scholarly journals Unconventional features in the quantum Hall regime of disordered graphene: Percolating impurity states and Hall conductance quantization

2016 ◽  
Vol 93 (11) ◽  
Author(s):  
Nicolas Leconte ◽  
Frank Ortmann ◽  
Alessandro Cresti ◽  
Stephan Roche
Keyword(s):  
Quantum Hall ◽  
Hall Conductance ◽  
Impurity States ◽  
Conductance Quantization ◽  
Quantum Hall Regime ◽  
Hall Regime

scholarly journals Conductance quantization suppression in the quantum Hall regime

2018 ◽  
Vol 9 (1) ◽  
Author(s):  
José M. Caridad ◽  
Stephen R. Power ◽  
Mikkel R. Lotz ◽  
Artsem A. Shylau ◽  
Joachim D. Thomsen ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Conductance Quantization ◽  
Quantum Hall Regime ◽  
Hall Regime

Current distribution and conductance quantization in the integer quantum Hall regime

2003 ◽  
Vol 15 (24) ◽  
pp. L377-L383 ◽  
Author(s):  
Alessandro Cresti ◽  
Riccardo Farchioni ◽  
Giuseppe Grosso ◽  
Giuseppe Pastori Parravicini
Keyword(s):  
Current Distribution ◽  
Quantum Hall ◽  
Conductance Quantization ◽  
Quantum Hall Regime ◽  
Hall Regime ◽  
Integer Quantum

scholarly journals FIELD THEORY OF ANISOTROPIC QUANTUM HALL GAS: METROLOGY AND A NOVEL QUANTUM HALL REGIME

2003 ◽  
Vol 17 (27) ◽  
pp. 4765-4818 ◽  
Author(s):  
K. ISHIKAWA ◽  
T. AOYAMA ◽  
Y. ISHIZUKA ◽  
N. MAEDA
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Hall Conductance ◽  
Von Neumann ◽  
Integer Quantum Hall Effect ◽  
Quantum Hall Regime ◽  
Realistic Situation ◽  
Hall Regime ◽  
Integer Quantum

The von Neumann lattice representation is a convenient representation for studying several intriguing physics of quantum Hall systems. In this formalism, electrons are mapped to lattice fermions. A topological invariant expression of the Hall conductance is derived and is used for the proof of the integer quantum Hall effect in the realistic situation. Anisotropic quantum Hall gas is investigated based on the Hartree–Fock approximation in the same formalism. Thermodynamic properties, transport properties, and unusual response under external modulations are found. Implications for the integer quantum Hall effect in the finite systems are also studied and a new quantum Hall regime with non-zero longitudinal resistance is shown to exist.

scholarly journals Nonlinear optics in the fractional quantum Hall regime

Nature ◽  
2019 ◽  
Vol 572 (7767) ◽  
pp. 91-94 ◽  
Author(s):  
Patrick Knüppel ◽  
Sylvain Ravets ◽  
Martin Kroner ◽  
Stefan Fält ◽  
Werner Wegscheider ◽  
...  
Keyword(s):  
Nonlinear Optics ◽  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime

Current distribution in antidot arrays close to the quantum Hall regime

1999 ◽  
Vol 60 (4) ◽  
pp. 2561-2570 ◽  
Author(s):  
Rolf R. Gerhardts ◽  
Johannes Groß
Keyword(s):  
Current Distribution ◽  
Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime ◽  
Antidot Arrays

MACH-ZEHNDER INTERFEROMETER IN THE INTEGER QUANTUM HALL REGIME: A QUANTUM DISSIPATIVE MODEL

2009 ◽  
Vol 23 (12n13) ◽  
pp. 2927-2932
Author(s):  
E. A. ASANO
Keyword(s):  
Quantum Hall ◽  
Zehnder Interferometer ◽  
The Novel ◽  
Quantum Dissipation ◽  
Quantum Hall Regime ◽  
Hall Regime ◽  
Frequency Independent ◽  
Integer Quantum ◽  
Dissipative Model ◽  
Mach Zehnder Interferometer

We study properties of the simplest type of electron interferometer, the Mach-Zehnder Interferometer (MZI) in the Integer Quantum Hall (IQH) regime. In this work, in order to analyse the novel experimental results reported by I. Neder et al. [Phys. Rev. Lett.96, 016804 (2006)] which makes questionable the validity of Landauer-Buttiker formalism in the IQH regime, we have derived expressions for tunneling currents through the electronic MZI system whithin the model of quantum dissipation induced by an environment. In this model the MZI system is coupled to a dissipative environment, where the dissipation is introduced by coupling the MZI system to a frequency-independent Ohmic impedance Z(ω) = R.

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