Quantum Rotors on the AB${}_2$ Chain with Competing Interactions

Abstract

We present the ground state phase diagram of $q=1/2$ quantum-rotor chains with competing interactions (frustration) calculated through cluster variational mean field approaches. We consider two interaction patterns, named F${}_1$ and F${}_2$ 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${}_1$ model is known as the diamond chain and is related to the azurite compound, while the spin-1/2 F${}_2$ 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.

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• Quantum phase transitions in alternating spin-(1/2, 5/2) Heisenberg chains
• Topological Approach to Microcanonical Thermodynamics and Phase Transition of Interacting Classical Spins
• Magnetic and nonmagnetic phases in doped AB2 t-J Hubbard chains
• Magnetic phase separation in a frustrated ferrimagnetic chain under a magnetic field