scholarly journals Tunneling Aharonov-Bohm interferometer on helical edge states

2018 ◽  
Vol 98 (4) ◽  
Author(s):  
R. A. Niyazov ◽  
D. N. Aristov ◽  
V. Yu. Kachorovskii
Keyword(s):  
Edge States ◽  
Aharonov Bohm

scholarly journals VERTEX OPERATORS FOR THE BF SYSTEM AND ITS SPIN–STATISTICS THEOREMS

1994 ◽  
Vol 09 (10) ◽  
pp. 1569-1629 ◽  
Author(s):  
A. P. BALACHANDRAN ◽  
P. TEOTONIO-SOBRINHO
Keyword(s):  
Simons Theory ◽  
Vertex Operators ◽  
Edge States ◽  
Flux Tubes ◽  
Vortex Loops ◽  
Spin Excitations ◽  
Large Length ◽  
A Charge ◽  
Aharonov Bohm ◽  
Chern Simons

Let B and [Formula: see text] be two-forms, Fµν being the field strength of an Abelian connection A. The topological BF system is given by the integral of B ∧ F. With "kinetic energy" terms added for B and A, it generates a mass for A, thereby suggesting an alternative to the Higgs mechanism, and also gives the London equations. The BF action, being the large length and time scale limit of this augmented action, is thus of physical interest. In earlier work, it has been studied on spatial manifolds Σ with boundaries ∂Σ, and the existence of edge states localized at ∂Σ has been established. They are analogous to the conformal family of edge states to be found in a Chern–Simons theory in a disc. Here we introduce charges and vortices (thin flux tubes) as sources in the BF system and show that they acquire an infinite number of spin excitations due to renormalization, just as a charge coupled to a Chern–Simons potential acquires a conformal family of spin excitations. For a vortex, these spins are transverse and attached to each of its points, so that it resembles a ribbon. Vertex operators for the creation of these sources are constructed and interpreted in terms of a Wilson integral involving A and a similar integral involving B. The standard spin–statistics theorem is proved for these sources. A new spin–statistics theorem, showing the equality of the "interchange" of two identical vortex loops and 2π rotation of the transverse spins of a constituent vortex, is established. Aharonov–Bohm interactions of charges and vortices are studied. The existence of topologically nontrivial vortex spins is pointed out and their vertex operators are also discussed.

scholarly journals Coherent spin transport through helical edge states of topological insulator

2020 ◽  
Vol 6 (1) ◽  
Author(s):  
R. A. Niyazov ◽  
D. N. Aristov ◽  
V. Yu. Kachorovskii
Keyword(s):  
Magnetic Field ◽  
High Temperature ◽  
Topological Insulator ◽  
Spin Transport ◽  
Magnetic Impurity ◽  
Quantum Calculations ◽  
Edge States ◽  
Level Spacing ◽  
Aharonov Bohm ◽  
Coherent Spin

AbstractWe study coherent spin transport through helical edge states of topological insulator tunnel-coupled to metallic leads. We demonstrate that unpolarized incoming electron beam acquires finite polarization after transmission through such a setup provided that edges contain at least one magnetic impurity. The finite polarization appears even in the fully classical regime and is therefore robust to dephasing. There is also a quantum magnetic field-tunable contribution to the polarization, which shows sharp identical Aharonov-Bohm resonances as a function of magnetic flux—with the period hc/2e—and survives at relatively high temperature. We demonstrate that this tunneling interferometer can be described in terms of ensemble of flux-tunable qubits giving equal contributions to conductance and spin polarization. The number of active qubits participating in the charge and spin transport is given by the ratio of the temperature and the level spacing. The interferometer can effectively operate at high temperature and can be used for quantum calculations. In particular, the ensemble of qubits can be described by a single Hadamard operator. The obtained results open wide avenue for applications in the area of quantum computing.

