Non-linear spin wave theory results for the frustrated Heisenberg antiferromagnet on a body-centered cubic lattice

Kingshuk Majumdar, Trinanjan Datta

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

At zero temperature the sublattice magnetization of the quantum spin- 1/2 Heisenberg antiferromagnet on a body-centered cubic lattice with competing first and second neighbor exchange (J1 and J2) is investigated using the non-linear spin wave theory. The zero temperature phases of the model consist of a two sublattice Néel phase for small J2 (AF 1) and a collinear phase at large J2 (AF2). We show that quartic corrections due to spin wave interactions enhance the sublattice magnetization in both the AF1 and the AF2 phase. The magnetization corrections are prominent near the classical transition point of the model and in the J2>J1 regime. The ground state energy with quartic interactions is also calculated. It is found that up to quartic corrections the first order phase transition (previously observed in this model) between the AF1 and the AF2 phase survives.

Original languageEnglish (US)
Article number406004
JournalJournal of Physics Condensed Matter
Volume21
Issue number40
DOIs
StatePublished - Sep 28 2009

Fingerprint

body centered cubic lattices
Spin waves
sublattices
magnons
Magnetization
magnetization
wave interaction
transition points
Ground state
Phase transitions
Temperature
ground state
temperature
interactions
energy

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

Non-linear spin wave theory results for the frustrated Heisenberg antiferromagnet on a body-centered cubic lattice. / Majumdar, Kingshuk; Datta, Trinanjan.

In: Journal of Physics Condensed Matter, Vol. 21, No. 40, 406004, 28.09.2009.

Research output: Contribution to journalArticle

@article{a10a9a23910e48ceb701143a75b04e0d,
title = "Non-linear spin wave theory results for the frustrated Heisenberg antiferromagnet on a body-centered cubic lattice",
abstract = "At zero temperature the sublattice magnetization of the quantum spin- 1/2 Heisenberg antiferromagnet on a body-centered cubic lattice with competing first and second neighbor exchange (J1 and J2) is investigated using the non-linear spin wave theory. The zero temperature phases of the model consist of a two sublattice N{\'e}el phase for small J2 (AF 1) and a collinear phase at large J2 (AF2). We show that quartic corrections due to spin wave interactions enhance the sublattice magnetization in both the AF1 and the AF2 phase. The magnetization corrections are prominent near the classical transition point of the model and in the J2>J1 regime. The ground state energy with quartic interactions is also calculated. It is found that up to quartic corrections the first order phase transition (previously observed in this model) between the AF1 and the AF2 phase survives.",
author = "Kingshuk Majumdar and Trinanjan Datta",
year = "2009",
month = "9",
day = "28",
doi = "10.1088/0953-8984/21/40/406004",
language = "English (US)",
volume = "21",
journal = "Journal of Physics Condensed Matter",
issn = "0953-8984",
publisher = "IOP Publishing Ltd.",
number = "40",

}

TY - JOUR

T1 - Non-linear spin wave theory results for the frustrated Heisenberg antiferromagnet on a body-centered cubic lattice

AU - Majumdar, Kingshuk

AU - Datta, Trinanjan

PY - 2009/9/28

Y1 - 2009/9/28

N2 - At zero temperature the sublattice magnetization of the quantum spin- 1/2 Heisenberg antiferromagnet on a body-centered cubic lattice with competing first and second neighbor exchange (J1 and J2) is investigated using the non-linear spin wave theory. The zero temperature phases of the model consist of a two sublattice Néel phase for small J2 (AF 1) and a collinear phase at large J2 (AF2). We show that quartic corrections due to spin wave interactions enhance the sublattice magnetization in both the AF1 and the AF2 phase. The magnetization corrections are prominent near the classical transition point of the model and in the J2>J1 regime. The ground state energy with quartic interactions is also calculated. It is found that up to quartic corrections the first order phase transition (previously observed in this model) between the AF1 and the AF2 phase survives.

AB - At zero temperature the sublattice magnetization of the quantum spin- 1/2 Heisenberg antiferromagnet on a body-centered cubic lattice with competing first and second neighbor exchange (J1 and J2) is investigated using the non-linear spin wave theory. The zero temperature phases of the model consist of a two sublattice Néel phase for small J2 (AF 1) and a collinear phase at large J2 (AF2). We show that quartic corrections due to spin wave interactions enhance the sublattice magnetization in both the AF1 and the AF2 phase. The magnetization corrections are prominent near the classical transition point of the model and in the J2>J1 regime. The ground state energy with quartic interactions is also calculated. It is found that up to quartic corrections the first order phase transition (previously observed in this model) between the AF1 and the AF2 phase survives.

UR - http://www.scopus.com/inward/record.url?scp=70349310333&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349310333&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/21/40/406004

DO - 10.1088/0953-8984/21/40/406004

M3 - Article

C2 - 21832429

AN - SCOPUS:70349310333

VL - 21

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 40

M1 - 406004

ER -