Berry phase jumps and giant nonreciprocity in Dirac quantum dots

Abstract

We predict that a strong nonreciprocity in the resonance spectra of Dirac quantum dots can be induced by the Berry phase. The nonreciprocity arises in relatively weak magnetic fields and is manifest in anomalously large field-induced splittings of quantum dot resonances which are degenerate at $B=0$ due to time-reversal symmetry. This exotic behavior, which is governed by field-induced jumps in the Berry phase of confined electronic states, is unique to quantum dots in Dirac materials and is absent in conventional quantum dots. The effect is strong for gapless Dirac particles and can overwhelm the $B$-induced orbital and Zeeman splittings. A finite Dirac mass suppresses the effect. The nonreciprocity, predicted for generic two-dimensional Dirac materials, is accessible through Faraday and Kerr optical rotation measurements and scanning tunneling spectroscopy.

6 pages, 6 figures

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Cited by in corpus (19)

• An On/Off Berry Phase Switch in Circular Graphene Resonators
• Recent progresses of quantum confinement in graphene quantum dots
• Interaction Driven Quantum Hall Wedding cake-like Structures in Graphene Quantum Dots
• Relativistic Artificial Molecules Realized by Two Coupled Graphene Quantum Dots
• A Movable Valley Switch Driven by Berry Phase in Bilayer Graphene Resonators
• Observation of Giant Orbital Magnetic Moments and Paramagnetic Shift in Artificial Relativistic Atoms and Molecules
• Spatial Confinement, Magnetic Localization and Their Interactions on Massless Dirac Fermions
• Spatial and Magnetic Confinement of Massless Dirac Fermions
• Dirac fermion optics and directed emission from single- and bilayer graphene cavities
• Landau level collapse in graphene in the presence of in-plane radial electric and perpendicular magnetic fields
• Berry-phase switch in electrostatically-confined topological surface states
• Chaos based Berry phase detector
• An experimental scheme for determining the Berry phase in two-dimensional quantum materials with a flat band
• Anomalous in-gap edge states in two-dimensional pseudospin-1 Dirac insulators
• Chiral spin channels in curved graphene $pn$ junctions
• WKB energy levels in gapped graphene under crossed electromagnetic fields
• Atomic collapse of high-order singular potentials in graphene
• Continuously Tunable Berry Phase and Valley-Polarized Energy Spectra in Bilayer Graphene Quantum Dots
• Scanning tunneling microscope characterizations of a circular graphene resonator realized with p-p junctions