Gradient critical phenomena in the Ising quantum chain: surface behaviour

Abstract

We consider the influence of a power-law deviation from the critical coupling such that the system is critical at its surface. We develop a scaling theory showing that such a perturbation introduces a new length scale which governs the scaling behaviour of the density profiles as well as the finite-size behaviour of the surface properties. Exact results are obtained for the Ising quantum chain when the perturbation varies linearly whereas the quadratic perturbation is mainly studied numerically. The scaling theory is well confirmed in both cases.

References in corpus (10)

• Inhomogeneous Systems with Unusual Critical Behaviour
• Critical behavior and scaling in trapped systems
• Trap-size scaling in confined particle systems at quantum transitions
• Entanglement in spin chains with gradients
• Phase Transition in Space: How Far Does a Symmetry Bend Before It Breaks?
• Effect of Gravity and Confinement on Phase Equilibria: A Density Matrix Renormalization Approach
• Gradient critical phenomena in the Ising quantum chain
• Critical point shift in a fluid confined between opposing walls
• Surface and bulk critical behaviour of the XY chain in a transverse field
• Marginal Anisotropy in Layered Aperiodic Ising Systems

Cited by in corpus (17)

• Quantum Quenches in an XXZ Spin Chain from a Spatially Inhomogeneous Initial State
• Trap-size scaling in confined particle systems at quantum transitions
• Critical quench dynamics in confined systems
• Dynamical critical scaling and effective thermalization in quantum quenches: the role of the initial state
• Inhomogeneous quasi-adiabatic driving of quantum critical dynamics in weakly disordered spin chains
• Adiabatic dynamics of an inhomogeneous quantum phase transition: the case of z > 1 dynamical exponent
• Engineering non-equilibrium quantum phase transitions via causally gapped Hamiltonians
• The geometry of percolation fronts in two-dimensional lattices with spatially varying densities
• Exact dynamics of a one dimensional Bose gas in a periodic time-dependent harmonic trap
• Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions
• One-dimensional Bose gas driven by a slow time-dependent harmonic trap
• Spatial Kibble-Zurek mechanism through susceptibilities: the inhomogeneous quantum Ising model case
• Defect production in quench from current-carrying non-equilibrium state
• Critical dynamics in trapped particle systems
• Probing universal critical scaling with scan-DMRG
• Iterated star-triangle transformation on inhomogeneous 2D Ising lattices
• Anomalous Dynamical Scaling at Topological Quantum Criticality