Simultaneous fermion and exciton condensations from a model Hamiltonian
- URL: http://arxiv.org/abs/2301.00670v1
- Date: Thu, 29 Dec 2022 18:30:46 GMT
- Title: Simultaneous fermion and exciton condensations from a model Hamiltonian
- Authors: LeeAnn M. Sager and David A. Mazziotti
- Abstract summary: We capture fermion-exciton condensation through a model Hamiltonian.
Fermion-pair and exciton condensation occur simultaneously in a single coherent quantum state.
The results confirm that the dual-condensate wave function arises from the entanglement of fermion-pair and exciton wave functions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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