scholarly journals Transport between edge states in multilayer integer quantum Hall systems: Exact treatment of Coulomb interactions and disorder

2005 ◽  
Vol 72 (23) ◽  
Author(s):  
J. W. Tomlinson ◽  
J.-S. Caux ◽  
J. T. Chalker
Keyword(s):  
Quantum Hall ◽  
Edge States ◽  
Coulomb Interactions ◽  
Quantum Hall Systems ◽  
Integer Quantum

scholarly journals Systematic study of nonideal contacts in integer quantum Hall systems

2009 ◽  
Vol 80 (23) ◽  
Author(s):  
Christoph Uiberacker ◽  
Christian Stecher ◽  
Josef Oswald
Keyword(s):  
Systematic Study ◽  
Quantum Hall ◽  
Quantum Hall Systems ◽  
Integer Quantum

scholarly journals Quantum parity Hall effect in Bernal-stacked trilayer graphene

2019 ◽  
Vol 116 (21) ◽  
pp. 10286-10290 ◽  
Author(s):  
Petr Stepanov ◽  
Yafis Barlas ◽  
Shi Che ◽  
Kevin Myhro ◽  
Greyson Voigt ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Exchange Interactions ◽  
Mirror Reflection ◽  
Edge States ◽  
State Variables ◽  
Coulomb Interactions ◽  
Spin Polarized ◽  
Trilayer Graphene

The quantum Hall effect has recently been generalized from transport of conserved charges to include transport of other approximately conserved-state variables, including spin and valley, via spin- or valley-polarized boundary states with different chiralities. Here, we report a class of quantum Hall effect in Bernal- or ABA-stacked trilayer graphene (TLG), the quantum parity Hall (QPH) effect, in which boundary channels are distinguished by even or odd parity under the system’s mirror reflection symmetry. At the charge neutrality point, the longitudinal conductance σxx is first quantized to 4e2/h at a small perpendicular magnetic field B⊥, establishing the presence of four edge channels. As B⊥ increases, σxx first decreases to 2e2/h, indicating spin-polarized counterpropagating edge states, and then, to approximately zero. These behaviors arise from level crossings between even- and odd-parity bulk Landau levels driven by exchange interactions with the underlying Fermi sea, which favor an ordinary insulator ground state in the strong B⊥ limit and a spin-polarized state at intermediate fields. The transitions between spin-polarized and -unpolarized states can be tuned by varying Zeeman energy. Our findings demonstrate a topological phase that is protected by a gate-controllable symmetry and sensitive to Coulomb interactions.

Topological Aspects of Quantum Hall Fluid and Berry Phase

1998 ◽  
Vol 12 (26) ◽  
pp. 2649-2707 ◽  
Author(s):  
Banasri Basu ◽  
P. Bandyopadhyay
Keyword(s):  
Quantum Hall Effect ◽  
Berry Phase ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Chiral Anomaly ◽  
Edge States ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Systems ◽  
Characteristic Features

We have analyzed here the recent development towards our understanding of the Integral and Fractional Quantum Hall effect. It has been pointed out that the chiral anomaly and Berry phase approach embraces in a unified way the whole spectrum of quantum Hall systems with their various characteristic features. This formalism also helps us to understand the edge states observed in Hall fluids. It is argued that Hall fluids with even denominator filling factor leads to the non-Abelian Berry phase.

Electron–Nuclear Spin Interaction in Edge States of Quantum Hall Systems

2003 ◽  
Vol 72 (Suppl.A) ◽  
pp. 44-48 ◽  
Author(s):  
Tomoki Machida ◽  
Tomoyuki Yamazaki ◽  
Susumu Ishizuka ◽  
Susumu Komiyama ◽  
Koji Muraki ◽  
...  
Keyword(s):  
Nuclear Spin ◽  
Quantum Hall ◽  
Spin Interaction ◽  
Edge States ◽  
Quantum Hall Systems
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