Simultaneous fermion and exciton condensations from a model Hamiltonian

Abstract

Fermion-exciton condensation in which both fermion-pair (i.e., superconductivity) and exciton condensations occur simultaneously in a single coherent quantum state has recently been conjectured to exist. Here, we capture the fermion-exciton condensation through a model Hamiltonian that can recreate the physics of this new class of highly correlated condensation phenomena. We demonstrate that the Hamiltonian generates the large-eigenvalue signatures of fermion-pair and exciton condensations for a series of states with increasing particle numbers. The results confirm that the dual-condensate wave function arises from the entanglement of fermion-pair and exciton wave functions, which we previously predicted in the thermodynamic limit. This model Hamiltonian -- generalizing well-known model Hamiltonians for either superconductivity or exciton condensation -- can explore a wide variety of condensation behavior. It provides significant insights into the required forces for generating a fermion-exciton condensate, which will likely be invaluable for realizing such condensations in realistic materials with applications from superconductors to excitonic materials.

References in corpus (11)

• Evidence of high-temperature exciton condensation in 2D atomic double layers
• High-temperature superfluidity with indirect excitons in van der Waals heterostructures
• Room-Temperature Superfluidity in Graphene Bilayers
• Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion
• Correlating AGP on a quantum computer
• Symmetry Breaking and Convex Set Phase Diagrams for the q-state Potts Model
• Potential Coexistence of Exciton and Fermion Pair Condensations
• On the Thermodynamic Limit of the Lipkin Model
• Quantum magnetism of iron-based ladders: Blocks, spirals, and spin flux
• Exact ground state for a class of matrix Hamiltonian models: quantum phase transition and universality in the thermodynamic limit
• Multiple metastable states in an off-lattice Potts model

Cited by in corpus (2)

• Entangled phase of simultaneous fermion and exciton condensations realized
• Quantum Phase Transitions in a Model Hamiltonian Exhibiting Entangled Simultaneous Fermion-Pair and Exciton Condensations