Effects of next-nearest-neighbor hopping on the hole motion in an antiferromagnetic background

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.51.8337· OSTI ID:6450235

Schiller, A; Kumar, P ^[1]; Strack, R; Vollhardt, D ^[2]

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1. National High Magnetic Field Laboratory and Department of Physics, The University of Florida, Gainesville, Florida 32611 (United States)
2. Institut fuer Theoretische Physik C, Technische Hochschule Aachen, Templergraben 55, D-52056 Aachen (Germany)

In this paper we study the effect of next-nearest-neighbor hopping on the dynamics of a single hole in an antiferromagnetic (Neel) background. In the framework of large dimensions the Green function of a hole can be obtained exactly. The exact density of states of a hole is thus calculated in large dimensions and on a Bethe lattice with large coordination number. We suggest a physically motivated generalization to finite dimensions (e.g., 2 and 3). In [ital d]=2 we present also the momentum-dependent spectral function. With varying degree, depending on the underlying lattice involved, the discrete spectrum for holes is replaced by continuum background and a few resonances at the low-energy end. The latter are the remanents of the bound states of the [ital t]-[ital J] model. Their behavior is still largely governed by the parameters [ital t] and [ital J]. The continuum excitations are more sensitive to the energy scales [ital t] and [ital t][sub 1].

• DOE Contract Number: FG05-91ER45462
• OSTI ID: 6450235
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 51:13; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665400* -- Quantum Physics Aspects of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETIC MATERIALS
CRYSTAL MODELS
ENERGY-LEVEL DENSITY
FUNCTIONS
GREEN FUNCTION
HIGH-TC SUPERCONDUCTORS
HOLE MOBILITY
MAGNETIC MATERIALS
MANY-DIMENSIONAL CALCULATIONS
MATERIALS
MATHEMATICAL MODELS
MEAN-FIELD THEORY
MOBILITY
SUPERCONDUCTORS