Macroscopic angular momentum of the crystal states in two-dimensional quantum Hall systems

1992 ◽  
Vol 45 (16) ◽  
pp. 9481-9484
Author(s):  
Tin-Lun Ho ◽  
Jonghyun Kahng
Keyword(s):  
Angular Momentum ◽  
Quantum Hall ◽  
Two Dimensional ◽  
Quantum Hall Systems

scholarly journals Hamiltonian Formulation of Quantum Hall Skyrmions with Hopf Term

1997 ◽  
Vol 12 (09) ◽  
pp. 619-630 ◽  
Author(s):  
B. Chakraborty ◽  
T. R. Govindarajan
Keyword(s):  
Angular Momentum ◽  
Sigma Model ◽  
Quantum Hall ◽  
Hamiltonian Formulation ◽  
Nonlinear Sigma Model ◽  
Quantum Hall Systems ◽  
Hamiltonian Analysis

We study the nonrelativistic nonlinear sigma model with Hopf term in this letter. This is an important issue because of its relation to the currently interesting studies in skyrmions in quantum Hall systems. We perform the Hamiltonian analysis of this system in CP1 variables. When the coefficient of the Hopf term becomes zero we get the Landau–Lifshitz description of the ferromagnets. The addition of Hopf term dramatically alters the Hamiltonian analysis. The spin algebra is modified giving a new structure and interpretation to the system. We point out momentum and angular momentum generators and new features they bring into the system.

Two-dimensional polaron mass in ZnO quantum Hall systems

2010 ◽  
Vol 7 (6) ◽  
pp. 1599-1601 ◽  
Author(s):  
Y. Imanaka ◽  
T. Takamasu ◽  
H. Tampo ◽  
H. Shibata ◽  
S. Niki
Keyword(s):  
Quantum Hall ◽  
Two Dimensional ◽  
Quantum Hall Systems

Superfluidity of the Lattice Anyon Gas

1989 ◽  
Vol 03 (12) ◽  
pp. 1965-1995 ◽  
Author(s):  
Eduardo Fradkin
Keyword(s):  
Quantum Hall ◽  
Goldstone Mode ◽  
Two Dimensional ◽  
Hall Conductance ◽  
Dimensional Lattice ◽  
Quantum Hall Systems ◽  
Wigner Transformation ◽  
Topological Invariance ◽  
Quantum Hall System ◽  
Chern Simons

I consider a gas of “free” anyons with statistical paremeter δ on a two dimensional lattice. Using a recently derived Jordan-Wigner transformation, I map this problem onto a gas of fermions on a lattice coupled to a Chern-Simons gauge theory with coupling [Formula: see text]. I show that if [Formula: see text] and the density [Formula: see text], with r and q integers, the system is a superfluid. If q is even and the system is half filled the state may be either a superfluid or a Quantum Hall System depending on the dynamics. Similar conclusions apply for other values of ρ and δ. The dynamical stability of the Fetter-Hanna-Laughlin goldstone mode is insured by the topological invariance of the quantized Hall conductance of the fermion problem. This leads to the conclusion that anyon gases are generally superfluids or quantum Hall systems.

scholarly journals Crossed Andreev effects in two-dimensional quantum Hall systems

2016 ◽  
Vol 94 (6) ◽  
Author(s):  
Zhe Hou ◽  
Yanxia Xing ◽  
Ai-Min Guo ◽  
Qing-Feng Sun
Keyword(s):  
Quantum Hall ◽  
Two Dimensional ◽  
Quantum Hall Systems

scholarly journals Active topolectrical circuits

2021 ◽  
Vol 118 (32) ◽  
pp. e2106411118
Author(s):  
Tejas Kotwal ◽  
Fischer Moseley ◽  
Alexander Stegmaier ◽  
Stefan Imhof ◽  
Hauke Brand ◽  
...  
Keyword(s):  
Close Agreement ◽  
Quantum Hall ◽  
High Dimensional ◽  
Electric Signal ◽  
Electronic Systems ◽  
Two Dimensional ◽  
Electrical Circuits ◽  
Quantum Hall Systems ◽  
Self Organized ◽  
Global Signal

