Edge states and the quantized Hall effect in graphene

L Brey, HA Fertig - Physical Review B, 2006 - APS
… We study edges states of graphene ribbons in the quantized Hall regime, and show that they
can be described within a continuum model the Dirac equation when appropriate boundary …

Surface edge state and half-quantized Hall conductance in topological insulators

RL Chu, J Shi, SQ Shen - Physical Review B, 2011 - APS
… -quantized Hall conductance can be manifested in an appropriate experimental setup. We
also predict that the quantized anomalous Hall effect … We show that these surface edge states

Nondissipative spin Hall effect via quantized edge transport

L Sheng, DN Sheng, CS Ting, FDM Haldane - Physical review letters, 2005 - APS
… distinct from the conventional integer quantum Hall effect (IQHE). In par… states are edge
states in openboundary systems, the nearly quantized SHE is essentially a stable bulk effect

Edge states in the fractional-quantum-Hall-effect regime

AH MacDonald - Physical review letters, 1990 - APS
Hall eAect and other quantum … In this Letter we generalize the edge-state picture to the
fractional-quantumHall-efl'ect (FQHE) regime. We predict the existence of a set of edge-state

Chern number and edge states in the integer quantum Hall effect

Y Hatsugai - Physical review letters, 1993 - APS
quantum Hall efI'ect on a square lattice in a uniform rational magnetic field. The relation between
two different interpretationsof the Hall … number of the edge state. In the TKNN form of the …

Analogs of quantum-Hall-effect edge states in photonic crystals

S Raghu, FDM Haldane - Physical Review A, 2008 - APS
… main features of the quantum Hall effect to photonic systems, … “chiral” unidirectional quantum
Hall edge states in photonic … of the chiral edge states of the integer quantum Hall effect can …

Edge and surface states in the quantum Hall effect in graphene

AH Castro Neto, F Guinea, NMR Peres - Physical Review B—Condensed …, 2006 - APS
… We study the integer and fractional quantum Hall effect on a honeycomb lattice at half-filling …
We show that the interactions between the delocalized chiral edge states generated by the …

Edge states in the integer quantum Hall effect and the Riemann surface of the Bloch function

Y Hatsugai - Physical Review B, 1993 - APS
… We study edge states in the integral quantum Hall effect on a square lattice in a rational …
has two edges in the z direction. We have found that the energies of the edge states are given by …

Half-quantized Hall effect and power law decay of edge-current distribution

JY Zou, B Fu, HW Wang, ZA Hu, SQ Shen - Physical Review B, 2022 - APS
quantum Hall effect and quantum anomalous Hall effect [35,36], the half-quantized Hall effect
… of well-defined chiral edge states as the number of chiral edge states cannot be half of an …

Theory of the edge states in fractional quantum Hall effects

XG Wen - International journal of modern physics B, 1992 - World Scientific
… The dynamical theory of the edge excitations of generic fractional quantum Hall (FQH) states
… In particular, the tunneling between edge states is shown to be a powerful tool to probe the …