Symmetry-protected spin gaps in quantum wires

Abstract

This work shows that a strongly correlated phase which is gapped to collective spin excitations but gapless to charge fluctuations emerges as a universal feature in one-dimensional fermionic systems obeying certain symmetries. Namely, nanowires interacting via Coulomb repulsion which are symmetric under time-reversal and spatial inversion symmetry exhibit spin gaps whenever one pair of spin-degenerate subbands is occupied and an arbitrarily weak spin-orbit interaction is present. This general result is independent of the details of the one-dimensional confinement, the fermionic spin or nature of the spin-orbit interaction. In narrow-gap semiconductors, this gap may be of order 10 \textmu eV. This strongly correlated phase may be identified both via an anomalous $h/2e$ flux periodicity in Aharonov-Bohm oscillations and $2e$ periodic Coulomb blockade, features which reflect the existence of fermionic pairing despite the absence of superconductivity and the repulsive nature of the interaction.

References in corpus (15)

• Majorana Edge States in Interacting Two-chain Ladders of Fermions
• Majorana edge states in two atomic wires coupled by pair-hopping
• Spin-orbit coupling in interacting quasi-one-dimensional electron systems
• Topological states in a microscopic model of interacting fermions
• Spin-orbit induced spin-density wave in a quantum wire
• Crystalline Symmetry-Protected Majorana Mode in Number-Conserving Dirac Semimetal Nanowires
• The Luther-Emery liquid: Spin gap and anomalous flux period
• Dynamic response functions and helical gaps in interacting Rashba nanowires with and without magnetic fields
• Strongly anisotropic spin response as a signature of the helical regime in Rashba nanowires
• Luttinger liquid with strong spin-orbital coupling and Zeeman splitting in quantum wires
• Helical gaps in interacting Rashba wires at low electron densities
• Ising anyonic topological phase of interacting Fermions in one dimension
• Transmission through a potential barrier in Luttinger liquids with a topological spin gap
• Transport properties for a Luttinger liquid wire with Rashba spin-orbit coupling and Zeeman splitting
• Coulomb-interaction-induced Majorana edge modes in nanowires

Cited by in corpus (1)

• Electron-electron interactions in partially mixed helical states