Anisotropic Field-Induced Gap in Quasi-One-Dimensional Antiferromagnet KCuMoO$_4$(OH)

TL;DR

This study reveals how magnetic fields induce anisotropic gaps in the spin excitation spectrum of the quasi-one-dimensional antiferromagnet KCuMoO$_4$(OH), explained by staggered g-tensors and Dzyaloshinsky-Moriya interactions, aligning with quantum sine-Gordon model predictions.

Contribution

It demonstrates the field-induced anisotropic gap in a quasi-1D antiferromagnet and explains it through effective staggered fields from g-tensors and DM interactions, supported by heat capacity and magnetization data.

Findings

Magnetization and heat capacity measurements confirm a field-induced gap.

The gap behavior aligns with quantum sine-Gordon model predictions.

Staggered field ratios vary significantly with field direction, explained by g-tensors and DM interactions.

Abstract

We investigated magnetic and thermodynamic properties of $S$ = 1/2 quasi-one-dimensional antiferromagnet KCuMoO$_4$(OH) through single crystalline magnetization and heat capacity measurements. At zero field, it behaves as a uniform $S$ = 1/2 Heisenberg antiferromagnet with $J$ = 238 K, and exhibits a canted antiferromagnetism below $T_\mathrm{N}$ = 1.52 K. In addition, a magnetic field $H$ induces the anisotropy in magnetization and opens a gap in the spin excitation spectrum. These properties are understood in terms of an effective staggered field induced by staggered g-tensors and Dzyaloshinsky-Moriya (DM) interactions. Temperature-dependencies of the heat capacity and their field variations are consistent with those expected for quantum sine-Gordon model, indicating that spin excitations consist of soliton, anti-soliton and breather modes. From field-dependencies of the soliton mass, the staggered field normalized by the uniform field $c_\mathrm{s}$ is estimated as 0.041, 0.174, and 0.030, for $H \parallel a$, $b$, and $c$, respectively. Such a large variation of $c_\mathrm{s}$ is understood as the combination of staggered g-tensors and DM interactions which induce the staggered field in the opposite direction for $H \parallel a$ and $c$ but almost the same direction for $H \parallel b$ at each Cu site.