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Fractional charge and fractional statistics in the quantum Hall effects
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 …
Colloquium: Quantum heat transport in condensed matter systems
In this Colloquium recent advances in the field of quantum heat transport are reviewed. This
topic has been investigated theoretically for several decades, but only during the past 20 …
topic has been investigated theoretically for several decades, but only during the past 20 …
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 …
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 …
Isolated ballistic non-abelian interface channel
The topological order of a quantum Hall state is mirrored by the gapless edge modes owing
to bulk-edge correspondence. The state at the filling of ν= 5/2, predicted to host non-abelian …
to bulk-edge correspondence. The state at the filling of ν= 5/2, predicted to host non-abelian …
Probing the spin structure of the fractional quantum Hall magnetoroton with polarized Raman scattering
Starting from the Luttinger model for the band structure of GaAs, we derive an effective
theory that describes the coupling of the fractional quantum Hall (FQH) system with photons …
theory that describes the coupling of the fractional quantum Hall (FQH) system with photons …
Stability of the particle-hole Pfaffian state and the -fractional quantum Hall effect
We present a method for the exact construction of the fully particle-hole symmetric Pfaffian
(PH-Pfaffian) ground state and its charged excitations on a sphere. We adopt the Moore …
(PH-Pfaffian) ground state and its charged excitations on a sphere. We adopt the Moore …
Energy minimization of paired composite fermion wave functions in the spherical geometry
We perform the energy minimization of the paired composite fermion (CF) wave functions,
proposed by Möller and Simon (MS)[Phys. Rev. B 77, 075319 (2008) 1098-0121 …
proposed by Möller and Simon (MS)[Phys. Rev. B 77, 075319 (2008) 1098-0121 …
Emergence of neutral modes in Laughlin-like fractional quantum Hall phases
Chiral gapless boundary modes are characteristic of quantum Hall (QH) states. For hole-
conjugate fractional QH phases counterpropagating edge modes (upstream and …
conjugate fractional QH phases counterpropagating edge modes (upstream and …
Identifying the Topological Order through Charge Transport Measurements
We propose an experiment to identify the topological order of the ν= 5 2 state through a
measurement of the electric conductance of a mesoscopic device. Our setup is based on …
measurement of the electric conductance of a mesoscopic device. Our setup is based on …