Correlated insulating states in carbon nanotubes controlled by magnetic field
arXiv:2210.07254 · doi:10.1103/PhysRevB.106.235141
Abstract
We investigate competing insulating phases in nearly metallic zigzag carbon nanotubes, under conditions where an applied magnetic flux approximately closes the single particle gap in one valley. Recent experiments have shown that an energy gap persists throughout magnetic field sweeps where the single-particle picture predicts that the gap should close and reopen. Using a bosonic low-energy effective theory to describe the interplay between electron-electron interactions, spin-orbit coupling, and magnetic field, we obtain a phase diagram consisting of several competing insulating phases that can form in the vicinity of the single-particle gap closing point. We characterize these phases in terms of spin-resolved charge polarization densities, each of which can independently take one of two possible values consistent with the mirror symmetry of the system, or can take an intermediate value through a spontaneous mirror symmetry breaking transition. In the mirror symmetry breaking phase, adiabatic changes of the orbital magnetic flux drive charge and spin currents along the nanotube. We discuss the relevance of these results to recent and future experiments.
References in corpus (28)
- Maximally localized Wannier functions: Theory and applications
- Luttinger Liquid Behavior in Carbon Nanotubes
- Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes
- The Quantum-Mechanical Position Operator in Extended Systems
- Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes
- Coupling of Spin and Orbital Motion of Electrons in Carbon Nanotubes
- Effective low-energy theory for correlated carbon nanotubes
- Quantum transport in carbon nanotubes
- Franck-Condon blockade in suspended carbon nanotube quantum dots
- A valley-spin qubit in a carbon nanotube
- Correlation Effects in Carbon Nanotubes
- Relaxation and Dephasing in a Two-electron 13C Nanotube Double Quantum Dot
- Spin-orbit interaction and anomalous spin relaxation in carbon nanotube quantum dots
- Large spin-orbit coupling in carbon nanotubes
- Real-Space Tailoring of the Electron-Phonon Coupling in Ultra-Clean Nanotube Mechanical Resonators
- Low Energy Properties of the (n,n) Carbon Nanotubes
- Imaging the Wigner Crystal of Electrons in One Dimension
- Spin-orbit-induced strong coupling of a single spin to a nanomechanical resonator
- Bends In Nanotubes Allow Electric Spin Control and Coupling
- Carbon nanotubes as excitonic insulators
- Spin relaxation due to deflection coupling in nanotube quantum dots
- Narrow gap Luttinger liquid in Carbon nanotubes
- Electron-vibron coupling in suspended carbon nanotube quantum dots
- Spin-Orbit Effects in Carbon-Nanotube Double Quantum Dots
- Topological transitions and fractional charges induced by strain and magnetic field in carbon nanotubes
- Electron spin relaxation via flexural phonon modes in semiconducting carbon nanotubes
- Phase diagrams of the metallic zigzag carbon nanotube
- Anomalous magnetization of a carbon nanotube as an excitonic insulator