Bloch-Zener oscillations across a merging transition of Dirac points

Abstract

Bloch oscillations are a powerful tool to investigate spectra with Dirac points. By varying band parameters, Dirac points can be manipulated and merged at a topological transition towards a gapped phase. Under a constant force, a Fermi sea initially in the lower band performs Bloch oscillations and may Zener tunnel to the upper band mostly at the location of the Dirac points. The tunneling probability is computed from the low energy universal Hamiltonian describing the vicinity of the merging. The agreement with a recent experiment on cold atoms in an optical lattice is very good.

4 pages, 4 figures; (v2) added refs and Supplementary Material with 1 figure

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Cited by in corpus (101)

• Experimental realisation of the topological Haldane model
• Artificial graphene as a tunable Dirac material
• Topological quantum matter with cold atoms
• Merging of Dirac points and Floquet topological transitions in AC driven graphene
• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Topological transition of Dirac points in a microwave experiment
• Artificial graphene with tunable interactions
• Geometric orbital susceptibility: quantum metric without Berry curvature
• Valleytronics in merging Dirac cones: All-electric-controlled valley filter, valve and universal reversible logic gate
• Tomography of band insulators from quench dynamics
• Tilted and type-III Dirac cones emerging from flat bands in photonic orbital graphene
• Tight-binding couplings in microwave artificial graphene
• Detecting Topological Phases in Cold Atoms
• Non-perturbative stochastic method for driven spin-boson model
• Quantum simulation of exotic PT-invariant topological nodal loop bands with ultracold atoms in an optical lattice
• Simulating and exploring Weyl semimetal physics with cold atoms in a two-dimensional optical lattice
• Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices
• Symmetry protected topological phases characterized by isolated exceptional points
• Semi-Dirac Transport and Anisotropic Localization in Polariton Honeycomb Lattices
• Diffusion of Dirac fermions across a topological merging transition in two dimensions
• Effects of periodic kicking on dispersion and wave packet dynamics in graphene
• Semi-Dirac Semimetal in Silicene Oxide
• Geometry of Bloch states probed by Stückelberg interferometry
• Winding vector: how to annihilate two Dirac points with the same charge
• The Realization and Dectection of Weyl Semimetals and Chiral Anomaly in Cold Atomic Systems
• Hybrid exceptional point created from type III Dirac point
• Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
• How to directly observe Landau levels in driven-dissipative strained honeycomb lattices
• Double transfer through Dirac points in a tunable honeycomb optical lattice
• Tight binding models for ultracold atoms in honeycomb optical lattices
• Observation of valley Landau-Zener-Bloch oscillations and pseudospin imbalance in photonic graphene
• Dynamical polarization and plasmons in a two-dimensional system with merging Dirac points
• Ultracold Spin-Orbit Coupled Bose-Einstein Condensate in a Cavity: Route to Magnetic Phases Through Cavity Transmission
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• Quantum phases in tunable state-dependent hexagonal optical lattices
• Inter-band tunneling near the merging transition of Dirac cones
• Unifying Interacting Nodal Semimetals: A New Route to Strong Coupling
• Realizing non-Abelian gauge potentials in optical square lattices: Application to atomic Chern insulators
• Triplon band splitting and topologically protected edge states in the dimerized antiferromagnet
• Exploring topological double-Weyl semimetals with cold atoms in optical lattices
• Mass and chirality inversion of a Dirac cone pair in Stückelberg interferometry
• Artificial graphenes: Dirac matter beyond condensed matter
• Coupling, merging, and splitting Dirac points by electron-electron interaction
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• Quantum sweeps, synchronization, and Kibble-Zurek physics in dissipative quantum spin systems
• Effect of disorder on 2D topological merging transition from a Dirac semi-metal to a normal insulator
• Wannier-Stark states in double-periodic lattices I: one-dimensional lattices
• Entanglement entropy as an order parameter for strongly coupled nodal line semimetals
• Self-consistent tight-binding description of Dirac points moving and merging in two dimensional optical lattices
• Bloch oscillations of spin-orbit-coupled cold atoms in an optical lattice and spin current generation
• Interaction induced mergence of Dirac points in Non-Abelian optical lattices
• Triangular and Honeycomb Lattices of Cold Atoms in Optical Cavities
• Bloch-Landau-Zener dynamics in single-particle Wannier-Zeeman systems
• Generalized Hofstadter model on a cubic optical lattice: From nodal bands to the three-dimensional quantum Hall effect
• An equivalence between monolayer and bilayer honeycomb lattices
• Evolution of the Hofstadter butterfly in a tunable optical lattice
• Topological phases of the Kitaev-Hubbard Model at half-filling
• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
• Topological metal bands with double-triple-point fermions in optical lattices
• Coulomb interactions and renormalization of semi-Dirac fermions near a topological Lifshitz transition
• Shear viscosity as a probe of nodal topology
• Quantum electrodynamics in anisotropic and tilted Dirac photonic lattices
• The nonlinear Dirac equation in Bose-Einstein condensates: Superfluid fluctuations and emergent theories from relativistic linear stability equations
• Electronic Bloch oscillation in bilayer graphene gradient superlattices
• Geometric phase in Stückelberg interferometry
• High Landau levels of 2D electrons near the topological transition caused by interplay of spin-orbit and Zeeman energy shifts
• Interaction-driven quantum anomalous Hall insulator in Dirac semimetal
• The scaling of entanglement entropy in a honeycomb lattice on a torus
• Anisotropic Pseudospin Tunneling in Two-Dimensional Black Phosphorus Junctions
• Wannier-Stark states in double-periodic lattices II: two-dimensional lattices
• Dirac fermions in graphene and analogues: magnetic field and topological properties
• Cooper instability generated by attractive fermion-fermion interaction in the two-dimensional semi-Dirac semimetals
• Topological van Hove singularities at phase transitions in Weyl metals
• Topological obstructed atomic limit by annihilating Dirac fermions
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Rashba-splitting of the Dirac points and the symmetry breaking in the strained artificial graphene
• Spin echo dynamics under an applied drift field in graphene nanoribbon superlattices
• Topological transitions in a model with Particle-Hole symmetry, Pancharatnam-Berry Curvature and Dirac Points
• Irregular Bloch Zener oscillations in two-dimensional flat-band Dirac materials
• Honeycomb supersolid -- Dirac points and shear-instability induced crystal transitions
• Dynamic Symmetries and Quantum Nonadiabatic Transitions
• Ab initio analysis of the topological phase diagram of the Haldane model
• Interlayer magnetoresistance in multilayer Dirac electron systems: motion and merging of Dirac cones
• An experimental scheme for determining the Berry phase in two-dimensional quantum materials with a flat band
• Matter waves in two-dimensional arbitrary atomic crystals
• Dirac points merging and wandering in a model Chern insulator
• Fermion dispersion renormalization in a two-dimensional semi-Dirac semimetal
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Matter Waves in Atomic Artificial Graphene
• Singular low-energy states of tilted Dirac semimetals induced by the fermion-fermion interactions
• Deep-lying semi-Dirac fermions in hexagonal close-packed cadmium
• Tunable plasmon modes and topological transitions in single- and bilayer semi-Dirac materials
• Nonadiabatic transition at a band-touching point
• Topology of contact points in Lieb-kagomé model
• Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and Non-Abelian Gauge Field
• Crystalline symmetry-protected non-trivial topology in prototype compound BaAl${}_4$
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals
• Critical magnetic flux for Weyl points in the three-dimensional Hofstadter model