Deconfined fractionally charged excitation in any dimensions

2011/04/25 by Chyh-Hong Chern, Po-Hao Huang, Hong-Hsi Lee · 1 citation
Physics and Astronomy · #Charge (physics) #Compressibility #Electric charge #Excitation #Lattice (music) #Physics of Superconductivity and Magnetism #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Square (algebra) #Square lattice #cond-mat.str-el

paper · pdf · doi:10.1016/j.aop.2013.01.011

published in Annals of Physics 332, 16-26 (Elsevier BV) · 4.3 pages, 4 figures

arxiv created 2011/04/25 · openalex publication_date 2012/05/01 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

An exact incompressible quantum liquid is constructed at the filling factor 1/m² in square lattice. It supports deconfined fractionally charged excitation. At the filling factor 1/m², the excitation has fractional charge ± e/m², where e is the electric charge. This model can be easily generalized to the integer lattice in any D dimensions, where the charge of excitations becomes ± e/m^D.

Citations

• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• Featureless Mott insulators
• Incompressible Quantum Liquids and New Conservation Laws
• Irrational Versus Rational Charge and Statistics in Two-Dimensional Quantum Systems
• Theory of four-dimensional fractional quantum Hall states
• Electron Fractionalization in Two-Dimensional Graphenelike Structures
• Mott Insulators without Symmetry Breaking