Dimerized ground states in spin-S frustrated systems

Abstract

We study a family of frustrated anti-ferromagnetic spin-$S$ systems with a fully dimerized ground state. This state can be exactly obtained without the need to include any additional three-body interaction in the model. The simplest members of the family can be used as a building block to generate more complex geometries like spin tubes with a fully dimerized ground state. After present some numerical results about the phase diagram of these systems, we show that the ground state is robust against the inclusion of weak disorder in the couplings as well as several kinds of perturbations, allowing to study some other interesting models as a perturbative expansion of the exact one. A discussion on how to determine the dimerization region in terms of quantum information estimators is also presented. Finally, we explore the relation of these results with a the case of the a 4-leg spin tube which recently was proposed as the model for the description of the compound Cu${}_2$Cl${}_4$D${}_8$C${}_4$SO${}_2$, delimiting the region of the parameter space where this model presents dimerization in its ground state.

10 pages, 9 figures

References in corpus (15)

• The ALPS project release 1.3: open source software for strongly correlated systems
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Entanglement versus Correlations in Spin Systems
• Valence Bond Solids for Quantum Computation
• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Fidelity analysis of topological quantum phase transitions
• Multipartite entanglement detection via structure factors
• Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
• The matrix product representations for all valence bond states
• Coexistence of vector chiral order and Tomonaga-Luttinger liquid in the frustrated three-leg spin tube in a magnetic field
• Dimensional crossover in a spin liquid to helimagnet quantum phase transition
• Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field
• Quantifying entanglement with scattering experiments
• Generalized mean field description of entanglement in dimerized spin systems
• Phase diagram study of a dimerized spin-S zig-zag ladder

Cited by in corpus (10)

• Thermodynamic properties of highly frustrated quantum spin ladders: influence of many-particle bound states
• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
• Quantum phase diagram of a frustrated antiferromagnet on the bilayer honeycomb lattice
• Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
• Nematic quantum phases in the bilayer honeycomb antiferromagnet
• Magnetization process in a frustrated plaquette dimerized ladder
• Pair entanglement in dimerized spin-s chains
• Optimizing configurations for determining the magnetic model based on ab-initio calculations
• Covariance-based method for eigenstate factorization and generalized singlets
• A Generalised Haldane Map from the Matrix Product State Path Integral to the Critical Theory of the $J_1$-$J_2$ Chain