Fidelity Susceptibility in One-dimensional Disordered Lattice Models

Abstract

We investigate quantum phase transitions in one-dimensional quantum disordered lattice models, the Anderson model and the Aubry-André model, from the fidelity susceptibility approach. First, we find that the fidelity susceptibility and the generalized adiabatic susceptibility are maximum at the quantum critical points of the disordered models, through which one can locate the quantum critical point in disordered lattice models. Second, finite-size scaling analysis of the fidelity susceptibility and of the generalized adiabatic susceptibility show that the correlation length critical exponent and the dynamical critical exponent at the quantum critical point of the one-dimensional Anderson model are respectively 2/3 and 2 and of the Aubry-André model are respectively 1 and 2.375. Thus the quantum phase transitions in the Anderson model and in the Aubry-André model are of different universality classes. Because the fidelity susceptibility and the generalized adiabatic susceptibility are directly connected to the dynamical structure factor which are experimentally accessible in the linear response regime, the fidelity susceptibility in quantum disordered systems may be observed experimentally in near future.

8 pages, 6 figures

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Cited by in corpus (5)

• Dynamics of a quantum phase transition in the Aubry-André-Harper model with $p$-wave superconductivity
• Quantum criticality and universality in the $p$-wave paired Aubry-André-Harper model
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Exploring unconventional quantum criticality in the p-wave-paired Aubry-André-Harper model
• Quantum criticality of a ${\mathbb{Z}}_3$ symmetric spin chain with long-range interactions