LAUGHLIN'S WAVE FUNCTION AND ANGULAR MOMENTUM

2011 ◽  
Vol 25 (10) ◽  
pp. 1301-1357 ◽  
Author(s):  
KESHAV N. SHRIVASTAVA
Keyword(s):  
Wave Function ◽  
Angular Momentum ◽  
First Principles ◽  
Condensed Matter ◽  
Quantum Hall ◽  
Edge States ◽  
Coulomb Interactions ◽  
Bohm Effect ◽  
A Charge ◽  
Aharonov Bohm

In 1983, Laughlin reported a wave function which while using the first-principles kinetic energy and Coulomb interactions fractionalizes the charge of the electron so that a charge such as 1/3 occurs. Since then this wave function has been applied to many problems in condensed matter physics. An effort is made to review the literature dealing with Aharonov–Bohm effect, ground state, confinement, phase transitions, Wigner and Luttinger solids, edge states, Anderson's theory, statistics and anyons, etc. The importance of the angular momentum is pointed out and it is shown that Landau levels play an important role in understanding the fractions at which the plateaus occur in the quantum Hall effect.

scholarly journals Absence of the Aharonov-Bohm effect of chiral Majorana fermion edge states

2014 ◽  
Vol 89 (16) ◽  
Author(s):  
Sunghun Park ◽  
Joel E. Moore ◽  
H.-S. Sim
Keyword(s):  
Majorana Fermion ◽  
Edge States ◽  
Bohm Effect ◽  
Aharonov Bohm

Charge oscillations in edge states and double-frequency Aharonov-Bohm effects around a tunable obstacle

1994 ◽  
Vol 305 (1-3) ◽  
pp. 453-459 ◽  
Author(s):  
P.J. Simpson ◽  
C.J.B. Ford ◽  
D.R. Mace ◽  
I. Zailer ◽  
M. Yosefin ◽  
...  
Keyword(s):  
Edge States ◽  
Double Frequency ◽  
Aharonov Bohm

scholarly journals Tunable zero modes and quantum interferences in flat-band topological insulators

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 591
Author(s):  
Juan Zurita ◽  
Charles Creffield ◽  
Gloria Platero
Keyword(s):  
Topological Insulators ◽  
Flat Band ◽  
Topological Phase ◽  
Edge States ◽  
One Dimensional ◽  
Zero Modes ◽  
Symmetry Classes ◽  
Boundary Correspondence ◽  
High Degree ◽  
Aharonov Bohm

We investigate the interplay between Aharonov-Bohm (AB) caging and topological protection in a family of quasi-one-dimensional topological insulators, which we term CSSH ladders. Hybrids of the Creutz ladder and the SSH chain, they present a regime with completely flat bands, and a rich topological phase diagram, with several kinds of protected zero modes. These are reminiscent of the Creutz ladder edge states in some cases, and of the SSH chain edge states in others. Furthermore, their high degree of tunability, and the fact that they remain topologically protected even in small systems in the rungless case, due to AB caging, make them suitable for quantum information purposes. One of the ladders can belong to the BDI, AIII and D symmetry classes depending on its parameters, the latter being unusual in a non-superconducting model. Two of the models can also harbor topological end modes which do not follow the usual bulk-boundary correspondence, and are instead related to a Chern number. Finally, we propose some experimental setups to implement the CSSH ladders with current technology, focusing on the photonic lattice case.

ARE AHARONOV–BOHM EFFECT AND QUANTIZED HALL REGIME COMPATIBLE?

2003 ◽  
Vol 02 (06) ◽  
pp. 535-541
Author(s):  
B. CHENAUD ◽  
C. CHAUBET ◽  
B. JOUAULT ◽  
L. SAMINADAYAR ◽  
D. MAILLY ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Quantum Point Contacts ◽  
Edge States ◽  
Point Contacts ◽  
Quantum Oscillations ◽  
Fabry Perot ◽  
Hall Regime ◽  
Quantum Point ◽  
Bohm Effect ◽  
Aharonov Bohm

We present calculations of the quantum oscillations appearing in the transmission of a mesoscopic GaAs / GaAlAs ring isolated by quantum point contacts. We show that the device acts as an electronic Fabry–Perot spectrometer in the quantum Hall effect regime, and discuss the effect of the coherence length of edge states.

Aharonov–Bohm Interferometry Based on Helical Edge States (Mini-review)

JETP Letters ◽  
2021 ◽  
Author(s):  
R. A. Niyazov ◽  
D. N. Aristov ◽  
V. Yu. Kachorovskii
Keyword(s):  
Edge States ◽  
Aharonov Bohm
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