Physics – Condensed Matter
Scientific paper
1994-08-19
Physics
Condensed Matter
21 pages, 10 postscript figures, REVTEX version 3
Scientific paper
10.1088/0305-4470/27/22/009
The $S=1/2$, nearest-neighbor, quantum Heisenberg antiferromagnet on the square lattice with spatially anisotropic couplings is reconsidered, with particular attention to the following question: at T=0, does N\'eel orderdevelop at infinitesimal interchain coupling, or is there a nonzero critical coupling? A heuristic renormalization group argument is presented which suggests that previous theoretical answers to that question are incorrect or at least incomplete, and that the answer is not universal but rather depends on the microscopic details of the model under consideration. Numerical investigations of the nearest-neighbor model are carried out {\it via} zero-temperature series expansions about Ising and dimer Hamiltonians. The results are entirely consistent with a vanishing critical interchain coupling ratio $R_c$; if $R_c$ is finite, it is unlikely to substantially exceed 0.02.
Affleck Ian
Gelfand Martin P.
Singh Rajiv R. P.
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