Bulk Pumping in 2D Topological Phases
arXiv:1807.01710 · doi:10.1103/PhysRevB.99.035150
Abstract
The notion of topological (Thouless) pumping in topological phases is traditionally associated with Laughlin's pump argument for the quantization of the Hall conductance in two-dimensional (2D) quantum Hall systems. It relies on magnetic flux variations that thread the system of interest without penetrating its bulk, in the spirit of Aharonov-Bohm effects. Here we explore a different paradigm for topological pumping induced, instead, by magnetic flux variations inserted through the bulk of topological phases. We show that generically controls the analog of a topological pump, accompanied by robust physical phenomena. We demonstrate this concept of bulk pumping in two paradigmatic types of 2D topological phases: integer and fractional quantum Hall systems and topological superconductors. We show, in particular, that bulk pumping provides a unifying connection between seemingly distinct physical effects such as density variations described by Streda's formula in quantum Hall phases, and fractional Josephson currents in topological superconductors. We discuss the generalization of bulk pumping to other types of topological phases.
arXiv comment17 pages, 5 figures
References in corpus (49)
- Topological Insulators
- Topological insulators and superconductors
- Non-Abelian Anyons and Topological Quantum Computation
- Anyons in an exactly solved model and beyond
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- New directions in the pursuit of Majorana fermions in solid state systems
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Topological Crystalline Insulators
- Topological Materials: Weyl Semimetals
- Topological Crystalline Insulators in the SnTe Material Class
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Topological response in Weyl semimetals and the chiral anomaly
- Symmetry-based Indicators of Band Topology in the 230 Space Groups
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- The space group classification of topological band insulators
- Topological Thouless Pumping of Ultracold Fermions
- Riemannian symmetric superspaces and their origin in random matrix theory
- Chiral Topological Superconductor From the Quantum Hall State
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Discovery of Weyl fermion semimetals and topological Fermi arc states
- Exotic non-Abelian anyons from conventional fractional quantum Hall states
- Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
- The Fractional Quantum Hall effect in an array of quantum wires
- From Luttinger liquid to non-Abelian quantum Hall states
- Fractionalizing Majorana fermions: non-abelian statistics on the edges of abelian quantum Hall states
- Superconducting Proximity Effect on the Edge of Fractional Topological Insulators
- Anomaly related transport of Weyl fermions for Weyl semi-metals
- Axion response in Weyl semimetals
- Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly
- Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states
- Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States.
- Triangle anomaly in Weyl semi-metals
- Wire deconstructionism of two-dimensional topological phases
- Tunneling of anyonic Majorana excitations in topological superconductors
- An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
- Majorana Modes in Driven-Dissipative Atomic Superfluids With Zero Chern Number
- Creating, probing, and manipulating fractionally charged excitations of fractional Chern insulators in optical lattices
- Chiral Electronics
- Floquet engineering of optical solenoids and quantized charge pumping along tailored paths in two-dimensional Chern insulators
- Designer non-Abelian anyon platforms: from Majorana to Fibonacci
- Fractional chiral superconductors
- Simulating Chiral Magnetic and Separation Effects with Spin-Orbit Coupled Atomic Gases
- Competing Adiabatic Thouless Pumps in Enlarged Parameter Spaces
- Controlled parity switch of persistent currents in quantum ladders