Zero temperature phases of the frustrated J1-J2 antiferromagnetic spin-1/2 Heisenberg model on a simple cubic lattice

Kingshuk Majumdar, Trinanjan Datta

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

At zero temperature magnetic phases of the quantum spin-1/2 Heisenberg antiferromagnet on a simple cubic lattice with competing first and second neighbor exchanges (J1 and J2) is investigated using the non-linear spin wave theory. We find existence of two phases: a two sublattice Néel phase for small J2 (AF), and a collinear antiferromagnetic phase at large J2 (CAF). We obtain the sublattice magnetizations and ground state energies for the two phases and find that there exists a first order phase transition from the AF-phase to the CAF-phase at the critical transition point, pc = 0.56 or J2/J1 = 0.28. We also show that the quartic 1/S corrections due spin-wave interactions enhance the sublattice magnetization in both the phases which causes the intermediate paramagnetic phase predicted from linear spin wave theory to disappear.

Original languageEnglish (US)
Pages (from-to)714-726
Number of pages13
JournalJournal of Statistical Physics
Volume139
Issue number4
DOIs
StatePublished - May 1 2010

Fingerprint

Heisenberg Model
cubic lattices
sublattices
magnons
Spin Waves
Zero
magnetization
wave interaction
transition points
temperature
Magnetization
ground state
causes
Antiferromagnet
Wave Interaction
First-order Phase Transition
Ground State Energy
Collinear
Nonlinear Waves
Quartic

Keywords

  • Frustrated magnetic spin systems
  • Heisenberg spin systems
  • Magnetism
  • Quantum phase transition

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Zero temperature phases of the frustrated J1-J2 antiferromagnetic spin-1/2 Heisenberg model on a simple cubic lattice. / Majumdar, Kingshuk; Datta, Trinanjan.

In: Journal of Statistical Physics, Vol. 139, No. 4, 01.05.2010, p. 714-726.

Research output: Contribution to journalArticle

@article{f0d4d9604618403382cc2dcbe1157e0f,
title = "Zero temperature phases of the frustrated J1-J2 antiferromagnetic spin-1/2 Heisenberg model on a simple cubic lattice",
abstract = "At zero temperature magnetic phases of the quantum spin-1/2 Heisenberg antiferromagnet on a simple cubic lattice with competing first and second neighbor exchanges (J1 and J2) is investigated using the non-linear spin wave theory. We find existence of two phases: a two sublattice N{\'e}el phase for small J2 (AF), and a collinear antiferromagnetic phase at large J2 (CAF). We obtain the sublattice magnetizations and ground state energies for the two phases and find that there exists a first order phase transition from the AF-phase to the CAF-phase at the critical transition point, pc = 0.56 or J2/J1 = 0.28. We also show that the quartic 1/S corrections due spin-wave interactions enhance the sublattice magnetization in both the phases which causes the intermediate paramagnetic phase predicted from linear spin wave theory to disappear.",
keywords = "Frustrated magnetic spin systems, Heisenberg spin systems, Magnetism, Quantum phase transition",
author = "Kingshuk Majumdar and Trinanjan Datta",
year = "2010",
month = "5",
day = "1",
doi = "10.1007/s10955-010-9967-y",
language = "English (US)",
volume = "139",
pages = "714--726",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "4",

}

TY - JOUR

T1 - Zero temperature phases of the frustrated J1-J2 antiferromagnetic spin-1/2 Heisenberg model on a simple cubic lattice

AU - Majumdar, Kingshuk

AU - Datta, Trinanjan

PY - 2010/5/1

Y1 - 2010/5/1

N2 - At zero temperature magnetic phases of the quantum spin-1/2 Heisenberg antiferromagnet on a simple cubic lattice with competing first and second neighbor exchanges (J1 and J2) is investigated using the non-linear spin wave theory. We find existence of two phases: a two sublattice Néel phase for small J2 (AF), and a collinear antiferromagnetic phase at large J2 (CAF). We obtain the sublattice magnetizations and ground state energies for the two phases and find that there exists a first order phase transition from the AF-phase to the CAF-phase at the critical transition point, pc = 0.56 or J2/J1 = 0.28. We also show that the quartic 1/S corrections due spin-wave interactions enhance the sublattice magnetization in both the phases which causes the intermediate paramagnetic phase predicted from linear spin wave theory to disappear.

AB - At zero temperature magnetic phases of the quantum spin-1/2 Heisenberg antiferromagnet on a simple cubic lattice with competing first and second neighbor exchanges (J1 and J2) is investigated using the non-linear spin wave theory. We find existence of two phases: a two sublattice Néel phase for small J2 (AF), and a collinear antiferromagnetic phase at large J2 (CAF). We obtain the sublattice magnetizations and ground state energies for the two phases and find that there exists a first order phase transition from the AF-phase to the CAF-phase at the critical transition point, pc = 0.56 or J2/J1 = 0.28. We also show that the quartic 1/S corrections due spin-wave interactions enhance the sublattice magnetization in both the phases which causes the intermediate paramagnetic phase predicted from linear spin wave theory to disappear.

KW - Frustrated magnetic spin systems

KW - Heisenberg spin systems

KW - Magnetism

KW - Quantum phase transition

UR - http://www.scopus.com/inward/record.url?scp=77951768051&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77951768051&partnerID=8YFLogxK

U2 - 10.1007/s10955-010-9967-y

DO - 10.1007/s10955-010-9967-y

M3 - Article

AN - SCOPUS:77951768051

VL - 139

SP - 714

EP - 726

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 4

ER -