Longitudinal Magnetization and specific heat of the anisotropic Heisenberg antiferromagnet on Honeycomb lattice

TL;DR

This paper investigates how magnetic field, temperature, and anisotropic interactions influence the thermodynamic properties of a two-dimensional honeycomb lattice Heisenberg antiferromagnet, revealing detailed behaviors of specific heat and magnetization.

Contribution

It introduces a comprehensive analysis of thermodynamic responses in an anisotropic honeycomb antiferromagnet using a bosonic representation and Green's function approach, including effects of Dzyaloshinskii-Moriya interaction.

Findings

Specific heat increases monotonically with temperature in gapped phases.

Magnetic field causes a monotonic decrease in specific heat due to energy gap increase.

Magnetization varies with Dzyaloshinskii-Moriya interaction strength and next nearest neighbor coupling.

Abstract

We study the effects of longitudinal magnetic field and temperature on the thermodynamic properties of two dimensional Heisenberg antiferromagnet on the honeycomb lattice in the presence of anisotropic Dzyaloshinskii-Moriya interaction and next nearest neighbor coupling exchange constant. In particular, the temperature dependence of specific heat have been investigated for various physical parameters in the model Hamiltonian. Using a hard core bosonic representation, the behavior of thermodynamic properties has been studied by means of excitation spectrum of mapped bosonic gas. The effect of Dzyaloshinskii-Moriya interaction term on thermodynamic properties has also been studied via the bosonic model by Green's function approach. Furthermore we have studied the magnetic field dependence of specific heat and magnetization for various anisotropy parameters. At low temperatures, the specific heat is found to be monotonically increasing with temperature for magnetic fields in the gapped field induced phase region. We have found the magnetic field dependence of specific heat shows a monotonic decreasing behavior for various magnetic fields due to increase of energy gap in the excitation spectrum. Also we have studied the dependence of magnetization on Dzyaloshinskii-Moriya interaction strength for different next nearest neighbor coupling constant.