Information-theoretic measures of superconductivity in a two-dimensional doped Mott insulator

Abstract

A key open issue in condensed matter physics is how quantum and classical correlations emerge in an unconventional superconductor from the underlying normal state. We study this problem in a doped Mott insulator with information theory tools on the two-dimensional Hubbard model at finite temperature with cluster dynamical mean-field theory. We find that the local entropy detects the superconducting state and that the difference in the local entropy between the superconducting and normal states follows the same difference in the potential energy. We find that the thermodynamic entropy is suppressed in the superconducting state and monotonically decreases with decreasing doping. The maximum in entropy found in the normal state above the overdoped region of the superconducting dome is obliterated by superconductivity. The total mutual information, which quantifies quantum and classical correlations, is amplified in the superconducting state of the doped Mott insulator for all doping levels, and shows a broad peak versus doping, as a result of competing quantum and classical effects.

8 pages, 4 figures, and supplementary information; accepted version

References in corpus (14)

• Continuous-time Monte Carlo methods for quantum impurity models
• Area laws in quantum systems: mutual information and correlations
• On the quantum, classical and total amount of correlations in a quantum state
• Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
• Energetics of superconductivity in the two dimensional Hubbard model
• Universal Thermal Corrections to Single Interval Entanglement Entropy for Conformal Field Theories
• Doping Dependence of the Redistribution of Optical Spectral Weight in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
• Unified electronic phase diagram for hole-doped high-Tc cuprates
• Thermodynamics of the Quantum Critical Point at Finite Doping in the 2D Hubbard Model: A Dynamical Cluster Approximation Study
• Thermopower across the phase diagram of the cuprate La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$ : signatures of the pseudogap and charge-density-wave phases
• Critical Opalescence across the Doping Driven Mott Transition in Optical Lattices of Ultracold Atoms
• Macroscopic Entanglement and Phase Transitions
• Information-theoretic measures of superconductivity in a two-dimensional doped Mott insulator

Cited by in corpus (11)

• Quasilocal entanglement across the Mott-Hubbard transition
• Mutual information, quantum phase transition, and phase coherence in Kondo systems
• Information-theoretic measures of superconductivity in a two-dimensional doped Mott insulator
• Prediction of anomalies in the velocity of sound for the pseudogap of hole-doped cuprates
• Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling
• Superconductivity in the two-dimensional Hubbard model with cellular dynamical mean-field theory: a quantum impurity model analysis
• Next-generation EDIpack: A Lanczos-based package for quantum impurity models featuring general broken-symmetry phases, flexible bath topologies and multi-platform interoperability
• Entanglement detection in quantum materials with competing orders
• Ambipolar doping of a charge-transfer insulator in the Emery model
• Spin-charge correlations in finite one-dimensional multi-band Fermi systems
• Dynamics of superconducting pairs in the two-dimensional Hubbard model