Two-dimensional electron systems in a quantizing magnetic field are regarded as of exceptional interest, considering the possible role of anyons-quasiparticles with non-boson and non-fermion statistics-in applied physics. To this day, essentially none but the fractional states of the quantum Hall effect (FQHE) have been experimentally realized as a system with anyonic statistics. In determining the thermodynamic properties of anyon matter, it is crucial to gain insight into the physics of its neutral excitations. We form a macroscopic quasi-equilibrium ensemble of neutral excitations - spin one anyon complexes in the Laughlin state ν = 1/3, experimentally, where ν is the electron filling factor. The ensemble is found to have such a long lifetime that it can be considered the new state of anyon matter. The properties of this state are investigated by optical techniques to reveal its Bose properties.
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http://dx.doi.org/10.1038/s41467-021-26873-w | DOI Listing |
Phys Rev Lett
November 2024
Department of Physics, Emory University, 400 Dowman Drive, Atlanta, Georgia 30322, USA.
The discovery of fractional Chern insulators (FCIs) in twisted bilayer MoTe_{2} has sparked significant interest in fractional topological matter without external magnetic fields. Unlike the flat dispersion of Landau levels, moiré electronic states are influenced by lattice effects within a nanometer-scale superlattice. This Letter examines the impact of these lattice effects on the topological phases in twisted bilayer MoTe_{2}, uncovering a family of FCIs with Abelian anyonic quasiparticles.
View Article and Find Full Text PDFNature
November 2024
Department of Physics, Princeton University, Princeton, NJ, USA.
Phys Rev E
September 2024
Departamento de Física, Universidade Federal do Rio Grande do Norte, 59078-900 Natal, RN, Brazil.
We study the thermodynamics of a crystalline solid by applying intermediate statistics obtained by deforming known solid state models using the mathematics of q analogs. We apply the resulting q deformation to both the Einstein and Debye models and study the deformed thermal and electrical conductivities and the deformed Debye specific heat. We find that the q deformation acts in two different ways-but not necessarily as independent mechanisms.
View Article and Find Full Text PDFPhys Rev Lett
March 2024
School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom.
Phys Rev Lett
November 2023
Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel.
We propose a method to extract the mutual exchange statistics of the anyonic excitations of a general Abelian fractional quantum Hall state, by comparing the tunneling characteristics of a quantum point contact in two different experimental conditions. In the first, the tunneling current between two edges at different chemical potentials is measured. In the second, one of these edges is strongly diluted by an earlier point contact.
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