86 citations · 447 across the 18 of their papers we have counts for
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Spin-S bilayer Heisenberg models: Mean-field arguments and numerical calculations
Martin P. Gelfand, Zheng Weihong, C. J. Hamer +1
Spin-S bilayer Heisenberg models (nearest-neighbor square lattice antiferromagnets in each layer, with antiferromagnetic interlayer couplings) are treated using dimer mean-field th…
Local susceptibilities in semi-infinite antiferromagnet chains: elementary perspectives
Martin P. Gelfand, Elisabeth F. Gloeggler
Using conformal field theory methods Eggert and Affleck have shown that the semi-infinite S=1/2 Heisenberg antiferromagnetic chain exhibits a remarkable alternation in its local re…
Convergent expansions for properties of the Heisenberg model for CaVO
M. P. Gelfand, Z. Weihong, R. R. P. Singh +2
We have carried out a wide range of calculations for the Heisenberg model with nearest- and second-neighbor interactions on a two-dimensional lattice which describes the ge…
Spin-wave excitation spectra and spectral weights in square lattice antiferromagnets
Rajiv R. P. Singh, Martin P. Gelfand
Using a recently developed method for calculating series expansions of the excitation spectra of quantum lattice models, we obtain the spin-wave spectra for square lattice, …
Series Expansions for Excited States of Quantum Lattice Models
Martin P. Gelfand
We show that by means of connected-graph expansions one can effectively generate exact high-order series expansions which are informative of low-lying excited states for quantum ma…
Phase Transitions in the Symmetric Kondo Lattice Model in Two and Three Dimensions
Zhu-Pei Shi, Rajiv R. P. Singh, Martin P. Gelfand +1
We present an application of high-order series expansion in the coupling constants for the ground state properties of correlated lattice fermion systems. Expansions have been gener…
Off-diagonal Interactions, Hund's Rules and Pair-binding in Hubbard Molecules
S. L. Sondhi, M. P. Gelfand, H. Q. Lin +1
We have studied the effect of including nearest-neighbor, electron-electron interactions, in particular the off-diagonal (non density-density) terms, on the spectra of truncated te…
A Plane of Weakly Coupled Heisenberg Chains: Theoretical Arguments and Numerical Calculations
Ian Affleck, Martin P. Gelfand, Rajiv R. P. Singh
The , nearest-neighbor, quantum Heisenberg antiferromagnet on the square lattice with spatially anisotropic couplings is reconsidered, with particular attention to the follo…
Off-Diagonal Long Range Order and Scaling in a Disordered Quantum Hall System
S. L. Sondhi, M. P. Gelfand
We have numerically studied the bosonic off-diagonal long range order, introduced by Read to describe the ordering in ideal quantum Hall states, for noninteracting electrons in ran…