action is used to address the vector condensation Lorentz violation effects on the equation of state of the strongly interacting fermions system. The interior quantum fluctuation effects are incorporated as an external field approximation indirectly through a fictive generalized Thomson Problem counterterm background. The general analytical formulas for the $d$-dimensions thermodynamics are given near the unitary limit region. In the non-relativistic limit for $d=3$, the universal dimensionless coefficient $\xi ={4}/{9}$ and energy gap $\Delta/\epsilon_f ={5}/{18}$ are reasonably consistent with the existed theoretical and experimental results. In the unitary limit for $d=2$ and T=0, the universal coefficient can even approach the extreme occasion $\xi=0$ corresponding to the infinite effective fermion mass $m^*=\infty$ which can be mapped to the strongly coupled two-dimensions electrons and is quite similar to the three-dimensions Bose-Einstein Condensation of ideal boson gas. Instead, for $d=1$, the universal coefficient $\xi$ is negative, implying the non-existence of phase transition from superfluidity to normal state. The solutions manifest the quantum Ising universal class characteristic of the strongly coupled unitary fermions gas.
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"abstract": "An effective Proca Lagrangian action is used to address the vector\ncondensation Lorentz violation effects on the equation of state of the strongly\ninteracting fermions system. The interior quantum fluctuation effects are\nincorporated as an external field approximation indirectly through a fictive\ngeneralized Thomson Problem counterterm background. The general analytical\nformulas for the $d$-dimensions thermodynamics are given near the unitary limit\nregion. In the non-relativistic limit for $d=3$, the universal dimensionless\ncoefficient $\\xi ={4}/{9}$ and energy gap $\\Delta/\\epsilon_f ={5}/{18}$ are\nreasonably consistent with the existed theoretical and experimental results. In\nthe unitary limit for $d=2$ and T=0, the universal coefficient can even\napproach the extreme occasion $\\xi=0$ corresponding to the infinite effective\nfermion mass $m^*=\\infty$ which can be mapped to the strongly coupled\ntwo-dimensions electrons and is quite similar to the three-dimensions\nBose-Einstein Condensation of ideal boson gas. Instead, for $d=1$, the\nuniversal coefficient $\\xi$ is negative, implying the non-existence of phase\ntransition from superfluidity to normal state. The solutions manifest the\nquantum Ising universal class characteristic of the strongly coupled unitary\nfermions gas.",
"arxiv_id": "nucl-th/0608063",
"authors": [
"Ji-sheng Chen"
],
"categories": [
"nucl-th",
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"doi": "10.1088/0253-6102/48/1/022",
"journal_ref": "Commun.Theor.Phys.48 (2007) 99-106",
"title": "$D$-dimensions Dirac fermions BEC-BCS cross-over thermodynamics",
"url": "https://arxiv.org/abs/nucl-th/0608063"
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