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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…

Strongly Correlated Electrons · Physics 2026-02-27 Jixun K. Ding , Martin Claassen

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…

Strongly Correlated Electrons · Physics 2026-03-03 Taisei Kitamura , Akito Daido , Youichi Yanase

We construct a Hubbard model with a nearly flat band whose quantum geometry can be tuned independently of the energy dispersion and the Coulomb interaction. We show that, when the nearly flat band is half-filled, the exact ground state of…

Strongly Correlated Electrons · Physics 2026-03-03 Taisei Kitamura , Hiroki Nakai , Hosho Katsura , Ryotaro Arita

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…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Jiabin Yu , B. Andrei Bernevig , Raquel Queiroz , Enrico Rossi , Päivi Törmä , Bohm-Jung Yang

We have analysed here the role of the geometric phase in dynamical mechanism of quantum phase transition in the transverse Ising model. We have investigated the system when it is driven at a fixed rate characterized by a quench time…

Strongly Correlated Electrons · Physics 2015-05-19 B. Basu , P. Bandyopadhyay

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…

Superconductivity · Physics 2025-10-24 Denis Sedov , Mathias S. Scheurer

The geometric characteristics of Bloch wave functions play a crucial role in electronic transport properties. We show that the thermoelectric performance of materials is governed by the geometric structure of Bloch wave functions within the…

Mesoscale and Nanoscale Physics · Physics 2024-08-09 Chang-geun Oh , Kun Woo Kim , Jun-Won Rhim

Bloch electrons in multiorbital systems carry quantum geometric information characteristic of their wavevector-dependent interorbital mixing. The geometric nature impacts electromagnetic responses, and this effect carries over to the…

Superconductivity · Physics 2023-07-11 Weipeng Chen , Wen Huang

Recent studies have revealed that the quantum geometry of electronic bands determines the electromagnetic properties of non-interacting insulators and semimetals. However, the role of quantum geometry in the optical responses of interacting…

Strongly Correlated Electrons · Physics 2026-04-01 Deven P. Carmichael , Martin Claassen

Geometric phases have been used in NMR, to implement controlled phase shift gates for quantum information processing, only in weakly coupled systems in which the individual spins can be identified as qubits. In this work, we implement…

Quantum Physics · Physics 2009-11-13 T. Gopinath , Anil Kumar

Within the wave-packet semiclassical approach, the Bloch electron energy is derived to second order in the magnetic field and classified into gauge-invariant terms with clear physical meaning, yielding a fresh understanding of the complex…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 Yang Gao , Shengyuan A. Yang , Qian Niu

Quantum phase transitions between the magnetically ordered and disordered states are studied for the two-dimensional antiferromagnetic quantum spin systems with ladder, plaquette, and mixed-spin structures. Starting with properly chosen…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koga , S. Kumada , N. Kawakami

Magnetometry is a powerful technique for the non-invasive study of biological and physical systems. A key challenge lies in the simultaneous optimization of magnetic field sensitivity and maximum field range. In interferometry-based…

The interplay between electronic correlations and band topology is a central theme in modern condensed matter physics. In this work, we investigate the effects of on-site Hubbard interactions on the topological, magnetic, and quantum…

Strongly Correlated Electrons · Physics 2025-10-01 Abdiel de Jesús Espinosa-Champo , Gerardo G. Naumis

The orbital magnetic susceptibility of an electron gas in a periodic potential depends not only on the zero field energy spectrum but also on the geometric structure of cell-periodic Bloch states which encodes interband effects. In addition…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Frédéric Piéchon , Arnaud Raoux , Jean-Noël Fuchs , Gilles Montambaux

The optical properties of solids are governed not only by their energy band dispersions but also by the quantum geometry of Bloch states. While the role of energy bands in determining the perceived optical appearance of materials, such as…

Optics · Physics 2025-07-29 Chang-geun Oh , Sun-Woo Kim

We describe the effect of geometric phases induced by either classical or quantum electric fields acting on single electron spins in quantum dots in the presence of spin-orbit coupling. On one hand, applied electric fields can be used to…

Mesoscale and Nanoscale Physics · Physics 2008-01-09 Pablo San-Jose , Burkhard Scharfenberger , Gerd Schön , Alexander Shnirman , Gergely Zarand

The physics underlying the magnetization process of quantum antiferromagnets is revisited from the viewpoint of geometric phases. A continuum variant of the Lieb-Schultz-Mattis-type approach to the problem is put forth, where the…

Statistical Mechanics · Physics 2009-05-14 Akihiro Tanaka , Keisuke Totsuka , Xiao Hu

We predict a geometric quantum phase shift of a moving electric dipole in the presence of an external magnetic field at a distance. On the basis of the Lorentz-covariant field interaction approach, we show that a geometric phase appears…

Quantum Physics · Physics 2018-04-04 Kang-Ho Lee , Young-Wan Kim , Kicheon Kang

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…

Mesoscale and Nanoscale Physics · Physics 2022-01-03 Tyler B. Smith , Lakshmi Pullasseri , Ajit Srivastava
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