Thermodynamics of small superconductors with fixed particle number

Abstract

The Variation After Projection approach is applied for the first time to the pairing hamiltonian to describe the thermodynamics of small systems with fixed particle number. The minimization of the free energy is made by a direct diagonalization of the entropy. The Variation After Projection applied at finite temperature provides a perfect reproduction of the exact canonical properties of odd or even systems from very low to high temperature.

4 pages, 3 figures

References in corpus (6)

• Thermodynamics of pairing in mesoscopic systems
• Pairing interactions and the vanishing pairing correlations in hot nuclei
• Canonical and microcanonical ensemble descriptions of thermal pairing within BCS and quasiparticle RPA
• New Bardeen-Cooper-Schrieffer-type theory at finite temperature with particle-number conservation
• Description of Pairing correlation in Many-Body finite systems with density functional theory
• Nuclear energy functional with a surface-peaked effective mass: Global properties

Cited by in corpus (8)

• Symmetry assisted preparation of entangled many-body states on a quantum computer
• Pairing and specific heat in hot nuclei
• Particle-number projection in the finite-temperature mean-field approximation
• Pairing properties and specific heat of the inner crust of a neutron star
• Finite-temperature mean-field approximations for shell model Hamiltonians: the code HF-SHELL
• Projection after variation in the finite-temperature Hartree-Fock-Bogoliubov approximation
• Quantum computing of the pairing Hamiltonian at finite temperatures
• Mysterious dimensionality effect: the cancellation of the $N$-coboson correlation energy under a BCS-like potential