Quantum criticalities in a two-leg antiferromagnetic S=1/2 ladder induced by a staggered magnetic field

Abstract

We study a two-leg antiferromagnetic spin-1/2 ladder in the presence of a staggered magnetic field. We consider two parameter regimes: strong (weak) coupling along the legs and weak (strong) coupling along the rungs. In both cases, the staggered field drives the Haldane spin-liquid phase of the ladder towards a Gaussian quantum criticality. In a generalized spin ladder with a non-Haldane, spontaneously dimerized phase, the staggered magnetic field induces an Ising quantum critical regime. In the vicinity of the critical lines, we derive low-energy effective field theories and use these descriptions to determine the dynamical response functions, the staggered spin susceptibility and the string order parameter.

arXiv comment29 pages of revtex, 10 figures

References in corpus (34)

• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Bosonization and Strongly Correlated Systems
• Exact expectation values of local fields in quantum sine-Gordon model
• Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
• Theory of the field-induced gap in $S=1/2$ antiferromagnetic chains
• On the Field-Induced Gap in Cu Benzoate and Other S=1/2 Antiferromagnets
• Direct Observation of Field-Induced Incommensurate Fluctuations in a One-Dimensional S=1/2 Antiferromagnet
• Magnetization Plateaux in N-Leg Spin Ladders
• Critical Properties of gapped spin-1/2 chains and ladders in a magnetic field
• From band insulator to Mott insulator in one dimension
• Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
• Non-integrable aspects of the multi-frequency Sine-Gordon model
• Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model
• Low energy effective Hamiltonian for the XXZ spin chain
• One-dimensional spin-liquid without magnon excitations
• Free Field Representation For Massive Integrable Models
• Competing orders and quantum criticality in doped antiferromagnets
• Form-factors of exponential fields in the sine-Gordon model
• Non-Haldane Spin Liquid Models with Exact Ground States
• Critical properties of the double-frequency sine-Gordon model with applications
• Correlation amplitude for the XXZ spin chain in the disordered regime
• Form factors of soliton-creating operators in the sine-Gordon model
• Dynamical spin correlations in Heisenberg ladder under magnetic field and correlation functions in SO(5) ladder
• An experimental measurement of the staggered magnetization curve for a Haldane spin chain
• Energy separation of single-particle and continuum states in a S=1/2 weakly-coupled chains antiferromagnet
• Massive and Massless Behavior in Dimerized Spin Ladders
• Coexistence of Haldane gap excitations and long range antiferromagnetic order in mixed-spin nickelates R_2 Ba Ni O_5
• Universal Behavior of One-Dimensional Gapped Antiferromagnets in Staggered Magnetic Field
• Heisenberg Spin-One Chain in Staggered Magnetic Field : A Density Matrix Renormalization Group Study
• On the 3-particle scattering continuum in quasi one dimensional integer spin Heisenberg magnets
• Ising-model description of the SU(2)_1 quantum critical point in a dimerized two-leg spin-1/2 ladder
• Spin-1 Antiferromagnetic Heisenberg Chains in an External Staggered Field
• Bifurcation at the c=3/2 Takhtajan-Babujian point to the c=1 critical lines
• Integer-spin Heisenberg Chains in a Staggered Magnetic Field. A Nonlinear $\sigma$-Model Approach

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• Quantum corrections of the Dzyaloshinskii-Moriya interaction on the spin-1/2 AF-Heisenberg chain in an uniform magnetic field
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