The transfer of topological concepts from the quantum world to classical mechanical and electronic systems has opened fundamentally different approaches to protected information transmission and wave guidance. A particularly promising emergent technology is based on recently discovered topolectrical circuits that achieve robust electric signal transduction by mimicking edge currents in quantum Hall systems. In parallel, modern active matter research has shown how autonomous units driven by internal energy reservoirs can spontaneously self-organize into collective coherent dynamics. Here, we unify key ideas from these two previously disparate fields to develop design principles for active topolectrical circuits (ATCs) that can self-excite topologically protected global signal patterns. Realizing autonomous active units through nonlinear Chua diode circuits, we theoretically predict and experimentally confirm the emergence of self-organized protected edge oscillations in one- and two-dimensional ATCs. The close agreement between theory, simulations, and experiments implies that nonlinear ATCs provide a robust and versatile platform for developing high-dimensional autonomous electrical circuits with topologically protected functionalities.

Magnetization of multi-component two-dimensional quantum-Hall systems

2004 ◽  
Vol 22 (1-3) ◽  
pp. 86-89 ◽  
Author(s):  
M.R. Schaapman ◽  
U. Zeitler ◽  
P.C.M. Christianen ◽  
J.C. Maan ◽  
D. Reuter ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Two Dimensional ◽  
Quantum Hall Systems

QUASIPARTICLE INTERACTIONS IN FRACTIONAL QUANTUM HALL SYSTEMS

2004 ◽  
Vol 18 (27n29) ◽  
pp. 3545-3548
Author(s):  
A. WOJS ◽  
K.-S. YI ◽  
J. J. QUINN
Keyword(s):  
Angular Momentum ◽  
Interaction Energy ◽  
Landau Level ◽  
Quantum Hall ◽  
Fractional Quantum ◽  
Small Systems ◽  
Fractional Quantum Hall ◽  
Quantum Hall Systems ◽  
Numerical Studies

A partially filled shell (Landau level) of Laughlin quasiparticles (QP's) gives rise to an incompressible daughter state if the QP's themselves are Laughlin correlated. This occurs only if the pseudopotential V QP (L′) describing the interaction energy of a QP pair as a function of the total pair angular momentum L′ satisfies special conditions. V QP (L′) can be obtained quite accurately from numerical studies of small systems. It does not always satisfy these conditions (e.g. for quasielectrons of the Laughlin ν=1/3 state at their ν QE =1/3 filling). In such cases, formation of pairs or larger clusters may explain the recently observed incompressible states (like ν=4/11).

scholarly journals Controllable quantum point junction on the surface of an antiferromagnetic topological insulator

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Nicodemos Varnava ◽  
Justin H. Wilson ◽  
J. H. Pixley ◽  
David Vanderbilt
Keyword(s):  
Topological Insulator ◽  
Information Science ◽  
Domain Walls ◽  
Quantum Hall ◽  
Edge State ◽  
Wave Functions ◽  
Quantum Hall Systems ◽  
Electron Quantum ◽  
Quantum Point ◽  
Higher Temperature

AbstractEngineering and manipulation of unidirectional channels has been achieved in quantum Hall systems, leading to the construction of electron interferometers and proposals for low-power electronics and quantum information science applications. However, to fully control the mixing and interference of edge-state wave functions, one needs stable and tunable junctions. Encouraged by recent material candidates, here we propose to achieve this using an antiferromagnetic topological insulator that supports two distinct types of gapless unidirectional channels, one from antiferromagnetic domain walls and the other from single-height steps. Their distinct geometric nature allows them to intersect robustly to form quantum point junctions, which then enables their control by magnetic and electrostatic local probes. We show how the existence of stable and tunable junctions, the intrinsic magnetism and the potential for higher-temperature performance make antiferromagnetic topological insulators a promising platform for electron quantum optics and microelectronic applications.

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