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We propose a geometric phase-resolved tunneling valley Hall effect based on the coherent transmission through two combined electric barriers in $\alpha-\mathcal{T}_3$ lattices. It is shown that the backreflected electrons at the barrier…

Mesoscale and Nanoscale Physics · Physics 2024-11-07 W. Zeng

Chiral edge states can transmit energy along imperfect interfaces in a topologically robust and unidirectional manner when protected by bulk-boundary correspondence. However, in continuum systems, the number of states at an interface can…

Soft Condensed Matter · Physics 2021-07-14 Guido Baardink , Gino Cassella , Luke Neville , Paul A. Milewski , Anton Souslov

Domain wall fermions provide a complimentary alternative to traditional lattice fermion approaches. By introducing an extra dimension, the amount of chiral symmetry present in the lattice theory can be controlled in a linear way. This…

High Energy Physics - Lattice · Physics 2009-10-31 Pavlos Vranas

The quantum anomalous Hall effect is a intriguing quantum state which exhibits the chiral edge states in the absence of magnetic field. While the search for quantum anomalous Hall insulators is still active, the researchers mainly search…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Ping Li , Tian-Yi Cai

Three-dimensional topological insulators have protected Dirac-cone surface states. In this paper we propose magnetic field induced topological insulator thin film ordered states in which coherence is established spontaneously between top…

Strongly Correlated Electrons · Physics 2013-05-29 Dagim Tilahun , Byounghak Lee , E. M. Hankiewicz , A. H. MacDonald

We consider theoretically staggered honeycomb lattices for photons which can be viewed as photonic analogs of transitional metal dichalcogenides (TMD) monolayers. We propose a simple realization of a photonic Quantum Valley Hall effect…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 O. Bleu , D. D. Solnyshkov , G. Malpuech

Valley, as a ubiquitous degree of freedom in lattices, has found wide applications in both electronic and classical-wave devices in recent years. However, achieving valley-polarized states, a prerequisite for valley-based operations, still…

Mesoscale and Nanoscale Physics · Physics 2025-10-23 Sijie Yue , Wentao Xie , Kai Shao , Hong-yu Zou , Bingbing Wang , Hong-xiang Sun , Y. X. Zhao , Wei Chen , Haoran Xue

Valley, as a new degree of freedom for electrons, has drawn considerable attention due to its significant potential for encoding and storing information. Lifting the energy degeneracy to achieve valley polarization is necessary for…

Materials Science · Physics 2020-03-11 Pei Zhaos , Yandong Ma , Hao Wang , Baibiao Huang , Liangzhi Kou , Ying Dai

Van der Waals heterostructures of 2D materials provide a powerful approach towards engineering various quantum phases of matters. Examples include topological matters such as quantum spin Hall (QSH) insulator, and correlated matters such as…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Qizhong Zhu , Matisse Wei-Yuan Tu , Qingjun Tong , Wang Yao

Different from the two-dimensional (2D) topological insulator, the 2D topological crystalline insulator (TCI) phase disappears when the mirror symmetry is broken, e.g., upon placing on a substrate. Here, based on a new family of 2D TCIs -…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 C. Niu , P. M. Buhl , G. Bihlmayer , D. Wortmann , S. Blugel , Y. Mokrousov

Valley-based electronics, known as valleytronics, is one of the keys to break through to a new stage of electronics. The valley degree of freedom is ubiquitous in the honeycomb lattice system. The honeycomb lattice structure of silicon…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 Motohiko Ezawa

Heterostructures of superconductors and quantum-Hall insulators are promising platforms of topological quantum computation. However, these two systems are incompatible in some aspects such as a strong magnetic field, the Meissner effect,…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Ryota Nakai , Koji Kudo , Hiroki Isobe , Kentaro Nomura

We show that hybrid structures of topological insulators and materials without topological protection can be employed to create perfectly conducting channels hosted in the non-topological part. These states inherit the topological…

Mesoscale and Nanoscale Physics · Physics 2014-11-26 Sven Essert , Viktor Krueckl , Klaus Richter

The selective control of specific momentum valleys lies at the core of valleytronics, a field that has thus far focused primarily on the $\mathbf{K}$ and $\mathbf{K'}$ valleys in transition metal dichalcogenides (TMDs). However, direct…

Strongly Correlated Electrons · Physics 2026-05-05 Youngjae Kim

Here we show that twisted graphene trilayer made by misoriented stacking a graphene monolayer on top of a Bernal graphene bilayer can exhibit rich and tailored electronic properties. For the case that the graphene monolayer and bilayer are…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 Jia-Bin Qiao , Lin He

In this Letter, both the manipulation of valley-polarized currents and the optical-like behaviors of Dirac fermions are theoretically explored in polycrystalline graphene. When strain is applied, the misorientation between two graphene…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Viet Hung Nguyen , Samuel Dechamps , Philippe Dollfus , Jean-Christophe Charlier

The presence of chiral modes on the edges of quantum Hall samples is essential to our understanding of the quantum Hall effect. In particular, these edge modes should support ballistic transport and therefore, in a single particle picture,…

Mathematical Physics · Physics 2022-03-09 Alex Bols , Albert H. Werner

Progress on two-dimensional materials has shown that valleys, as energy extrema in a hexagonal first Brillouin zone, provides a new degree of freedom for information manipulation. Then valley Hall topological insulators supporting…

Optics · Physics 2022-10-25 Z. Yu , H. Lin , R. Zhou , Z. Li , Z. Mao , K. Peng , Y. Liu , X. Shi

The tunnel current (TC) and valley current (VC) are crucial in realizing high-speed and energy-saving in next-generation devices. This paper presents the TC and VC link in the partially overlapped graphene. Under the vertical electric…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Ryo Tamura

A topologically protected ring-resonator formed in valley photonic crystals is proposed and fabricated on a silicon slab. The unidirectional transmission and robustness against structure defects of its resonant modes are illustrated.…

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