scholarly journals Breakdown of the integer and fractional quantum Hall states in a quantum point contact

2013 ◽  
Vol 47 ◽  
pp. 290-296 ◽  
Author(s):  
C. Dillard ◽  
X. Lin ◽  
M.A. Kastner ◽  
L.N. Pfeiffer ◽  
K.W. West
Keyword(s):  
Quantum Hall ◽  
Point Contact ◽  
Quantum Point Contact ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Quantum Point ◽  
Hall States

scholarly journals Interplay of fractional quantum Hall states and localization in quantum point contacts

2014 ◽  
Vol 89 (8) ◽  
Author(s):  
S. Baer ◽  
C. Rössler ◽  
E. C. de Wiljes ◽  
P.-L. Ardelt ◽  
T. Ihn ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Quantum Point Contacts ◽  
Point Contacts ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Quantum Point ◽  
Hall States

scholarly journals Fractional quantum Hall effect in a quantum point contact at filling fraction 5/2

2007 ◽  
Vol 3 (8) ◽  
pp. 561-565 ◽  
Author(s):  
Jeffrey B. Miller ◽  
Iuliana P. Radu ◽  
Dominik M. Zumbühl ◽  
Eli M. Levenson-Falk ◽  
Marc A. Kastner ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Point Contact ◽  
Fractional Quantum Hall Effect ◽  
Quantum Point Contact ◽  
Filling Fraction ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Point

scholarly journals Local incompressibility of fractional quantum Hall states at a filling factor of 3/2

2020 ◽  
Vol 2 (3) ◽  
Author(s):  
L. V. Kulik ◽  
V. A. Kuznetsov ◽  
A. S. Zhuravlev ◽  
V. Umansky ◽  
I. V. Kukushkin
Keyword(s):  
Filling Factor ◽  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Hall States

scholarly journals Competing ν = 5/2 fractional quantum Hall states in confined geometry

2016 ◽  
Vol 113 (44) ◽  
pp. 12386-12390 ◽  
Author(s):  
Hailong Fu ◽  
Pengjie Wang ◽  
Pujia Shan ◽  
Lin Xiong ◽  
Loren N. Pfeiffer ◽  
...  
Keyword(s):  
Quantum Computation ◽  
Filling Factor ◽  
Fault Tolerant ◽  
Quantum Hall ◽  
Point Contact ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Topological Quantum ◽  
Quantum Point ◽  
Topological Quantum Computation

Some theories predict that the filling factor 5/2 fractional quantum Hall state can exhibit non-Abelian statistics, which makes it a candidate for fault-tolerant topological quantum computation. Although the non-Abelian Pfaffian state and its particle-hole conjugate, the anti-Pfaffian state, are the most plausible wave functions for the 5/2 state, there are a number of alternatives with either Abelian or non-Abelian statistics. Recent experiments suggest that the tunneling exponents are more consistent with an Abelian state rather than a non-Abelian state. Here, we present edge-current–tunneling experiments in geometrically confined quantum point contacts, which indicate that Abelian and non-Abelian states compete at filling factor 5/2. Our results are consistent with a transition from an Abelian state to a non-Abelian state in a single quantum point contact when the confinement is tuned. Our observation suggests that there is an intrinsic non-Abelian 5/2 ground state but that the appropriate confinement is necessary to maintain it. This observation is important not only for understanding the physics of the 5/2 state but also for the design of future topological quantum computation devices.

scholarly journals Fractional Quantum Hall States at Zero Magnetic Field

2011 ◽  
Vol 106 (23) ◽  
Author(s):  
Titus Neupert ◽  
Luiz Santos ◽  
Claudio Chamon ◽  
Christopher Mudry
Keyword(s):  
Magnetic Field ◽  
Quantum Hall ◽  
Zero Magnetic Field ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Hall States
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