[ital Kagome] spin-1/2 antiferromagnets in the hyperbolic plane

Journal Article · Mon Nov 01 00:00:00 EST 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.48.13647· OSTI ID:6129559

Elser, V; Zeng, C ^[1]

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1. Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501 (United States)

Spin-dimerized states are useful in the construction of spin-disordered wave functions but difficult to deal with because of nonorthogonality. For the spin-1/2 [ital kagome]$[ital aa]--- antiferromagnet, a systematic expansion of matrix elements of these nonorthogonal states is made possible by considering generalizations of the [ital kagome]$[ital aa]--- structure in the hyperbolic plane. The first nontrivial term in this expansion is an effective spin Hamiltonian which describes resonance among dimerized states. Minimum-energy states of the effective Hamiltonian correspond to a high degree of resonance among a small fraction of the dimers.

• OSTI ID: 6129559
• Journal Information: Physical Review, B: Condensed Matter; (United States), Vol. 48:18; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIFERROMAGNETIC MATERIALS
HAMILTONIANS
DIMERS
GROUND STATES
HELIUM 3
HIGH-TC SUPERCONDUCTORS
MATRIX ELEMENTS
RESONANCE
WAVE FUNCTIONS
ENERGY LEVELS
EVEN-ODD NUCLEI
FUNCTIONS
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL OPERATORS
NUCLEI
QUANTUM OPERATORS
STABLE ISOTOPES
SUPERCONDUCTORS
665400* - Quantum Physics Aspects of Condensed Matter- (1992-)