Fractional charge and fractional statistics in the quantum Hall effects
DE Feldman, BI Halperin - Reports on Progress in Physics, 2021 - iopscience.iop.org
Quasiparticles with fractional charge and fractional statistics are key features of the fractional
quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics …
quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics …
Duality between (2+ 1) d quantum critical points
Duality refers to two equivalent descriptions of the same theory from different points of view.
Recently there has been tremendous progress in formulating and understanding possible …
Recently there has been tremendous progress in formulating and understanding possible …
Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
The presence of “upstream” modes, moving against the direction of charge current flow in
the fractional quantum Hall (FQH) phases, is critical for the emergence of renormalized …
the fractional quantum Hall (FQH) phases, is critical for the emergence of renormalized …
Distinguishing between non-abelian topological orders in a quantum Hall system
Quantum Hall states can harbor exotic quantum phases. The nature of these states is
reflected in the gapless edge modes owing to “bulk-edge” correspondence. The most …
reflected in the gapless edge modes owing to “bulk-edge” correspondence. The most …
Determination of topological edge quantum numbers of fractional quantum Hall phases by thermal conductance measurements
To determine the topological quantum numbers of fractional quantum Hall (FQH) states
hosting counter-propagating (CP) downstream (N d) and upstream (N u) edge modes, it is …
hosting counter-propagating (CP) downstream (N d) and upstream (N u) edge modes, it is …
Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene
SK Srivastav - Quantized Heat Flow as a Probe of Thermal …, 2024 - Springer
In the previous chapter, we discussed the thermal conductance measurement of integer
(\(\nu= 1, 2, 6\)) and a particle-like fractional (\(\nu= 4/3\)) quantum Hall states of the single …
(\(\nu= 1, 2, 6\)) and a particle-like fractional (\(\nu= 4/3\)) quantum Hall states of the single …
Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale
Two-dimensional topological insulators, and in particular quantum Hall states, are
characterized by an insulating bulk and a conducting edge. Fractional states may host both …
characterized by an insulating bulk and a conducting edge. Fractional states may host both …
Full Classification of Transport on an Equilibrated Edge via Shot Noise
The nature of the bulk topological order of the 5/2 non-Abelian fractional quantum Hall state
and the steady state of its edge are long-studied questions. The most promising non-Abelian …
and the steady state of its edge are long-studied questions. The most promising non-Abelian …
Localization and conductance in fractional quantum Hall edges
The fractional quantum Hall (FQH) effect gives rise to abundant topological phases,
presenting an ultimate platform for studying the transport of edge states. Generic FQH edge …
presenting an ultimate platform for studying the transport of edge states. Generic FQH edge …
Extracting the scaling dimension of quantum Hall quasiparticles from current correlations
Fractional quantum Hall quasiparticles are generally characterized by two quantum
numbers: electric charge Q and scaling dimension Δ. For the simplest states (such as the …
numbers: electric charge Q and scaling dimension Δ. For the simplest states (such as the …