Quantum Rotors on the AB$_2$ Chain with Competing Interactions
Abstract
We present the ground state phase diagram of quantum-rotor chains with competing interactions (frustration) calculated through cluster variational mean field approaches. We consider two interaction patterns, named F and F models, between the quantum-rotor momentum and position operators, which follow exchange patterns of known one-dimensional spin-1/2 systems with a ferrimagnetic state in their phase diagrams. The spin-1/2 F model is known as the diamond chain and is related to the azurite compound, while the spin-1/2 F model was recently shown to present a frustration-induced condensation of magnons. We provide a detailed comparison between the quantum-rotor phase diagrams, in single- and multi-site mean-field approaches, and known results for the spin-1/2 models, including exact diagonalization and density matrix renormalization group data for these systems, as well as phase diagrams of the associated classical models.
Keywords
Cite
@article{arxiv.1602.05383,
title = {Quantum Rotors on the AB$_2$ Chain with Competing Interactions},
author = {Antônio S. F. Tenório and R. R. Montenegro-Filho and M. D. Coutinho-Filho},
journal= {arXiv preprint arXiv:1602.05383},
year = {2016}
}