Exciton Condensates in Double Quantum Wells: A Laboratory for nontrivial topologies and unconventional superconductivity
Tu\v{g}rul Hakio\v{g}lu, Mehmet Gunay, Ege Ozgun

TL;DR
This paper explores how exciton condensates in double quantum wells exhibit complex symmetry behaviors, including the emergence of mixed singlet-triplet states under spin-orbit coupling, and highlights their potential for unconventional superconductivity and topological phenomena.
Contribution
It demonstrates the influence of spin-orbit coupling and radiation field interactions on the symmetry and composition of exciton condensate ground states, revealing new possibilities for topological and superconducting phases.
Findings
Strong SOC induces mixed singlet and triplet ground states.
Dark excitonic components dominate in realistic radiation coupling.
Symmetry considerations reveal rich phase behavior in exciton condensates.
Abstract
It is shown that exciton condensates exhibit an incredible richness in the role that fundamental symmetries play whether manifest or broken. We investigate the appearance of the singlet and the triplet excitonic condensates under spin-orbit coupling (SOC) and consider realistic couplings to the radiation field as manipulated by the fundamental symmetries related to spin, time, orbital and particle degrees of freedom. The role of the strong SOC in inducing a ground state with coexisting singlet and triplet components is shown. It is also shown that the ground state of an excitonic condensate, in the realistic senario of spontaneous coupling to the radiation field, is dominated by a dark component transparent to photoluminescence.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Physics of Superconductivity and Magnetism · Quantum many-body systems
