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Bloch electrons in multiorbital systems carry nontrivial quantum geometric information characteristic of their orbital composition as a function of their wave vector. When such electrons form Cooper pairs, the resultant superconducting…

超导电性 · 物理学 2021-11-10 Weipeng Chen , Wen Huang

Quantum geometry characterizes the geometric properties of Bloch electrons in the wave space, represented by the quantum metric and the Berry curvature. Recent studies have revealed that the quantum geometry plays a major role in various…

超导电性 · 物理学 2022-11-30 Taisei Kitamura , Akito Daido , Youichi Yanase

Even in non-interacting limit, electrons on different Bloch bands of a multiband system do not move as if they are oblivious to the presence of one another. Instead, they move in concert by virtue of a non-Abelian interband Berry…

超导电性 · 物理学 2025-04-23 Yi-Jian Hu , Wen Huang

We investigate the impacts of the quantum geometry of Bloch states, specifically through the band-resolved quantum-metric tensor, on Cooper pairing and flat-band superconductivity in a three-dimensional pyrochlore-Hubbard model. First we…

超导电性 · 物理学 2024-05-07 M. Iskin

Bloch wave functions of electrons have properties called quantum geometry, which has recently attracted much attention as the origin of intriguing physical phenomena. In this paper, we introduce the notion of the quantum-geometric pair…

超导电性 · 物理学 2024-09-12 Akito Daido , Taisei Kitamura , Youichi Yanase

We formulate the superfluid weight in unconventional superconductors with $\bm k$-dependent Cooper pair potentials based on the geometric properties of Bloch electrons. We apply the formula to a model of the monolayer FeSe obtained by the…

超导电性 · 物理学 2021-08-31 Taisei Kitamura , Tatsuya Yamashita , Jun Ishizuka , Akito Daido , Youichi Yanase

Analyzing the consequences of the quantum geometry induced by the momentum dependence of Bloch states has emerged as a very rich and active field in condensed matter physics. For instance, for the superfluid stiffness or the pairing…

超导电性 · 物理学 2025-10-24 Denis Sedov , Mathias S. Scheurer

Two-dimensional van der Waals heterostructures can be engineered into artificial superlattices that host flat bands with significant Berry curvature and provide a favorable environment for the emergence of novel electron dynamics. In…

介观与纳米尺度物理 · 物理学 2023-07-06 Vo Tien Phong , E. J. Mele

Understanding the formation of novel pair density waves (PDWs) in strongly correlated electronic systems remains challenging. Recent mean-field studies suggest that PDW phases may arise in strong-coupling multiband superconductors by virtue…

强关联电子 · 物理学 2025-10-24 Hao-Xin Wang , Wen Huang

Quantum geometry, describing the geometric properties of the Bloch wave function in momentum space, has recently been recognized as a fundamental concept in condensed matter physics. The flat-band system offers the paradigmatic platform…

强关联电子 · 物理学 2026-03-03 Taisei Kitamura , Akito Daido , Youichi Yanase

We explore how the quantum geometric properties of the Bloch wave function, characterized by the Hilbert-Schmidt quantum distance, impact magnetic phases in solid-state systems. To this end, we investigate the spin susceptibility within the…

强关联电子 · 物理学 2025-09-18 Chang-geun Oh , Taisei Kitamura , Akito Daido , Jun-Won Rhim , Youichi Yanase

Quantum geometry quantifies how the single-particle Bloch wavefunction changes in phase and amplitude across the Brillouin Zone. In multi-orbital systems where bands have strongly mixed orbital composition, quantum geometry plays a vital…

强关联电子 · 物理学 2026-02-27 Jixun K. Ding , Martin Claassen

The density functional theory calculations and tight-binding models for the copper-doped lead apatite support flat bands, which could be susceptible to the emergence of high-temperature superconductivity. We develop theory for the geometric…

超导电性 · 物理学 2023-08-28 Wojciech Brzezicki , Timo Hyart

Quantum geometry strongly impacts physical properties in flat-band systems. We consider its role in bosonic condensation and superfluidity on flat bands, and show that the superfluid weight has an important contribution proportional to the…

量子气体 · 物理学 2026-03-11 Kukka-Emilia Huhtinen , Matteo Dürrnagel , Valerio Peri , Sebastian D. Huber

Quantum geometry is a key quantity that distinguishes electrons in a crystal from those in the vacuum. Its study continues to provide insights into quantum materials, uncovering new design principles for their discovery. However, unlike the…

介观与纳米尺度物理 · 物理学 2022-01-03 Tyler B. Smith , Lakshmi Pullasseri , Ajit Srivastava

We study the dynamics of electrons in crystalline solids in the presence of inhomogeneous external electric and magnetic fields. We present a manifestly gauge-invariant operator-based approach without relying on a semiclassical wavepacket…

介观与纳米尺度物理 · 物理学 2025-03-17 Chen Xu , Andreas Haller , Suraj Hegde , Tobias Meng , Thomas L. Schmidt

Geometric analogs of Bloch oscillations studied so far have relied on Berry curvature. We show that a weakly inhomogeneous electric field adds a distinct quantum-metric term to semiclassical wavepacket dynamics, generating an oscillatory…

介观与纳米尺度物理 · 物理学 2026-05-22 M. Maneesh Kumar , Md Kaif Faiyaz , Sayan Sarkar , Amit Agarwal

Quantum geometry, characterized by the quantum geometric tensor, is pivotal in diverse physical phenomena in quantum materials. In condensed matter systems, quantum geometry refers to the geoemtric properties of Bloch states in the…

介观与纳米尺度物理 · 物理学 2025-03-17 Jiabin Yu , B. Andrei Bernevig , Raquel Queiroz , Enrico Rossi , Päivi Törmä , Bohm-Jung Yang

We employ the Bogoliubov approximation to study how the quantum geometry of the helicity states affects the superfluid properties of a spin-orbit-coupled Bose gas in continuum. In particular we derive the low-energy Bogoliubov spectrum for…

量子气体 · 物理学 2022-02-02 A. L. Subasi , M. Iskin

We study the dynamics of the Bogoliubov wave packet in superconductors and calculate the supercurrent carried by the wave packet. We discover an anomalous contribution to the supercurrent, related to the quantum metric of the Bloch wave…

超导电性 · 物理学 2017-08-14 Long Liang , Sebastiano Peotta , Ari Harju , Päivi Törmä
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