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The quantum geometric tensor, which has the quantum metric and Berry curvature as its real and imaginary parts, plays a key role in the transport properties of condensed matter systems. In the nonlinear regime, the quantum metric dipole and…

Mesoscale and Nanoscale Physics · Physics 2025-05-02 Xu Yang , Brian Skinner

Quantized transport not only exist in gapped topological states but also in metallic states. Recently, Kane proposed a quantized nonlinear conductance in ballistic metals whose value is determined by the Euler characteristic of the Fermi…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Fan Yang , Xingyu Li

The spin orientation of electronic wavefunctions in crystals is an internal degree of freedom, typically insensitive to electrical knobs. We argue from a general symmetry analysis and a $\vec k \cdot \vec p$ perspective, that monolayer…

Mesoscale and Nanoscale Physics · Physics 2019-01-03 Li-kun Shi , Justin C. W. Song

Local phase control of electromagnetic wave, the basis of a diverse set of applications such as hologram imaging, polarization and wave-front manipulation, is of fundamental importance in photonic research. However, the bulky, passive phase…

Materials Science · Physics 2015-11-25 Ziqi Miao , Qiong Wu , Xin Li , Qiong He , Kun Ding , Zhenghua An , Yuanbo Zhang , Lei Zhou

The quantum geometry, comprising Berry curvature and quantum metric, plays a fundamental role in governing electron transport phenomena in solids. Recent studies show that the quantum metric dipole drives scattering-free nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Tong-Yang Zhao , An-Qi Wang , Zhen-Tao Zhang , Zheng-Yang Cao , Xing-Yu Liu , Zhi-Min Liao

The field of spinoptronics is underpinned by good control over photonic spin-orbit coupling in devices that possess strong optical nonlinearities. Such devices might hold the key to a new era of optoelectronics where momentum and…

The photogalvanic effect (PGE), a fundamental nonlinear optical phenomenon in non-centrosymmetric materials, generates direct photocurrent under polarized light. Using quantum kinetic theory within the relaxation-time approximation, we…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Bristi Ghosh , Malay Bandyopadhyay , Snehasish Nandy

Two-dimensional materials are a fertile ground for exploring quantum geometric phenomena, with Berry curvature and its first moment, the Berry curvature dipole, playing a central role in their electronic response. These geometric properties…

In Bi$_2$Te$_2$Se, the period of quantum oscillations arising from surface Dirac fermions can be increased 6-fold using ionic liquid gating. At large gate voltages, the Fermi energy reaches the $N$ = 1 Landau level in a 14-Tesla field. This…

Mesoscale and Nanoscale Physics · Physics 2013-07-24 Jun Xiong , Yuehaw Khoo , Shuang Jia , R. J. Cava , N. P. Ong

Light-induced phase transitions offer a method to dynamically modulate topological states in bulk complex materials. Yet, next-generation devices demand nanoscale architectures with contact resistances near the quantum limit and precise…

Recent experiments in rhombohedrally-stacked multilayer graphene heterostructures have reported signatures of chiral superconductivity, emerging from a spin and valley-polarized normal state with broken time-reversal symmetry and an…

Superconductivity · Physics 2025-12-08 Adarsh S. Patri , Marcel Franz

Berry phase physics is closely related to a number of topological states of matter. Recently discovered topological semimetals are believed to host a nontrivial $\pi$ Berry phase to induce a phase shift of $\pm 1/8$ in the quantum…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 C. M. Wang , Hai-Zhou Lu , Shun-Qing Shen

New materials such as nodal-line semimetals offer a unique setting for novel transport phenomena. Here, we calculate the quantum correction to conductivity in a disordered nodal-line semimetal. The torus-shaped Fermi surface and encircled…

Mesoscale and Nanoscale Physics · Physics 2019-05-21 Wei Chen , Hai-Zhou Lu , Oded Zilberberg

Optical control of topology, particularly in the presence of electron correlations, is a fascinating topic with broad scientific and technological impact. Twisted MoTe$_2$ bilayer (tMoTe$_2$) is a newly discovered zero-field fractional…

We show that the position-momentum duality offers a transparent interpretation of the band geometry at the topological band crossings. Under this duality, the band geometry with Berry connection is dual to the free-electron motion under…

Mesoscale and Nanoscale Physics · Physics 2022-02-21 Yu-Ping Lin , Wei-Han Hsiao

We investigated the pressure evolution of the electrical transport in the almost compensated Weyl semimetal TaP. In addition, we obtained information on the modifications of the Fermi-surface topology with pressure from the analysis of…

Materials Science · Physics 2019-04-12 M. Besser , R. D. dos Reis , F. -R. Fan , M. O. Ajeesh , Y. Sun , M. Schmidt , C. Felser , M. Nicklas

We employ ultrabroadband terahertz (THz) spectroscopy to expose the high-frequency transport properties of Dirac fermions in monolayer graphene. By controlling the carrier concentration via tunable electrical gating, both equilibrium and…

Mesoscale and Nanoscale Physics · Physics 2024-10-29 G. Coslovich , R. P. Smith , S. -F. Shi , J. H. Buss , J. T. Robinson , F. Wang , R. A. Kaindl

Combining the ability to prepare high-quality, intrinsic Bi$_2$Te$_3$ topological insulator thin films of low carrier density with in-situ protective capping, we demonstrate a pronounced, gate-tunable change in transport properties of…

Mesoscale and Nanoscale Physics · Physics 2016-07-04 Prosper Ngabonziza , Martin P. Stehno , Hiroaki Myoren , Viola A. Neumann , Gertjan Koster , Alexander Brinkman

In non-relativistic physics, the concepts of geometry and topology are usually applied to characterize spatial structures or structures in momentum space. We introduce the concept of temporal geometry, which encompasses the geometric and…

Quantum Physics · Physics 2025-06-03 Andres F. Ordonez , Aycke Roos , Pablo M. Maier , Piero Decleva , David Ayuso , Olga Smirnova

Berry curvature is an imaginary component of the quantum geometric tensor (QGT) and is well studied in many branches of modern physics; however, the quantum metric as a real component of the QGT is less explored. Here, by using tunable…