Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
arXiv:2111.09798
Abstract
We study a generalized quantum spin ladder with staggered long range interactions that decay as a power-law with exponent . Using large scale quantum Monte Carlo (QMC) and the density matrix renormalization group (DMRG) simulations, we show that this model undergoes a transition from a rung-dimer phase characterized by a non-local string order parameter, to a symmetry broken Néel phase. We find evidence that the transition is second order.In the magnetically ordered phase, the spectrum exhibits gapless modes, while excitations in the gapped phase are well described in terms of triplons -- bound states of spinons across the legs. We obtain the momentum resolved spin dynamic structure factor numerically and find a well defined triplon band evolves into a gapless magnon dispersion through the transition. We further discuss the possibility of deconfined criticality in this model.
arXiv commentaccidental duplicate of arXiv:2012.14908
References in corpus (40)
- Real time evolution using the density matrix renormalization group
- "Deconfined" quantum critical points
- Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
- Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- Symmetry protection of topological order in one-dimensional quantum spin systems
- Quantum magnetism and criticality
- Resonating Valence Bond Theory of Coupled Heisenberg Chains
- Spin-ladders with spin gaps: A description of a class of cuprates
- Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
- Thermodynamics and spin gap of the Heisenberg ladder calculated by the look-ahead Lanczos algorithm
- Spread of correlations in long-range interacting quantum systems
- Spontaneous Magnon Decays
- The susceptibility and excitation spectrum of (VO)PO in ladder and dimer chain models
- Field- and pressure-induced magnetic quantum phase transitions in TlCuCl_3
- Time-step targetting methods for real-time dynamics using DMRG
- Equivalence of the antiferromagnetic Heisenberg ladder to a single chain
- Quantum Criticality and Deconfinement in Phase Transitions Between Valence Bond Solids
- Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field
- Finite speed of quantum scrambling with long range interactions
- Phase Transitions Between Topologically Distinct Gapped Phases in Isotropic Spin Ladders
- Strictly linear light cones in long-range interacting systems of arbitrary dimensions
- Finite-size scaling at quantum transitions
- Ground states of a frustrated quantum spin chain with long-range interactions
- Multi-speed prethermalization in spin models with power-law decaying interactions
- Susceptibility and Low Temperature Thermodynamics of Spin-1/2 Heisenberg Ladders
- Protected quasi-locality in quantum systems with long-range interactions
- Some formal results for the valence bond basis
- Universal Scaling Laws for Correlation Spreading in Quantum Systems with Short- and Long-Range Interactions
- Spectral and thermodynamic properties of a strong-leg quantum spin ladder
- Deconfined criticality critically defined
- Spectrum of a magnetized strong-leg quantum spin ladder
- Dynamical structure factors and excitation modes of the bilayer Heisenberg model
- Complete bond-operator theory of the two-chain spin ladder
- Condensation of magnons and spinons in a frustrated ladder
- Quantum Kibble-Zurek physics in long-range transverse-field Ising models
- The amplitude mode in three-dimensional dimerized antiferromagnets
- Numerical study of critical properties and hidden orders in dimerized spin ladders
- Quantum Monte Carlo studies of spinons in one-dimensional spin systems
- Excitation Gap Scaling near Quantum Critical Three-Dimensional Antiferromagnets
- Deconfined quantum criticality in spin-1/2 chains with long-range interactions