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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

Valleytronics is a rapidly advancing field that explores the use of the valley degree of freedom in electronic systems to encode and process information. It relies on electronic states with spin valley locking, first predicted and observed…

Mesoscale and Nanoscale Physics · Physics 2026-04-09 Subin Mali , Yingdong Guan , Lujin Min , David Graf , Zhiqiang Mao

Modulation of electronic states in two-dimensional (2D) materials can be achieved by using in-plane variations of the band gap or the average potential in lateral quantum structures. In the atomic configurations with hexagonal symmetry,…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 Feng-Wu Chen , Mei-Yin Chou , Yiing-Rei Chen , Yu-Shu Wu

Electrons in certain two-dimensional crystals possess a pseudospin degree of freedom associated with the existence of two inequivalent valleys in the Brillouin zone. If, as in monolayer MoS2, inversion symmetry is broken and time-reversal…

Disordered Systems and Neural Networks · Physics 2015-09-28 Thomas Olsen , Ivo Souza

A large set of recent experiments has been exploring topological transport in bosonic systems, e.g. of photons or phonons. In the vast majority, time-reversal symmetry is preserved, and band structures are engineered by a suitable choice of…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Tirth Shah , Florian Marquardt , Vittorio Peano

The valley degree of freedom in atomically thin transition-metal dichalcogenides provides a natural binary index for information processing. Exciton-polaritons formed under strong light-matter coupling offer a promising route to overcome…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Xingzhou Chen , Yuanjun Guan , Areg Ghazaryan , Shiran Sun , Lingxiao Yu , Ruitao Lv , Artem Volosniev , Zheng Sun , Jian Wu

The altermagnetism caused by alternating crystal environment provides a unique opportunity for designing new type of valley polarization. Here, we propose a way to realize valley polarization in two-dimensional (2D) tetragonal…

Mesoscale and Nanoscale Physics · Physics 2024-09-24 San-Dong Guo Xiao-Shu Guo , Guangzhao Wang

Valley, the energy extrema in the electronic band structure at momentum space, is regarded as a new degree of freedom of electrons, in addition to charge and spin. The studies focused on valley degree of freedom now form an emerging field…

Materials Science · Physics 2020-02-13 He Hu , Wen-Yi Tong , Yu-Hao Shen , Xiangang Wan , Chun-Gang Duan

Local energy extrema of the bands in momentum space, or valleys, can endow electrons in solids with pseudo-spin in addition to real spin. In transition metal dichalcogenides this valley pseudo-spin, like real spin, is associated with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Grant Aivazian , Zhirui Gong , Aaron M Jones , Rui-Lin Chu , Jiaqiang Yan , David G Mandrus , Chuanwei Zhang , David Cobden , Wang Yao , Xiaodong Xu

A recent scientific debate has arisen: Which processes underlie the actual ground of the valley Hall effect (VHE) in two-dimensional materials? The original VHE emerges in samples with ballistic transport of electrons due to the anomalous…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 I. Vakulchyk , V. M. Kovalev , I. G. Savenko

We derive an efficient formula for Z$_2$ topological invariants characterizing the quantum spin Hall effect. It is defined in a lattice Brillouin zone, which enables us to implement numerical calculations for realistic models even in three…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 T. Fukui , Y. Hatsugai

Ferro-valleytricity, a fundamental phenomenon that manifests spontaneous valley polarization, is generally considered to occur in two-dimensional (2D) materials with out-of-plane magnetization. Here, we propose a mechanism to realize…

Materials Science · Physics 2024-09-10 Yibo Liu , Yangyang Feng , Ying Dai , Baibiao Huang , Yandong Ma

The topological Hall effect is used extensively to study chiral spin textures in various materials. However, the factors controlling its magnitude in technologically-relevant thin films remain uncertain. Using variable temperature…

The application of a mechanical strain to a 2D material can create pseudo-magnetic fields and lead to a quantized valley Hall effect. However, measuring valley-resolved effects remains a challenging task due to their inherent fragility and…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 Maxime Jamotte , Lucila Peralta Gavensky , Cristiane Morais Smith , Marco Di Liberto , Nathan Goldman

Altermagnetism, the third class of collinear magnetic order, uniquely combines a zero net magnetization with spin polarized bands in reciprocal space, opening new avenues for two dimensional valleytronics and spintronics. Here, using first…

Materials Science · Physics 2026-04-02 Quan Shen , Jianing Tan , Tao Yao , Wenhu Liao , Jiansheng Dong

In a number of widely-studied materials, such as Si, AlAs, Bi, graphene, MoS2, and many transition metal dichalcogenide monolayers, electrons acquire an additional, spin-like degree of freedom at the degenerate conduction band minima, also…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 M. A. Mueed , Md. Shafayat Hossain , I. Jo , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Spin-orbit coupling is a fundamental mechanism that connects the spin of a charge carrier with its momentum. Likewise, in the optical domain, a synthetic spin-orbit coupling is accessible, for instance, by engineering optical anisotropies…

We develop a theory of the valley Hall effect in high-quality graphene samples, in which strain fluctuation-induced random gauge potentials have been suggested as the dominant source of disorder. We find a near-quantized value of valley…

Mesoscale and Nanoscale Physics · Physics 2019-05-16 Wen-Yu Shan , Di Xiao

We propose an effective lattice Hamiltonian for monolayer MoS$_2$ in order to describe the low-energy band structure and investigate the effect of perpendicular electric and magnetic fields on its electronic structure. We derive a…

Mesoscale and Nanoscale Physics · Physics 2013-09-04 Habib Rostami , Ali G. Moghaddam , Reza Asgari

In a recent work, new two-dimensional materials, the monolayer MoSi$_{2}$N$_{4}$ and WSi$_{2}$N$_{4}$, have been successfully synthesized in experiment, and several other monolayer materials with the similar structure, such as…

Materials Science · Physics 2021-01-01 Si Li , Weikang Wu , Xiaolong Feng , Shan Guan , Wanxiang Feng , Yugui Yao , Shengyuan A. Yang