scholarly journals Valley pumping via edge states and the nonlocal valley Hall effect in two-dimensional semiconductors

2020 ◽  
Vol 102 (15) ◽  
Author(s):  
Akihiko Sekine ◽  
Allan H. MacDonald
Keyword(s):  
Hall Effect ◽  
Two Dimensional ◽  
Edge States ◽  
Valley Hall Effect

scholarly journals Edge states and the valley Hall effect

2020 ◽  
Vol 368 ◽  
pp. 107142 ◽  
Author(s):  
A. Drouot ◽  
M.I. Weinstein
Keyword(s):  
Hall Effect ◽  
Edge States ◽  
Valley Hall Effect

scholarly journals Quantum spin-valley Hall effect in AB-stacked bilayer silicene

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Kyu Won Lee ◽  
Cheol Eui Lee
Keyword(s):  
Hall Effect ◽  
Density Functional ◽  
Tight Binding ◽  
Quantum Spin ◽  
Chern Number ◽  
Antiferromagnetic Order ◽  
Gradual Change ◽  
Edge States ◽  
Binding Model ◽  
Valley Hall Effect

AbstractOur density functional theory calculations show that while AB-stacked bilayer silicene has a non-quantized spin-valley Chern number, there exist backscattering-free gapless edge states within the bulk gap, leading to a quantum spin-valley Hall effect. Using a tight-binding model for a honeycomb bilayer, we found that the interlayer potential difference and the staggered AB-sublattice potential lead to abrupt and gradual change of the valley Chern number from a quantized value to zero, respectively, while maintaining backscattering-free gapless edge states if the valley Chern number is not too close to zero. Under an inversion symmetry-breaking potential in the form of the staggered AB-sublattice potential, such as an antiferromagnetic order and a hexagonal diatomic sheet, a finite but non-quantized (spin-)valley Chern number can correspond to a quantum (spin-)valley Hall insulator.

Ferromagnetic dual topological insulator in a two-dimensional honeycomb lattice

2020 ◽  
Vol 7 (9) ◽  
pp. 2431-2438
Author(s):  
Hao Wang ◽  
Ning Mao ◽  
Chengwang Niu ◽  
Shiying Shen ◽  
Myung-Hwan Whangbo ◽  
...  
Keyword(s):  
Hall Effect ◽  
Topological Insulator ◽  
Topological Insulators ◽  
Anomalous Hall Effect ◽  
Topological Invariant ◽  
Honeycomb Lattice ◽  
Two Dimensional ◽  
Edge States ◽  
Quantum Anomalous Hall Effect ◽  
Significant Attention

Magnetic topological insulators (TIs), including the quantum anomalous Hall effect and antiferromagnetic TIs, have attracted significant attention owing to the exotic properties they give rise to, however, ferromagnetic TIs with gapless surface/edge states and a nonzero topological invariant have not been reported so far.

scholarly journals Enabling novel dispersion and topological characteristics in mechanical lattices via stable negative inertial coupling

2021 ◽  
Vol 477 (2252) ◽  
pp. 20200820
Author(s):  
H. Al Ba’ba’a ◽  
X. Zhu ◽  
Q. Wang
Keyword(s):  
Hall Effect ◽  
Topological Insulators ◽  
Periodic Structures ◽  
Edge States ◽  
New Developments ◽  
Inertial Coupling ◽  
Mechanical Analogue ◽  
Topological Characteristics ◽  
Elastically Supported ◽  
Valley Hall Effect

Mechanical topological insulators have enabled a myriad of unprecedented characteristics that are otherwise not conceivable in traditional periodic structures. While rich in dynamics, new developments in the domain of mechanical topological systems are hindered by their inherent inability to exhibit negative elastic or inertial couplings owing to the inevitable loss of dynamical stability. The aim of this paper is, therefore, to remedy this challenge by introducing a class of architected inertial metamaterials (AIMs) as a platform for designing mechanical lattices with novel topological and dispersion traits. We show that carefully coupling elastically supported masses via moment-free rigid linkages invokes a dynamically stable negative inertial coupling, which is essential for topological classes in need of such negative interconnection. The potential of the proposed AIMs is demonstrated via three examples: (i) a mechanical analogue of Majorana edge states, (ii) a square diatomic AIM that can sustain the quantum valley Hall effect (classically arising in hexagonal lattices), and (iii) a square tetratomic AIM with topological corner modes. We envision that the presented framework will pave the way for a plethora of robust topological mechanical systems.

Valley Hall Effect in Two-Dimensional Hexagonal Lattices

2015 ◽  
Vol 84 (12) ◽  
pp. 121006 ◽  
Author(s):  
Michihisa Yamamoto ◽  
Yuya Shimazaki ◽  
Ivan V. Borzenets ◽  
Seigo Tarucha
Keyword(s):  
Hall Effect ◽  
Two Dimensional ◽  
Valley Hall Effect

Resonant Photoluminescence of a Two-Dimensional Electron System upon the Formation of a Bulk 1/3 State of the Fractional Hall Effect

JETP Letters ◽  
2020 ◽  
Vol 112 (8) ◽  
pp. 485-490
Author(s):  
L. V. Kulik ◽  
A. S. Zhuravlev ◽  
E. I. Belozerov ◽  
V. A. Kuznetsov ◽  
I. V. Kukushkin
Keyword(s):  
Hall Effect ◽  
Electron System ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Dimensional Electron System
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