Fidelity susceptibility in onedimensional disordered lattice models
Abstract
We investigate quantum phase transitions in onedimensional quantum disordered lattice models, the Anderson model and the AubryAndré 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, finitesize 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 onedimensional Anderson model are respectively 2/3 and 2 and of the AubryAndré model are respectively 1 and 2.375. Thus the quantum phase transitions in the Anderson model and in the AubryAndré 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 the near future.
 Publication:

Physical Review A
 Pub Date:
 April 2019
 DOI:
 10.1103/PhysRevA.99.042117
 arXiv:
 arXiv:1902.00200
 Bibcode:
 2019PhRvA..99d2117W
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Quantum Physics
 EPrint:
 8 pages, 6 figures