Finite-size scaling at quantum transitions
arXiv:1401.0788 · doi:10.1103/PhysRevB.89.094516
Abstract
We develop the finite-size scaling (FSS) theory at quantum transitions, considering generic boundary conditions, such as open and periodic boundary conditions, and also the corrections to the leading FSS behaviors. Using renormalization-group (RG) theory, we generalize Wegner's scaling Ansatz to the quantum case, classifying the different sources of scaling corrections. We identify nonanalytic corrections due to irrelevant (bulk and boundary) RG perturbations and analytic contributions due to regular backgrounds and analytic expansions of the nonlinear scaling fields. To check the general predictions, we consider the quantum XY chain in a transverse field. For this model exact or numerically accurate results can be obtained by exploiting its fermionic quadratic representation. We study the FSS of several observables, such as the free energy, the energy differences between low-energy levels, correlation functions of the order parameter, etc., confirming the general predictions in all cases. Moreover, we consider bipartite entanglement entropies, which are characterized by the presence of additional scaling corrections, as predicted by conformal field theory.
24 pages
References in corpus (16)
- Many-Body Physics with Ultracold Gases
- Critical Behavior of a Trapped Interacting Bose Gas
- Unusual Corrections to Scaling in Entanglement Entropy
- Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
- Universal corrections to scaling for block entanglement in spin-1/2 XX chains
- Exact relationship between the entanglement entropies of XY and quantum Ising chains
- Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
- Multi-partite entanglement and quantum phase transition in the one-, two-, and three-dimensional transverse field Ising model
- Finite size behaviors of critical Ising model on a rectangle with free boundaries
- Corrections to scaling for block entanglement in massive spin-chains
- Exact thermodynamic Casimir forces for an interacting three-dimensional model system in film geometry with free surfaces
- Renormalization-group flow and asymptotic behaviors at the Berezinskii-Kosterlitz-Thouless transitions
- Shape dependent finite-size effect of critical two-dimensional Ising model on a triangular lattice
- Dynamic critical behavior of model A in films: Zero-mode boundary conditions and expansion near four dimensions
- Kosterlitz-Thouless transition in thin films: A Monte Carlo study of three-dimensional lattice models
- Universal anisotropic finite-size critical behavior of the two-dimensional Ising model on a strip and of d-dimensional models on films
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