Hole dynamics in a strongly correlated two-dimensional spin background

Journal Article · Tue Oct 15 04:00:00 EDT 1991 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.44.8473· OSTI ID:5161279

Fehske, H; Waas, V; Roeder, H; Buettner, H ^[1]

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1. Physikalisches Institut, Universitaet Bayreuth, D-8580 Bayreuth (Germany, DE)

In this paper we present results of finite-lattice studies of the {ital t}-{ital J} and the {ital t}-{ital t}{prime}-{ital J} model for 18 (20) sites with up to 4 (2) holes. A modified Lanczos algorithm allowed for the classification of the ground state according to total spin {ital S}. In the one-hole sector we find evidence for the existence of hole pockets. We calculate the effective quasiparticle band and show qualitative differences between the {ital t}-{ital J} and {ital t}-{ital t}{prime}-{ital J} model for {ital J}{approx gt}0.2. As {ital U} increases we notice a substantial band narrowing, which is maximal at the Nagaoka transition, accompanied by {ital S}-level crossings rendering a quasiparticle description difficult. In the high-doping regime we present hole binding energies for up to six holes for the {ital t}-{ital J} model. Evidence for phase separation is only found for {ital J}{gt}{ital t}. We also studied the magnetic structure of the ground state on the 18-site lattice in the limit {ital J}=0. We present a complete ground-state classification for all numbers of holes {ital N}{sub {ital h}} and find {ital S}={ital S}{sub max} at quarter filling in addition to the Nagaoka case.

• OSTI ID: 5161279
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 44:16; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

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