Gapped vs Gapless Spin Liquid in the Triangular Lattice Heisenberg Model
Muji Juherwin (a*), Ian McCulloch (b)

a) Energy System Engineering, Lombok Institute of Technology, Lombok Timur 83661, Indonesia
*mujijuherwin[at]gmail.com

b) School of Mathematics and Physics, The University of Queensland, Saint Lucia, Queensland 4072, Australia

Abstract

We study the spin liquid state of the YC6 triangular lattice Heisenberg model (THM). A flux phase is attached to each site and is equivalent to twisted boundary condition on the infinite cylinder system. The numerical investigation was done by utilizing the density matrix renormalization group (DMRG) method implemented via matrix product state (MPS) ansatz. In this study, we have obtained two different groundstates corresponding to the different sector of symmetry. Due to the finite circumference of the cylinder, these two states have slightly different energies. The existence of a finite correlation length throughout the entire twist angle range of the sector with the lower energy indicates that the system is gapped. However, due to the unconventional scaling of the correlation length in the other sector of symmetry, the gap remains inconclusive.

Keywords: Spin Liquid, Heisenberg Model, DMRG, Matrix Product State

Topic: PHYSICAL SCIENCES