scholarly journals Resonant tunneling through a quantum dot weakly coupled to quantum wires or quantum Hall edge states

1998 ◽  
Vol 57 (12) ◽  
pp. 7141-7148 ◽  
Author(s):  
A. Furusaki
Keyword(s):  
Quantum Dot ◽  
Resonant Tunneling ◽  
Quantum Wires ◽  
Quantum Hall ◽  
Edge States ◽  
Weakly Coupled

Electrically tunable spin filtering for electron tunneling between spin-resolved quantum Hall edge states and a quantum dot

2014 ◽  
Vol 104 (26) ◽  
pp. 263101 ◽  
Author(s):  
H. Kiyama ◽  
T. Fujita ◽  
S. Teraoka ◽  
A. Oiwa ◽  
S. Tarucha
Keyword(s):  
Quantum Dot ◽  
Electron Tunneling ◽  
Quantum Hall ◽  
Edge States ◽  
Spin Filtering

scholarly journals Quantum dot dephasing by fractional quantum Hall edge states

2006 ◽  
Vol 74 (15) ◽  
Author(s):  
T. K. T. Nguyen ◽  
A. Crépieux ◽  
T. Jonckheere ◽  
A. V. Nguyen ◽  
Y. Levinson ◽  
...  
Keyword(s):  
Quantum Dot ◽  
Quantum Hall ◽  
Edge States ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

scholarly journals Resonant tunneling between quantum Hall edge states

1993 ◽  
Vol 71 (26) ◽  
pp. 4381-4384 ◽  
Author(s):  
K. Moon ◽  
H. Yi ◽  
C. L. Kane ◽  
S. M. Girvin ◽  
Matthew P. A. Fisher
Keyword(s):  
Resonant Tunneling ◽  
Quantum Hall ◽  
Edge States

EDGE STATES AND TRAJECTORIES IN QUANTUM DOTS: PROBING THE QUANTUM-CLASSICAL TRANSITION

2007 ◽  
Vol 21 (08n09) ◽  
pp. 1278-1287
Author(s):  
D. K. FERRY ◽  
R. AKIS ◽  
J. P. BIRD
Keyword(s):  
Quantum Dot ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Oscillatory Behavior ◽  
Wave Functions ◽  
Edge States ◽  
Open Quantum ◽  
Pointer States ◽  
Classical Transition

Edge states have been a backbone of our understanding of the experimental basis of the quantum Hall effect for quite some time. Interestingly, this comprises a quantum system with well defined currents and particle trajectories. The role of trajectories in quantum mechanics has been a problematic question of interpretation for quite some time, and the open quantum dot is a natural system in which to probe this question. Contrary to early speculation, a set of well defined quantum states survives in the open quantum dot. These states are the pointer states and provide a transition into the classical states that can be found in these structures. These states provide resonances, which are observable as oscillatory behavior in the magnetoconductance of the dots. But, they have well defined current directions within the dots. Consequently, one expects trajectories to be a property of these states as well. As one crosses from the low to the high field regime, quite steady trajectories and consequent wave functions can easily be identified and examined. In this talk, we review the current understanding and the support for the decoherence theory.

scholarly journals Topological gaps by twisting

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Matheus I. N. Rosa ◽  
Massimo Ruzzene ◽  
Emil Prodan
Keyword(s):  
Magnetic Field ◽  
Quantum Hall Effect ◽  
Twist Angle ◽  
Quantum Hall ◽  
Topological Phases ◽  
Edge States ◽  
Layered Systems ◽  
Virtual Laboratories ◽  
Higher Dimensional ◽  
Chern Numbers

