Observation of Spin Gap in CaV2O5by NMR

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On Next‐Nearest‐Neighbor Interaction in Linear Chain. II

Chanchal K. Majumdar, Dipan K Ghosh (1969)

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Spin-ladders with spin gaps: A description of a class of cuprates

T. M. Rice, M. Sigrist, Sudha Gopalan (1993)

We investigate the magnetic properties of the Cu-O planes in stoichiometric Sr\(_{n-1}\)Cu\(_{n+1}\)O\(_{2n}\) (n=3,5,7,...) which consist of CuO double chains periodically intergrown within the CuO\(_2\) planes. The double chains break up the two-dimensional antiferromagnetic planes into Heisenberg spin ladders with \(n_r=\frac{1}{2}(n-1)\) rungs and \(n_l=\frac{1}{2}(n+1)\) legs and described by the usual antiferromagnetic coupling J inside each ladder and a weak and frustrated interladder coupling J\(^\prime\). The resulting lattice is a new two-dimensional trellis lattice. We first examine the spin excitation spectra of isolated quasi one dimensional Heisenberg ladders which exhibit a gapless spectra when \(n_r\) is even and \(n_l\) is odd ( corresponding to n=5,9,...) and a gapped spectra when \(n_r\) is odd and \(n_l\) is even (corresponding to n=3,7,...). We use the bond operator representation of quantum \(S=\frac{1}{2}\) spins in a mean field treatment with self-energy corrections and obtain a spin gap of \(\approx \frac{1}{2} J\) for the simplest single rung ladder (n=3), in agreement with numerical estimates.

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Thermodynamics and spin gap of the Heisenberg ladder calculated by the look-ahead Lanczos algorithm

Diethelm Wuertz, Matthias Troyer, Hirokazu Tsunetsugu (1994)

We have developed an improved version of the quantum transfer matrix algorithm. The extreme eigenvalues and eigenvectors of the transfer matrix are calculated by the recently developed look-ahead Lanczos algorithm for non-Hermitian matrices with higher efficiency and accuracy than by the power method. We have applied this method to the Heisenberg ladder. The temperature dependence of the susceptibility, specific heat, correlation length and nuclear spin relaxation rate \(1/T_1\) are calculated. Our results support the existence of a spin gap of about \(0.5 J\). The preprint is submitted as a uuencoded compressed PostScript file. In case of printing problems the original TeX file (without figures) can be retrieved by anonymous ftp to 'maggia.ethz.ch' filename 'CSSP/preprints/hblad.tex'. Alternatively from June 1, 1994 by WWW: URL "http://www.ips.id.ethz.ch/CSSP/preprints.html"