QuantumJ1−J2Antiferromagnet on a Stacked Square Lattice: Influence of the Interlayer Coupling on the Ground-State Magnetic Ordering

2006/04/30 by D. Schmalfuß, D. Schmalfuss, R. Darradi +4 · 3 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.97.157201

published as Phys.Rev.Lett. 97, 157201 (2006) · 4 pages, 3 figures

openalex publication_date 2006/10/10 · arxiv created 2006/10/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Using the coupled-cluster method and the rotation-invariant Green's function method, we study the influence of the interlayer coupling J_\ensuremath⊥ on the magnetic ordering in the ground state of the spin-1/2 J₁\mathrm\text\ensuremath-J₂ frustrated Heisenberg antiferromagnet (J₁\mathrm\text\ensuremath-J₂ model) on the stacked square lattice. In agreement with known results for the J₁\mathrm\text\ensuremath-J₂ model on the strictly two-dimensional square lattice (J_\ensuremath⊥=0), we find that the phases with magnetic long-range order at small J₂<J_c₁ and large J₂>J_c₂ are separated by a magnetically disordered (quantum paramagnetic) ground-state phase. Increasing the interlayer coupling J_\ensuremath⊥>0, the parameter region of this phase decreases, and, finally, the quantum paramagnetic phase disappears for quite small J_\ensuremath⊥\ensuremath∼(0.2--0.3)J₁.

Citations

• Li2VO(Si,Ge)O4, a Prototype of a Two-Dimensional Frustrated Quantum Heisenberg Antiferromagnet
• Coupled cluster treatment of the Shastry-Sutherland antiferromagnet

Cited by

• FRUSTRATED QUANTUM ANTIFERROMAGNETS: APPLICATION OF HIGH-ORDER COUPLED CLUSTER METHOD
• Effect of anisotropy on the ground-state magnetic ordering of the spin-half quantumJ1XXZ–J2XXZmodel on the square lattice
• The spin-1/2 J1–J2 Heisenberg antiferromagnet on the square lattice: Exact diagonalization for N=40 spins