Spectral function of a hole in the t - J model

Journal Article · Thu Aug 01 04:00:00 EDT 1991 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.44.2414· OSTI ID:5279733

Liu, Z; Manousakis, E ^[1]

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1. Department of Physics, Center for Materials Research and Technology Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida (USA)

We give numerical solutions, on finite but large-size square lattices, of the equation for the single-hole Green's function obtained by the self-consistent approach of Schmitt-Rink {ital et} {ital al}. and Kane {ital et} {ital al}. The spectral function of the hole in a quantum antiferromagnet shows that most features describing the hole motion are in close agreement with the results of the exact diagonalization on the 4{sup 2} lattice in the region of {ital J}/{ital t}{le}0.2. Our results obtained on sufficiently large-size lattices suggest that certain important features of the spectral function survive in the thermodynamic limit while others change due to finite-size effects. We find that the leading nonzero vertex correction is given by a two-loop diagram, which has a small contribution.

• OSTI ID: 5279733
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 44:5; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360204* -- Ceramics
Cermets
& Refractories-- Physical Properties
656100 -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALKALINE EARTH METAL COMPOUNDS
ANTIFERROMAGNETIC MATERIALS
ANTIFERROMAGNETISM
BISMUTH COMPOUNDS
BISMUTH OXIDES
CALCIUM COMPOUNDS
CALCIUM OXIDES
CHALCOGENIDES
COPPER COMPOUNDS
COPPER OXIDES
CRYSTAL MODELS
CRYSTALS
FUNCTIONS
GREEN FUNCTION
HEISENBERG MODEL
HIGH-TC SUPERCONDUCTORS
HOLES
MAGNETIC MATERIALS
MAGNETISM
MATERIALS
MATHEMATICAL MODELS
MONOCRYSTALS
NUMERICAL SOLUTION
OXIDES
OXYGEN COMPOUNDS
SPECTRAL FUNCTIONS
STRONTIUM COMPOUNDS
STRONTIUM OXIDES
SUPERCONDUCTORS
THERMODYNAMICS
TRANSITION ELEMENT COMPOUNDS
TWO-DIMENSIONAL CALCULATIONS
YTTRIUM COMPOUNDS
YTTRIUM OXIDES