AbstractTwisted bilayered systems such as bilayered graphene exhibit remarkable properties such as superconductivity at magic angles and topological insulating phases. For generic twist angles, the bilayers are truly quasiperiodic, a fact that is often overlooked and that has consequences which are largely unexplored. Herein, we uncover that twisted n-layers host intrinsic higher dimensional topological phases, and that those characterized by second Chern numbers can be found in twisted bi-layers. We employ phononic lattices with interactions modulated by a second twisted lattice and reveal Hofstadter-like spectral butterflies in terms of the twist angle, which acts as a pseudo magnetic field. The phason provided by the sliding of the layers lives on 2n-tori and can be used to access and manipulate the edge states. Our work demonstrates how multi-layered systems are virtual laboratories for studying the physics of higher dimensional quantum Hall effect, and can be employed to engineer topological pumps via simple twisting and sliding.

scholarly journals Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Dmitry Melnikov ◽  
Horatiu Nastase
Keyword(s):  
Quantum Hall Effect ◽  
Effective Action ◽  
Transport Coefficients ◽  
Quantum Hall ◽  
Dual Theory ◽  
One Dimensional ◽  
Integer Quantum Hall Effect ◽  
Weakly Coupled ◽  
Holographic Duals ◽  
Integer Quantum

Abstract In this paper we study the Wiedemann-Franz laws for transport in 2+1 dimensions, and the action of Sl(2, ℤ) on this transport, for theories with an AdS/CMT dual. We find that Sl(2, ℤ) restricts the RG-like flow of conductivities and that the Wiedemann-Franz law is $$ \overline{L}=\overline{\kappa}/\left( T\sigma \right)={cg}_4^2\uppi /3 $$ L ¯ = κ ¯ / Tσ = cg 4 2 π / 3 , from the weakly coupled gravity dual. In a self-dual theory this value is also the value of L = κ/(Tσ) in the weakly coupled field theory description. Using the formalism of a 0+1 dimensional effective action for both generalized SY Kq models and the AdS4 gravity dual, we calculate the transport coefficients and show how they can be matched at large q. We construct a generalization of this effective action that is invariant under Sl(2, ℤ) and can describe vortex conduction and integer quantum Hall effect.

scholarly journals Edge channels of broken-symmetry quantum Hall states in graphene visualized by atomic force microscopy

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Sungmin Kim ◽  
Johannes Schwenk ◽  
Daniel Walkup ◽  
Yihang Zeng ◽  
Fereshte Ghahari ◽  
...  
Keyword(s):  
Atomic Force Microscopy ◽  
Chemical Potential ◽  
Quantum Hall ◽  
Broken Symmetry ◽  
Topological Order ◽  
Edge States ◽  
Force Microscopy ◽  
Atomic Force ◽  
Intimate Relation ◽  
Boundary Measurements

AbstractThe quantum Hall (QH) effect, a topologically non-trivial quantum phase, expanded the concept of topological order in physics bringing into focus the intimate relation between the “bulk” topology and the edge states. The QH effect in graphene is distinguished by its four-fold degenerate zero energy Landau level (zLL), where the symmetry is broken by electron interactions on top of lattice-scale potentials. However, the broken-symmetry edge states have eluded spatial measurements. In this article, we spatially map the quantum Hall broken-symmetry edge states comprising the graphene zLL at integer filling factors of $${{\nu }}={{0}},\pm {{1}}$$ ν = 0 , ± 1 across the quantum Hall edge boundary using high-resolution atomic force microscopy (AFM) and show a gapped ground state proceeding from the bulk through to the QH edge boundary. Measurements of the chemical potential resolve the energies of the four-fold degenerate zLL as a function of magnetic field and show the interplay of the moiré superlattice potential of the graphene/boron nitride system and spin/valley symmetry-breaking effects in large magnetic fields.

scholarly journals Equilibration and filtering of quantum Hall edge states in few-layer black phosphorus

2020 ◽  
Vol 4 (11) ◽  
Author(s):  
Jiawei Yang ◽  
Kangyu Wang ◽  
Shi Che ◽  
Zachary J. Tuchfeld ◽  
Kenji Watanabe ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Black Phosphorus ◽  
Edge States
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