Absence of gap for infinite half--integer spin ladders with an odd number of legs

Abstract

A proof is presented for the absence of gap for spin $1/2$ ladders with an odd number of legs, in the infinite leg length limit. This result is relevant to the current discussion of coupled one--dimensional spin systems, a physical realization of which are vanadyl pyrophosphate, (VO)${}_2$P${}_2$O${}_7$, and stoichiometric Sr${}_{n-1}$ Cu${}_{n+1}$ O${}_{2n}$ (with $n=3,5,7,9,\dots$).

REVTeX, 8 pages

References in corpus (4)

• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• Spin-ladders with spin gaps: A description of a class of cuprates
• Strong Coupling Expansions for Antiferromagnetic Heisenberg S=1/2 Ladders
• Singlet pairing in the double chain t-J model

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• Correlations and Néel Order of Randomly Diluted Quantum Spin Ladders
• N-leg integer-spin ladders and tubes in commensurate external fields -Nonlinear sigma model approach-
• Magnon bands of N-leg integer-spin antiferromagnetic systems in the weak interchain-coupling regime
• Antiferromagnetic Spin Ladders with Odd and Even number of Chains
• Phase transitions in the boson-fermion resonance model in one dimension
• Frustration-induced exotic properties of magnetic molecules