Spin-gap study of the model on the triangular lattice

R. F. Bishop; P. H. Y. Li

doi:10.1209/0295-5075/112/67002

All issues

Volume 112 / No 6 (December 2015)

EPL, 112 6 (2015) 67002

Abstract

Issue		EPL Volume 112, Number 6, December 2015


Article Number		67002
Number of page(s)		6
Section		Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
DOI		https://doi.org/10.1209/0295-5075/112/67002
Published online		12 January 2016

EPL, 112 (2015) 67002

Spin-gap study of the $\text{spin-}\frac{1}{2}\ \text{J}_{1}\text{-J}_{2}$ model on the triangular lattice

R. F. Bishop and P. H. Y. Li

School of Physics and Astronomy, Schuster Building, The University of Manchester - Manchester, M13 9PL, UK

Received: 3 August 2015
Accepted: 21 December 2015

Abstract

We use the coupled cluster method implemented at high orders of approximation to study the $\text{spin-}\frac{1}{2}\ J_{1}\text{-}J_{2}$ model on the triangular lattice with Heisenberg interactions between nearest-neighbour and next-nearest-neighbour pairs of spins, with coupling strengths J₁ > 0 and $J_{2} \equiv \kappa J_{1} >0$ , respectively. In the window $0 \leq \kappa \leq 1$ we find that the 3-sublattice 120° Néel-ordered and 2-sublattice 180° stripe-ordered antiferromagnetic states form the stable ground-state phases in the regions $\kappa < \kappa^{c}_{1} = 0.060(10)$ and $\kappa > \kappa^{c}_{2} = 0.165(5)$ , respectively. The spin-triplet gap is found to vanish over essentially the entire region $\kappa^{c}_{1} < \kappa < \kappa^{c}_{2}$ of the intermediate phase.

PACS: 75.10.Jm – Quantized spin models, including quantum spin frustration / 75.10.Kt – Quantum spin liquids, valence bond phases and related phenomena

© EPLA, 2015

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.