Single-hole effective masses in the t - J model

Journal Article · Thu Nov 01 04:00:00 EST 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.42.8445· OSTI ID:6038669

Zotos, X ^[1]; Prelovsek, P; Sega, I ^[2]

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1. Institut fuer Theorie der Kondensierten Materie, Universitaet Karlsruhe, Postfach 6980, Karlsruhe (Federal Republic of Germany)
2. J. Stefan Institute, University of Ljubljana, 61111 Ljubljana (Yugoslavia)

The ground state of a single hole in the one- and two-dimensional {ital t}-{ital J} model is studied for finite systems as a function of the phase in the kinetic energy term. The coherent effective hopping {Tc}{sup *} and the incoherent hopping {ital t}{sub {ital i}}{sup *}, evaluated in this way, are connected via the conductivity sum rule. It is shown that for even and odd chains {Tc}{sup *}{approximately}{ital t}{sub {ital i}}{sup *}, while their reduction from the free value {ital t} remains small even for large {ital J}/{ital t}. The Bethe ansatz solution, obtained for {ital J}=2{ital t}, is consistent with the latter result, yielding {ital t}{sub {ital c}}{sup *}/{ital t}{approximately}0.938. In the 4{times}4 system, the phase variation yields a nontrivial energy manifold. The minimum appears to be near the ({pi}/2,{pi}/2){minus}({pi},0) line in the Brillouin zone for {ital J}/{ital t}{lt}1, while moving towards the ({pi}/2,{pi}/2){minus}({pi},{pi}) line for {ital J}/{ital t}{much gt}1.

• OSTI ID: 6038669
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 42:13; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETISM
BRILLOUIN ZONES
CRYSTAL LATTICES
CRYSTAL STRUCTURE
EFFECTIVE MASS
ENERGY LEVELS
GROUND STATES
HOLES
MAGNETISM
MASS
PHASE TRANSFORMATIONS
SUPERCONDUCTORS
ZONES