Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-08-04
Physical Review B 78, 174410 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
25 pages, 6 figures
Scientific paper
10.1103/PhysRevB.78.174410
Motivated by recent Monte-Carlo simulations of Hoglund and Sandvik (arXiv:0808.0408), we study edge response in square lattice quantum antiferromagnets. We use the O(3) non-linear sigma-model to compute the decay asymptotics of the staggered magnetization, energy density and local magnetic susceptibility away from the edge. We find that the total edge susceptibility is negative and diverges logarithmically as the temperature vanishes. We confirm the predictions of the continuum theory by performing a 1/S expansion of the microscopic Heisenberg model with the edge. We propose a qualitative explanation of the edge dimerization seen in Monte-Carlo simulations by a theory of valence-bond-solid correlations in the Neel state. We also discuss the extension of the latter theory to the response of a single non-magnetic impurity, and its connection to the theory of the deconfined critical point.
Metlitski Max A.
Sachdev Subir
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