Fidelity susceptibility, scaling, and universality in quantum critical phenomena

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.

4 pages, 4 figures

References in corpus (9)

• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Quantum critical scaling of the geometric tensors
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Mixed-state fidelity and quantum criticality at finite temperature
• Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
• Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
• Spin-1/2 fermions on spin-dependent optical lattices
• Segregation in the asymmetric Hubbard model
• Bosonization study of quantum phase transitions in the one-dimensional asymmetric Hubbard model

Cited by in corpus (15)

• Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
• Fidelity analysis of topological quantum phase transitions
• Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
• Direct observation of quantum criticality in Ising spin chains
• Quantum Fidelity and Thermal Phase Transitions
• The fidelity approach to the Hubbard model
• Reduced fidelity susceptibility and its finite-size scaling behaviors
• Fidelity, fidelity susceptibility and von Neumann entropy to characterize the phase diagram of an extended Harper model
• Quantum phase transition in the one-dimensional period-two and uniform compass model
• Quantum phase transitions in a two-dimensional quantum XYX model: Ground-state fidelity and entanglement
• Thermal states of the Kitaev honeycomb model: a Bures metric analysis
• Ground-state fidelity in the BCS-BEC crossover
• Density-functional fidelity approach to quantum phase transitions
• Partial-state fidelity and quantum phase transitions induced by continuous level crossing
• Exact results for the criticality of quench dynamics in quantum Ising models