Field-induced states and thermodynamics of the frustrated Heisenberg antiferromagnet on a square lattice

Abstract

We investigate the ground-state and finite-temperature properties of the $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice in the presence of an external magnetic field. We focus on the highly frustrated regime around $J_2\approx J_1/2$. The $h$-$T$ phase diagram is investigated with particular emphasis on the finite-temperature transition into the "up-up-up-down" state that is stabilized by thermal and quantum fluctuations and manifests itself as a plateau at one half of the saturation magnetization in the quantum case. We also discuss the enhanced magnetocaloric effect associated to the ground-state degeneracy that arises at the saturation field for $J_2=J_1/2$. For reference, we first study the classical case by classical Monte Carlo simulations. Then we turn to the extreme quantum limit of spin-1/2 where we perform zero- and finite-temperature Lanczos calculations.

15 pages including 12 (multi-panel) figures; legacy paper in honor of Johannes Richter; main changes in version 2: magnetization curves added to Fig. 3, Refs. [83,93,107,108,138] added; version 3 corrects errors that were discovered in two inline equations during production and replaces the source files of Fig. 12 with a more robust and compact version (no changes of content)

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