Correlated insulator in two Coulomb-coupled quantum wires

Abstract

Motivated by the recently discovered incompressible insulating phase in the bilayer graphene exciton experiment [arXiv:2306.16995], we study using bosonization two Coulomb-coupled spinless quantum wires and examine the possibility of realizing the similar phenomenology in one dimension. We explore the possible phases as functions of $k_F$'s and interactions. We show that an incompressible insulating phase can arise for two lightly doped electron-hole quantum wires (i.e., $k_{F1}=-k_{F2}$ and small $|k_{F1}|$) due to strong interwire interactions. Such an insulating phase forms a parity-even wire-antisymmetric charge density wave without interwire phase coherence, which melts to a phase allowing for a perfect negative drag upon heating. The finite-temperature response is qualitatively consistent with the ``exciton solid'' phenomenology in the bilayer graphene exciton experiment.

11 pages, 4 figures. Published version

References in corpus (4)

• Exciton Condensation and Perfect Coulomb Drag
• Coulomb drag between helical edge states
• Coulomb drag between helical Luttinger liquids
• Exciton Quasi-Condensation in One Dimensional Systems

Cited by in corpus (2)

• Composite helical edges from Abelian fractional topological insulators
• Symmetric localization of ${\nu }_{\text{tot}}=4/3$ fractional topological insulator edges