Quantum dynamics of an Ising spin-chain in a random transverse field

Abstract

We consider an Ising spin-chain in a random transverse magnetic field and compute the zero temperature wave vector and frequency dependent dynamic structure factor numerically by using Jordan-Wigner transformation. Two types of distributions of magnetic fields are introduced. For a rectangular distribution, a dispersing branch is observed, and disorder tends to broaden the dispersion peak and close the excitation gap. For a binary distribution, a non-dispersing branch at almost zero energy is recovered. We discuss the relationship of our work to the neutron scattering measurement in $\mathrm{LiHo}{\mathrm{F}}_4$.

4 pages and 6 eps figures; minor clarifications were made; the text was shortened to add an additional figure

References in corpus (8)

• Strong disorder RG approach of random systems
• A Numerical Study of the Random Transverse-Field Ising Spin Chain
• Low temperature relaxational dynamics of the Ising chain in a transverse field
• Critical Behavior and Griffiths-McCoy Singularities in the Two-Dimensional Random Quantum Ising Ferromagnet
• Quantum Phase Transition of a Magnet in a Spin Bath
• The Random Transverse Ising Spin Chain and Random Walks
• Quantum Griffiths Singularities in the Transverse-Field Ising Spin Glass
• Finite Temperature and Dynamical Properties of the Random Transverse-Field Ising Spin Chain

Cited by in corpus (7)

• Supersymmetry Breaking in Low Dimensional Models
• Induced Entanglement Enhanced by Quantum Criticality
• Exact solution of a spin-1/2 $XX$ chain with three-site interactions in a random transverse field: Influence of randomness on quantum phase transition
• Dynamic properties of quantum spin chains: Simple route to complex behavior
• Finite temperature line-shapes of hard-core bosons in quantum magnets: A diagrammatic approach tested in one dimension
• Quantum critical points, lines and surfaces
• Quantum critical fans from critical lines at zero temperature