Two leg quantum Ising ladder: A bosonization study of the ANNNI model

Abstract

The quantum ANNNI chain in a transverse field is investigated by means of the bosonization approach in the limit of large next-nearest neighbor interaction. In this regime, this model can be viewed as a weakly coupled two-leg zigzag ladder which enables us to derive its low energy effective field theory. In particular, it is shown that the effect of frustration in the system is captured by the presence of a non zero conformal spin perturbation that accounts for the existence of all the incommensurate phases of the model.

6 pages, 2 figures

Cited by in corpus (28)

• Dynamical phase transitions after quenches in non-integrable models
• Majorana Fermions in Strongly Interacting Helical Liquids
• Strongly interacting Majorana modes in an array of Josephson junctions
• Unveiling phase transitions with machine learning
• Analysis of the phase transition for the Ising model on the frustrated square lattice
• Density Matrix Renormalization Group Study of the Disorder Line in the Quantum ANNNI Model
• Frustrated Quantum Spin Models with Cold Coulomb Crystals
• Universal equilibrium distribution after a small quantum quench
• Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
• Gapless line for the anisotropic Heisenberg spin-1/2 chain in a magnetic field and the quantum axial next-nearest-neighbor Ising Chain
• Controlling Dynamical Quantum Phase Transitions
• Phase transitions in the ${\mathbb{Z}}_p$ and U(1) clock models
• Exotic Quantum Criticality in One-Dimensional Coupled Dipolar Bosons Tubes
• Study of the phase diagram of the Kitaev-Hubbard chain
• Orbital multicriticality in spin gapped quasi-1D antiferromagnets
• Eigenstate entanglement scaling for critical interacting spin chains
• Odd thermodynamic limit for the Loschmidt echo
• A simple theory for quantum quenches in the ANNNI model
• Quantum Quench Dynamics of Geometrically Frustrated Ising Models
• Random unitaries, Robustness, and Complexity of Entanglement
• Global phase diagram and six-state clock universality behavior in the triangular antiferromagnetic Ising model with anisotropic next-nearest-neighbor coupling: Level-spectroscopy approach
• Fermionic Magic Resources of Quantum Many-Body Systems
• Quasi Long Range Order of Defects in Frustrated Antiferromagnetic Ising Models on Spatially Anisotropic Triangular Lattices
• Competing phases and critical behavior in three coupled spinless Luttinger liquids
• Density matrix renormalization group study of the interacting Kitaev chain with quasi-periodic disorder
• Quantum Liang Information Flow Probe of Causality across Critical Points
• Phase diagram of an extended parafermion chain
• Distinct many-body scars and emergent quantum phases driven by competing interactions in two-species Rydberg arrays