Susceptibility and Low Temperature Thermodynamics of Spin-1/2 Heisenberg Ladders

Abstract

The temperature dependence of the uniform susceptibility and the ground state energy of antiferromagnetic Heisenberg ladders with up to 6 legs has been calculated, using the Monte Carlo loop algorithm. The susceptibilities of even-leg-ladders show spin gaps while these of odd-leg-ladders remain finite in the zero temperature limit. For small ratios of intra- to inter-leg couplings, odd-leg-ladders can be mapped at low temperatures to single chains. For equal couplings, the logarithmic corrections at low temperatures increase markedly with the number of legs.

arXiv comment4 pages and 3 figures

References in corpus (9)

• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• Susceptibility of the Spin 1/2 Heisenberg Antiferromagnetic Chain
• Spin-ladders with spin gaps: A description of a class of cuprates
• Cluster Algorithm for Vertex Models
• Thermodynamics and spin gap of the Heisenberg ladder calculated by the look-ahead Lanczos algorithm
• Spin Gaps in Coupled t-J Ladders
• Scaling Theory of Antiferromagnetic Heisenberg Ladder Models
• The Loop-Cluster Algorithm for the Case of the 6 Vertex Model

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