Paired parton quantum Hall states: a coupled wire construction
| Autor: | Jeffrey C. Y. Teo, Sharmistha Sahoo, Alexander Sirota, Gil Young Cho |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
education.field_of_study Strongly Correlated Electrons (cond-mat.str-el) Population FOS: Physical sciences Parton Pfaffian 02 engineering and technology Landau quantization Quantum Hall effect 021001 nanoscience & nanotechnology Condensed Matter::Mesoscopic Systems and Quantum Hall Effect 01 natural sciences Quantization (physics) Condensed Matter - Strongly Correlated Electrons Topological insulator 0103 physical sciences Quasiparticle 010306 general physics 0210 nano-technology education Nuclear Experiment Mathematical physics |
| Popis: | The Pfaffian fractional quantum Hall (FQH) states are incompressible non-Abelian topological fluids present in a half-filled electron Landau level, where there is a balanced population of electrons and holes. They give rise to half-integral quantum Hall plateaus that divide critical transitions between integer quantum Hall (IQH) states. On the other hand, there are Abelian FQH states, such as the Laughlin state, that can be understood using partons, which are fermionic divisions of the electron. In this paper, we propose a new family of incompressible paired parton FQH states at filling $\nu=1/6$ (modulo 1) that emerge from critical transitions between IQH states and Abelian FQH states at filling $\nu=1/3$ (modulo 1). These paired parton states are originated from a half-filled parton Landau level, where there is an equal amount of partons and holes. They generically support Ising-like anyonic quasiparticle excitations and carry non-Abelian Pfaffian topological orders (TO) for partons. We prove the principle existence of these paired parton states using exactly solvable interacting arrays of electronic wires under a magnetic field. Moreover, we establish a new notion of particle-hole (PH) symmetry for partons and relate the PH symmetric parton Pfaffian TO with the gapped symmetric surface TO of a fractional topological insulator in three dimension. Comment: 34 pages, 12 figures |
| Databáze: | OpenAIRE |
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