${\mathbb{Z}}_4$ transitions in quantum loop models on a zig-zag ladder

Abstract

We study the nature of quantum phase transitions out of ${\mathbb{Z}}_4$ ordered phases in quantum loop models on a zig-zag ladder. We report very rich critical behavior that includes a pair of Ising transitions, a multi-critical Ashkin-Teller point and a remarkably extended interval of a chiral transition. Although plaquette states turn out to be essential to realize chiral transitions, we demonstrate that critical regimes can be manipulated by deforming the model as to increase the presence of leg-dimerized states. This can be done to the point where the chiral transition turns into first order, we argue that this is associated with the emergence of a critical end point.

arXiv comment28 pages, 14 figures

References in corpus (38)

• The density-matrix renormalization group in the age of matrix product states
• Entanglement Entropy and Quantum Field Theory
• Probing many-body dynamics on a 51-atom quantum simulator
• A Rydberg Quantum Simulator
• An RVB phase in the triangular lattice quantum dimer model
• Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
• From density-matrix renormalization group to matrix product states
• A class of ansatz wave functions for 1D spin systems and their relation to DMRG
• Physical Meaning of the Affleck-Kennedy-Lieb-Tasaki S=1 Quantum spin chain
• Numerical study of the chiral ${\mathbb{Z}}_3$ quantum phase transition in one spatial dimension
• Quantum field theory for the chiral clock transition in one spatial dimension
• Floating phase versus chiral transition in a 1D hard-boson model
• Topological order from quantum loops and nets
• The plaquette phase of the square lattice quantum dimer model
• Triangular lattice quantum dimer model with variable dimer density
• Variational and DMRG studies of the Frustrated Antiferromagnetic Heisenberg S=1 Quantum Spin Chain
• Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains
• Dimerization transitions in spin-1 chains
• Identification of an RVB liquid phase in a quantum dimer model with competing kinetic terms
• Quantum phase transitions in multileg spin ladders with ring exchange
• Connectivity transition in the frustrated S=1 chain revisited
• Lifshitz point at commensurate melting of 1D Rydberg atoms
• Spontaneous dimerization, critical lines, and short-range correlations in a frustrated spin-1 chain
• Conformal and chiral phase transitions in Rydberg chains
• Diagnosing Potts criticality and two-stage melting in one-dimensional hard-boson models
• Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling
• Comment on "Frustration and Multicriticality in the Antiferromagnetic Spin-1 Chain"
• DMRG investigation of constrained models: from quantum dimer and quantum loop ladders to hard-boson and Fibonacci anyon chains
• Floating, critical and dimerized phases in a frustrated spin-3/2 chain
• Magnetic properties of S = 5/2 anisotropic triangular chain Bi3FeMo2O12
• Commensurate-incommensurate transition in the chiral Ashkin-Teller model
• From SU(2)${}_5$ to SU(2)${}_3$ Wess-Zumino-Witten transitions in a frustrated spin-5/2 chain
• Crystalline structures and frustration in a two-component Rydberg gas
• Tunable quantum criticality in multicomponent Rydberg arrays
• Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling
• Quantum melting of two-component Rydberg crystals
• Critical properties of the quantum Ashkin-Teller chain with chiral perturbations
• Probing quantum floating phases in Rydberg atom arrays

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