Iterative analytic continuation of the electron self-energy to the real axis

Journal Article · Fri Apr 01 04:00:00 EST 1988 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.37.4965· OSTI ID:5183240

Marsiglio, F; Schossmann, M; Carbotte, J P

The electron Green's function in the superconducting state can be solved either at discrete Matsubara frequencies along the imaginary axis, or as a function of a continuous variable along the real frequency axis. The former is considerably more convenient to calculate than the latter. We derive a formally exact analytic continuation of the imaginary-axis solutions to the real frequency axis. The procedure is applicable to more general problems involving Green's functions. We apply our method to calculating the tunneling density of states for superconducting lead.

• Research Organization: Department of Physics, McMaster University, Hamilton, Ontario L8S)vertreverse arrowbar)4M1, Canada
• OSTI ID: 5183240
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 37:10; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360104 -- Metals & Alloys-- Physical Properties
656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ELECTRONS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY
ENERGY-LEVEL DENSITY
FERMIONS
FUNCTIONS
GORKOV-ELIASHBERG THEORY
GREEN FUNCTION
ITERATIVE METHODS
LEAD
LEPTONS
METALS
PHYSICAL PROPERTIES
SELF-ENERGY
SUPERCONDUCTIVITY
SUPERCONDUCTORS
TUNNEL EFFECT