scholarly journals Thermopower and Mott formula for a Majorana edge state

2013 ◽  
Vol 88 (7) ◽  
Author(s):  
Chang-Yu Hou ◽  
Kirill Shtengel ◽  
Gil Refael
Keyword(s):  
Edge State ◽  
Mott Formula

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.

Fear at the Edge: State Terror and Resistance in Latin America

1993 ◽  
Vol 72 (2) ◽  
pp. 176
Author(s):  
Abraham Lowenthal ◽  
Juan E. Corradi ◽  
Patricia Weiss Fagen ◽  
Manuel Antonio Garreton
Keyword(s):  
Latin America ◽  
Edge State ◽  
State Terror

scholarly journals Low-Energy Optical Conductivity of TaP: Comparison of Theory and Experiment

Crystals ◽  
2021 ◽  
Vol 11 (5) ◽  
pp. 567
Author(s):  
Alexander Yaresko ◽  
Artem V. Pronin
Keyword(s):  
Experimental Data ◽  
Optical Conductivity ◽  
Low Energy ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Natural Explanation ◽  
Weyl Semimetal ◽  
Unintentional Doping ◽  
Mott Formula ◽  
Theory And Experiment

The ab-plane optical conductivity of the Weyl semimetal TaP is calculated from the band structure and compared to the experimental data. The overall agreement between theory and experiment is found to be best when the Fermi level is slightly (20 to 60 meV) shifted upwards in the calculations. This confirms a small unintentional doping of TaP, reported earlier, and allows a natural explanation of the strong low-energy (50 meV) peak seen in the experimental ab-plane optical conductivity: this peak originates from transitions between the almost parallel non-degenerate electronic bands split by spin-orbit coupling. The temperature evolution of the peak can be reasonably well reproduce by calculations using an analog of the Mott formula.

Edge state in graphene ribbons: Nanometer size effect and edge shape dependence

1996 ◽  
Vol 54 (24) ◽  
pp. 17954-17961 ◽  
Author(s):  
Kyoko Nakada ◽  
Mitsutaka Fujita ◽  
Gene Dresselhaus ◽  
Mildred S. Dresselhaus
Keyword(s):  
Size Effect ◽  
Edge State ◽  
Nanometer Size ◽  
Shape Dependence

Evidence for Edge-State Photoluminescence in Graphene Quantum Dots

2013 ◽  
Vol 23 (40) ◽  
pp. 5062-5065 ◽  
Author(s):  
Kiran Lingam ◽  
Ramakrishna Podila ◽  
Haijun Qian ◽  
Steven Serkiz ◽  
Apparao M. Rao
Keyword(s):  
Quantum Dots ◽  
Graphene Quantum Dots ◽  
Edge State

scholarly journals Fully localized post-buckling states of cylindrical shells under axial compression

2017 ◽  
Vol 473 (2205) ◽  
pp. 20170177 ◽  
Author(s):  
Tobias Kreilos ◽  
Tobias M. Schneider
Keyword(s):  
Axial Compression ◽  
Stability Boundary ◽  
Axial Direction ◽  
Edge State ◽  
Equilibrium Solutions ◽  
Thin Cylindrical Shell ◽  
Nonlinear Force ◽  
Post Buckling ◽  
The Stability ◽  
Nonlinear Solutions

We compute nonlinear force equilibrium solutions for a clamped thin cylindrical shell under axial compression. The equilibrium solutions are dynamically unstable and located on the stability boundary of the unbuckled state. A fully localized single dimple deformation is identified as the edge state —the attractor for the dynamics restricted to the stability boundary. Under variation of the axial load, the single dimple undergoes homoclinic snaking in the azimuthal direction, creating states with multiple dimples arranged around the central circumference. Once the circumference is completely filled with a ring of dimples, snaking in the axial direction leads to further growth of the dimple pattern. These fully nonlinear solutions embedded in the stability boundary of the unbuckled state constitute critical shape deformations. The solutions may thus be a step towards explaining when the buckling and subsequent collapse of an axially loaded cylinder shell is triggered.

scholarly journals Entanglement and interaction in a topological quantum walk

2018 ◽  
Vol 5 (2) ◽  
Author(s):  
Alberto Verga ◽  
Ricardo Gabriel Elias
Keyword(s):  
Quantum Walk ◽  
Edge State ◽  
Interacting Particles ◽  
Topological Quantum

We study the quantum walk of two interacting particles on a line with an interface separating two topologically distinct regions. The interaction induces a localization-delocalization transition of the edge state at the interface. We characterize the transition through the entanglement between the two particles.

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