### 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 (J_{1} and J_{2}) is investigated using the non-linear spin wave theory. We find existence of two phases: a two sublattice Néel phase for small J_{2} (AF), and a collinear antiferromagnetic phase at large J_{2} (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, p_{c} = 0.56 or J_{2}/J_{1} = 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 language | English (US) |
---|---|

Pages (from-to) | 714-726 |

Number of pages | 13 |

Journal | Journal of Statistical Physics |

Volume | 139 |

Issue number | 4 |

DOIs | |

State | Published - May 1 2010 |

### Fingerprint

### 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 J _{1}-J_{2} antiferromagnetic spin-1/2 Heisenberg model on a simple cubic lattice.** / Majumdar, Kingshuk; Datta, Trinanjan.

Research output: Contribution to journal › Article

_{1}-J

_{2}antiferromagnetic spin-1/2 Heisenberg model on a simple cubic lattice',

*Journal of Statistical Physics*, vol. 139, no. 4, pp. 714-726. https://doi.org/10.1007/s10955-010-9967-y

}

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 -