Spin-one bilinear-biquadratic model on a star lattice

2018/02/28 by Hyun-Yong Lee, Naoki Kawashima · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Lattice (music) #Phase diagram #Physics of Superconductivity and Magnetism #Quantum #Quantum entanglement #Quantum many-body systems #Star network #Tensor (intrinsic definition) #Transfer matrix #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.97.205123

published as Phys. Rev. B 97, 205123 (2018)

openalex created_date 2018/03/06 · openalex publication_date 2018/05/21 · arxiv created 2019/08/27 · arxiv updated 2019/08/29 · openalex updated_date 2026/08/05

Abstract

We study the ground-state phase diagram of the S=1 bilinear-biquadratic model (BLBQ) on the star lattice with the state-of-art tensor network algorithms. The system has four phases: the ferromagnetic, antiferromagnetic, ferroquadrupolar, and spin-liquid phases. The phases and their phase boundaries are determined by examining various local observables, correlation functions, and transfer matrices exhaustively. The spin-liquid phase, which is the first quantum disordered phase found in the two-dimensional BLBQ model, is gapped and devoid of any conventional long-range order. It is also characterized by fixed-parity virtual bonds in the tensor network formalism, analogous to the Haldane phase, while the parity varies depending on the location of the bond.

Citations

• Possible highT c superconductivity in the Ba?La?Cu?O system
• Tensor-entanglement renormalization group approach as a unified method for symmetry breaking and topological phase transitions
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Spin Liquid State in an Organic Mott Insulator with a Triangular Lattice
• Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
• Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
• Spin-1/2 Kagomé-Like Lattice in Volborthite Cu3V2O7(OH)2·2H2O
• Anyons in an exactly solved model and beyond
• Double-semion topological order from exactly solvable quantum dimer models
• Quantum orders and symmetric spin liquids

Cited by

• Spin-12 Heisenberg antiferromagnet on the star lattice: Competing valence-bond-solid phases studied by means of tensor networks