scholarly journals Charge fractionalization on quantum Hall edges

2011 ◽  
Vol 84 (11) ◽  
Author(s):  
Mats Horsdal ◽  
Marianne Rypestøl ◽  
Hans Hansson ◽  
Jon Magne Leinaas
Keyword(s):  
Quantum Hall ◽  
Charge Fractionalization

Publisher’s Note: Charge Fractionalization in the Integer Quantum Hall Effect [Phys. Rev. Lett. 112, 166801 (2014)]

2014 ◽  
Vol 112 (18) ◽  
Author(s):  
Hiroyuki Inoue ◽  
Anna Grivnin ◽  
Nissim Ofek ◽  
Izhar Neder ◽  
Moty Heiblum ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Integer Quantum Hall Effect ◽  
Integer Quantum ◽  
Charge Fractionalization

scholarly journals Transient Features in Charge Fractionalization, Local Equilibration and Non-equilibrium Bosonization

2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Alexander Schneider ◽  
Mirco Milletari ◽  
Bernd Rosenow
Keyword(s):  
Quantum Hall ◽  
Edge States ◽  
Functional Determinant ◽  
One Dimensional ◽  
Interacting Systems ◽  
Charge Fractionalization ◽  
Scattering Phase ◽  
Experimental Findings ◽  
Theoretical Results ◽  
Non Equilibrium

In quantum Hall edge states and in other one-dimensional interacting systems, charge fractionalization can occur due to the fact that an injected charge pulse decomposes into eigenmodes propagating at different velocities. If the original charge pulse has some spatial width due to injection with a given source-drain voltage, a finite time is needed until the separation between the fractionalized pulses is larger than their width. In the formalism of non-equilibrium bosonization, the above physics is reflected in the separation of initially overlapping square pulses in the effective scattering phase. When expressing the single particle Green's function as a functional determinant of counting operators containing the scattering phase, the time evolution of charge fractionalization is mathematically described by functional determinants with overlapping pulses. We develop a framework for the evaluation of such determinants, describe the system's equilibration dynamics, and compare our theoretical results with recent experimental findings.

Charge Fractionalization in the Integer Quantum Hall Effect

2014 ◽  
Vol 112 (16) ◽  
Author(s):  
Hiroyuki Inoue ◽  
Anna Grivnin ◽  
Nissim Ofek ◽  
Izhar Neder ◽  
Moty Heiblum ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Integer Quantum Hall Effect ◽  
Integer Quantum ◽  
Charge Fractionalization

scholarly journals Quantized charge fractionalization at quantum Hall Y junctions in the disorder dominated regime

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Chaojing Lin ◽  
Masayuki Hashisaka ◽  
Takafumi Akiho ◽  
Koji Muraki ◽  
Toshimasa Fujisawa
Keyword(s):  
Time Course ◽  
Filling Factor ◽  
Collective Excitation ◽  
Quantum Hall ◽  
Elementary Excitation ◽  
Time Resolved ◽  
One Dimensional ◽  
Quantum Hall States ◽  
Conjugate State ◽  
Charge Fractionalization

AbstractFractionalization is a phenomenon where an elementary excitation partitions into several pieces. This picture explains non-trivial transport through a junction of one-dimensional edge channels defined by topologically distinct quantum Hall states, for example, a hole-conjugate state at Landau-level filling factor ν = 2/3. Here we employ a time-resolved scheme to identify an elementary fractionalization process; injection of charge q from a non-interaction region into an interacting and scattering region of one-dimensional channels results in the formation of a collective excitation with charge (1−r)q by reflecting fractionalized charge rq. The fractionalization factors, r = 0.34 ± 0.03 for ν = 2/3 and r = 0.49 ± 0.03 for ν = 2, are consistent with the quantized values of 1/3 and 1/2, respectively, which are expected in the disorder dominated regime. The scheme can be used for generating and transporting fractionalized charges with a well-defined time course along a well-defined path.

Phenomena and devices at the quantum scale and the mesoscale

2017 ◽  
Author(s):  
Sandip Tiwari
Keyword(s):  
Coulomb Blockade ◽  
Secure Communication ◽  
Quantum Hall ◽  
Nanoscale Device ◽  
Self Energy ◽  
Stability Diagrams ◽  
Charge Stability ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Non Locality

Unique nanoscale phenomena arise in quantum and mesoscale properties and there are additional intriguing twists from effects that are classical in origin. In this chapter, these are brought forth through an exploration of quantum computation with the important notions of superposition, entanglement, non-locality, cryptography and secure communication. The quantum mesoscale and implications of nonlocality of potential are discussed through Aharonov-Bohm effect, the quantum Hall effect in its various forms including spin, and these are unified through a topological discussion. Single electron effect as a classical phenomenon with Coulomb blockade including in multiple dot systems where charge stability diagrams may be drawn as phase diagram is discussed, and is also extended to explore the even-odd and Kondo consequences for quantum-dot transport. This brings up the self-energy discussion important to nanoscale device understanding.

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