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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

Identifying the topological order of the fractional quantum Hall state at filling ν= 5/2 is an
important step towards realizing non-Abelian Majorana modes in condensed matter physics …

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 …