Detecting phase transitions and crossovers in Hubbard models using the fidelity susceptibility
arXiv:1607.03407 · doi:10.1103/PhysRevB.94.235110
Abstract
A generalized version of the fidelity susceptibility of single-band and multi-orbital Hubbard models is systematically studied using single-site dynamical mean-field theory in combination with a hybridization expansion continuous-time quantum Monte Carlo impurity solver. We find that the fidelity susceptibility is extremely sensitive to changes in the state of the system. It can be used as a numerically inexpensive tool to detect and characterize a broad range of phase transitions and crossovers in Hubbard models, including (orbital-selective) Mott metal-insulator transitions, high-spin to low-spin transitions, Fermi-liquid to non-Fermi-liquid crossovers, and spin-freezing crossovers.
8 pages, 5 figures
References in corpus (15)
- Continuous-time Monte Carlo methods for quantum impurity models
- Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Quantum critical scaling of the geometric tensors
- Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
- Dynamical vertex approximation - a step beyond dynamical mean field theory
- Spin freezing transition and non-Fermi-liquid self-energy in a 3-orbital model
- High-spin to low-spin and orbital polarization transitions in multiorbital Mott systems
- Magnetic Moment Collapse-Driven Mott Transition in MnO
- First order character and observable signatures of topological quantum phase transitions
- Local Order and the gapped phase of the Hubbard model: a plaquette dynamical mean field investigation
- Metal-Insulator phase diagram and orbital selectivity in 3-orbital models with rotationally invariant Hund coupling
- Fidelity susceptibility made simple: A unified quantum Monte Carlo approach
- QIST: An open source continuous-time quantum Monte Carlo impurity solver toolkit
- Finite temperature fidelity susceptibility for one-dimensional quantum systems