Monte Carlo Study of Correlations in Quantum Spin Ladders

Journal Article · Thu Aug 01 04:00:00 EDT 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.77.1865· OSTI ID:390449

Greven, M; Birgeneau, R J; Wiese, U ^[1]

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1. Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

We study antiferromagnetic spin-1/2 Heisenberg ladders, comprised of {ital n}{sub {ital c}} chains (2{le}{ital n}{sub {ital c}}{le}6) with ratio {ital J}{sub {perpendicular}}/{ital J}{sub {parallel}} of interchain to intrachain couplings. The correlation length {xi}({ital T}) is deduced from measurements of the correlation function. For even {ital n}{sub {ital c}}, the static structure factor exhibits a peak at a temperature below the corresponding spin gap. Results for isotropically coupled ladders ({ital J}{sub {perpendicular}}/{ital J}{sub {parallel}}=1) are compared to those for the single chain and the square lattice. For {ital J}{sub {perpendicular}}/{ital J}{sub {parallel}}{le}0.5, the correlation function of the two-chain ladder is in excellent agreement with analytic results from conformal field theory, and {xi}({ital T}) exhibits simple scaling behavior. {copyright} {ital 1996 The American Physical Society.}

• DOE Contract Number: FC02-94ER40818
• OSTI ID: 390449
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANTIFERROMAGNETISM
CHAINS
CORRELATION LENGTH
CORRELATIONS
ENERGY GAP
HEISENBERG MODEL
MONTE CARLO METHOD
QUANTUM MECHANICS
SPIN
SPIN CORRELATIONS
STRUCTURE FACTORS
TEMPERATURE DEPENDENCE