Fig. 1
The 2/3 hole-conjugate state and its synthetized form. a The unequilibrated v = 2/3 state; composed of two counter-propagating chiral modes: a downstream v = 1 mode and an upstream v = 1/3 Laughlin excitation mode. Red and blue represent electron density profile of independent v = 1 and v = 1/3 modes at the edges, respectively. b Equivalent two-terminal conductance in the unequilibrated regime. c The inter-edge scattering results in edge density profile reconstruction: coexistence of a downstream v = 2/3 mode and an upstream neutral mode. d Equivalent two-terminal conductance in the equilibrated regime. e Schematics of the device. A v = 1 edge mode of the first LL belonging to SB1 and having spin ↑, flows around the whole region of the sample. A v = 1 edge mode of the first LL belonging to SB2, having spin ↑, flows only around the upper region. A v = 1/3 mode of the second LL of SB1, having spin ↓, flows around the lower region. Thus, at the interface of the two regions, a v = 1 and a v = 1/3 modes counterpropagate
