Universality of Heisenberg-Ising chain in external fields
arXiv:1904.11398 · doi:10.1088/1361-648X/ab4c71
Abstract
Motivated by the recent surge of transverse-field experiments on quasi-one-dimensional antiferromagnets Sr(Ba)CoVO, we investigate the quantum phase transition in a Heisenberg-Ising chain under a combination of two in-plane inter-perpendicular transverse fields and a four-period longitudinal field, where the in-plane transverse field is either uniform or staggered. We show that the model can be unitary mapped to the one-dimensional transverse-field Ising model (1DTFIM) when the and components of the spin interaction and the four-period field are absent. When these two terms are present, following both analytical and numerical efforts, we demonstrate that the system undergoes a second-order quantum phase transition with increasing transverse fields, where the critical exponents as well as the central charge fall into the universality of 1DTFIM. Our results naturally identify the 1DTFIM universality of 1D quantum phase transitions observed in the existed experiments in Sr(Ba)CoVO with transverse field applied along either [100] or [110] direction. Upon varying the tuning parameters a critical surface with 1DTFIM universality is determined and silhouetted to exhibit the general presence of the universality in a much wider scope of models than conventional understanding. Thus our results provide a broad guiding framework to facilitate the experimental realization of 1DTFIM universality in real materials.
arXiv comment8 pages, 4 figures
References in corpus (31)
- Locally critical quantum phase transitions in strongly correlated metals
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
- Onset of antiferromagnetism in heavy fermion metals
- Quantum criticality
- Heavy Fermions and Quantum Phase Transitions
- The iTEBD algorithm beyond unitary evolution
- Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
- Experimental Observation of Bethe Strings
- Criticality in correlated quantum matter
- Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNbO
- Emergence of superconductivity in the canonical heavy-electron metal YbRh2Si2
- Topological quantum phase transition in the Ising-like antiferromagnetic spin chain BaCoVO
- Spinon confinement in a quasi one dimensional anisotropic Heisenberg magnet
- The anisotropic Heisenberg model in a transverse magnetic field
- Quantum Criticality of an Ising-like Spin-1/2 Antiferromagnetic Chain in Transverse Magnetic Field
- Spinon Confinement in the One-Dimensional Ising-Like Antiferromagnet SrCo2V2O8
- Majorana fermions in density modulated p-wave superconducting wires
- Dynamical structure factor of the anisotropic Heisenberg chain in a transverse field
- Quantum criticality of the Ising-like screw chain antiferromagnet SrCo2V2O8 in a transverse magnetic field
- Magnetic correlations of the quasi-one-dimensional half-integer spin-chain antiferromagnets SrVO ( = Co, Mn)
- Magnetic phase diagrams, domain switching and a quantum phase transition of the quasi-1D Ising-like antiferromagnet BaCo2V2O8
- From confined spinons to emergent fermions: Observation of elementary magnetic excitations in a transverse-field Ising chain
- Anisotropic Antiferromagnetic Spin Chains in a Transverse Field: Reentrant Behavior of the Staggered Magnetization
- Giant magnetic-field dependence of the coupling between spin Tomonaga-Luttinger liquids in BaCo2V2O8
- Finite temperature spin dynamics in a perturbed quantum critical Ising chain with an symmetry
- Crossovers and critical scaling in the one-dimensional transverse-field Ising model
- Topological transition between competing orders in quantum spin chains
- The anisotropic XY model on the inhomogeneous periodic chain
- Quantum transitions of the XY model with long-range interactions on the inhomogenous periodic chain
- Magnetic and Ising quantum phase transitions in a model for isoelectronically tuned iron pnictides