Anisotropic Hubbard model on a triangular lattice -- spin dynamics in Ho   Mn O_3

Saptarshi Ghosh; Avinash Singh

arXiv:cond-mat/0506475·cond-mat.str-el·June 25, 2015

Anisotropic Hubbard model on a triangular lattice -- spin dynamics in Ho Mn O_3

Saptarshi Ghosh, Avinash Singh

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TL;DR

This paper models the spin dynamics of HoMnO3 using an anisotropic Hubbard model on a triangular lattice, fitting neutron scattering data and revealing strong-coupling magnetic behavior with specific exchange and anisotropy parameters.

Contribution

It introduces an anisotropic Hubbard model tailored for HoMnO3 and fits experimental neutron scattering data to extract key magnetic interaction parameters.

Findings

01

Magnetic excitations correspond to strong-coupling limit U/t > 15

02

Planar exchange energy J ≈ 2.5 meV

03

Planar anisotropy ΔU ≈ 0.35 meV

Abstract

The recent neutron-scattering data for spin-wave dispersion in $HoMn O_{3}$ are well described by an anisotropic Hubbard model on a triangular lattice with a planar (XY) spin anisotropy. Best fit indicates that magnetic excitations in $HoMn O_{3}$ correspond to the strong-coupling limit $U / t >\sim 15$ , with planar exchange energy $J = 4 t^{2} / U ≃ 2.5$ meV and planar anisotropy $Δ U ≃ 0.35$ meV.

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