Fidelity susceptibility, scaling, and universality in quantum critical phenomena

TL;DR

This paper investigates how fidelity susceptibility can identify universality classes in quantum phase transitions within a one-dimensional asymmetric Hubbard model, revealing different critical exponents depending on filling.

Contribution

It demonstrates the use of fidelity susceptibility to determine universality classes and calculates critical exponents for different filling conditions in the model.

Findings

Fidelity susceptibility identifies universality classes.

Critical exponent is 0 at half-filling.

Critical exponent is 2 away from half-filling.

Abstract

We study fidelity susceptibility in one-dimensional asymmetric Hubbard model, and show that the fidelity susceptibility can be used to identify the universality class of the quantum phase transitions in this model. The critical exponents are found to be 0 and 2 for cases of half-filling and away from half-filling respectively.