Large N limit of the exactly solvable BCS model: analytics versus numerics

Details Large N limit of the exactly solvable BCS model: analytics versus numerics Large N limit of the exactly solvable BCS model: analytics versus numerics

2002-02-05

arxiv.org/abs/cond-mat/0202070v2

Nucl.Phys.B634:483-510,2002

Physics

Condensed Matter

Superconductivity

Revtex 4 file. 24 pages with 13 figures in text. Minor changes, references added

Scientific paper

10.1016/S0550-3213(02)00317-6

We have studied the numerical solutions of Richardson equations of the BCS model in the limit of large number of energy levels at half-filling, and compare them with the analytic results derived by Gaudin and Richardson, which in turn leads to the standard BCS solution. We focus on the location and density of the roots, the eigenvalues of the conserved quantities, and the scaling properties of the total energy for the equally spaced and the two-level models.

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