A Frustrated 3-Dimensional Antiferromagnet: Stacked $J_1-J_2$ Layers

Abstract

We study a frustrated 3D antiferromagnet of stacked $J_1-J_2$ layers. The intermediate 'quantum spin liquid' phase, present in the 2D case, narrows with increasing interlayer coupling and vanishes at a triple point. Beyond this there is a direct first-order transition from N{\' e}el to columnar order. Possible applications to real materials are discussed.

11 pages,7 figures

References in corpus (5)

• The J1-J2 model: First order phase transition versus deconfinement of spinons
• Quantum $J_1$--$J_2$ antiferromagnet on the stacked square lattice: Influence of the interlayer coupling on the ground-state magnetic ordering
• Pnictides as frustrated quantum antiferromagnet close to a quantum phase transition
• Magnetic order on a frustrated spin-1/2 Heisenberg antiferromagnet on the Union Jack lattice
• Zero temperature phases of the frustrated J1-J2 antiferromagnetic spin-1/2 Heisenberg model on a simple cubic lattice

Cited by in corpus (4)

• Ground-State Ordering of the $J_1$--$J_2$ Model on the Simple Cubic and Body-Centered Cubic Lattices
• Critical and multicritical behavior in the Ising-Heisenberg universality class
• Frustrated magnets and quantum paramagnetic phases at finite temperature
• Quantum spin liquid ground state with the evidence of roton-like excitations at elevated temperatures in the triangular-lattice delafossite YbCuSe${}_2$