Journal of Statistical Mechanics Theory and Experiment

The ground state phase diagram of the quantumJ1–J2spin-1/2 Heisenberg antiferromagnet on an anisotropic square lattice

Griffith Mendonça, Rodrigo Santos da Lapa, J. Ricardo de Sousa, Minos A. Neto, Kingshuk Majumdar, Trinanjan Datta

Published Jun 28, 2010• 3 citations

Abstract

The ground state phase diagram of the quantum J1–J2 spin-1/2 Heisenberg antiferromagnet on an anisotropic square lattice, Mendonça, Griffith, Lapa, Rodrigo, Ricardo de Sousa, J, Neto, Minos A, Majumdar, Kingshuk, Datta, Trinanjan

DOI: 10.1088/1742-5468/2010/06/p06022

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Journal of Statistical Mechanics Theory and Experiment

The ground state phase diagram of the quantumJ1–J2spin-1/2 Heisenberg antiferromagnet on an anisotropic square lattice

Griffith Mendonça, Rodrigo Santos da Lapa, J. Ricardo de Sousa, Minos A. Neto, Kingshuk Majumdar, Trinanjan Datta

Published Jun 28, 2010• 3 citations

Publisher

Abstract

DOI: 10.1088/1742-5468/2010/06/p06022

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The spin-

1/2

J_1-J_2

Heisenberg antiferromagnet on a square lattice:a plaquette renormalized tensor network study

Revisiting a variational study of the quantum

J_{1}-J_{1}^{'}-J_{2}

spin-1/2 Heisenberg antiferromagnet

The variational study of the ground state of the spin

-1/2

anisotropic Heisenberg antiferromagnet has been revisited on a square lattice by improving and correcting past numerical results found in Sol. State. Comm. 165, 33 (2013). The Hamiltonian has been implemented on a square lattice with antiferromagnetic interactions between nearest- and next-nearest neighbors. The nearest-neighbor couplings have different strengths, namely,

J_{1}

and

J_{1}^{'}

, for the x and y directions, respectively. These couplings compete with the next-nearest ones denoted by

J_{2}

. We obtained a new phase diagram in the

λ- α

plane, where

λ= J_{1}^{'}/J_{1}

and

α= J_{2}/J_{1}

, whose topology is slightly different of that previously found. There is no direct frontier dividing the collinear (CAF) and the antiferromagnetic order (AF), rather, the quantum paramagnetic phase (QP) separates these two phases for all positive values of

λ

and

α

. The true nature of the frontiers has been obtained by scanning rigorously the relevant points of the

λ-α

plane.