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Traditionally, the characteristic length of a superconducting condensate is associated with the spatial distribution of the corresponding gap function. However, the superconducting condensate is the quantum condensate of Cooper pairs and…

Superconductivity · Physics 2022-07-26 Yajiang Chen , A. A. Shanenko

Conductivity in a multiband system can be divided into intra- and interband contributions, and the latter further into symmetric and antisymmetric parts. In a flat band, intraband conductivity vanishes and the antisymmetric interband…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Kukka-Emilia Huhtinen , Päivi Törmä

A singular flat band(SFB), a distinct class of the flat band, has been shown to exhibit various intriguing material properties characterized by a geometric quantity of the Bloch wave function called the quantum distance. We present a…

Strongly Correlated Electrons · Physics 2023-05-02 Hyeongseop Kim , Chang-geun Oh , Jun-Won Rhim

We study the collective effects that emerge in waveguide quantum electrodynamics where several (artificial) atoms are coupled to a one-dimensional superconducting transmission line. Since single microwave photons can travel without loss for…

In material systems with slab geometry, the surface contribution to physical responses is commonly expected to diminish rapidly with increasing thickness, giving way to the bulk response. Here, we show that this conventional wisdom is…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Jin Cao , Wei Du , Xue-Jin Zhang , Cong Xiao , Qian Niu , Shengyuan A. Yang

We study the non-adiabatic dynamics of a 2D p+ip superfluid following a quantum quench of the BCS coupling constant. The model describes a topological superconductor with a non-trivial BCS (trivial BEC) phase appearing at weak (strong)…

Quantum Gases · Physics 2013-11-19 Matthew S. Foster , Maxim Dzero , Victor Gurarie , Emil A. Yuzbashyan

Electrons moving in a Bloch band are known to acquire an anomalous Hall velocity proportional to the Berry curvature of the band which is responsible for the intrinsic linear Hall effect in materials with broken time-reversal symmetry.…

Mesoscale and Nanoscale Physics · Physics 2019-12-17 O. Matsyshyn , I. Sodemann

We show, that in contrast to the free electron model (standard BCS model), a particular gap in the spectrum of multiband superconductors opens at some distance from the Fermi energy, if conduction band is composed of hybridized atomic…

Superconductivity · Physics 2017-10-25 P. I. Arseev , S. O. Loiko , N. K. Fedorov

Predicting the fate of an interacting system in the limit where the electronic bandwidth is quenched is often highly non-trivial. The complex interplay between interactions and quantum fluctuations driven by the band geometry can drive…

Strongly Correlated Electrons · Physics 2023-06-02 Johannes S. Hofmann , Erez Berg , Debanjan Chowdhury

In the presence of multiple bands, well-known electronic instabilities may acquire new complexity. While multiband superconductivity is the subject of extensive studies, the possibility of multiband charge density waves (CDWs) has been…

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

In a flat band superconductor, bosonic excitations can disperse while unpaired electrons are immobile. To study this strongly interacting system, we construct a family of multi-band Hubbard models with exact eta-pairing ground states in all…

Strongly Correlated Electrons · Physics 2022-09-02 Jonah Herzog-Arbeitman , Aaron Chew , Kukka-Emilia Huhtinen , Päivi Törmä , B. Andrei Bernevig

To explore the influence of quantum-geometric effects on the Ginzburg-Landau coherence length in a dilute flat-band superconductor, we adopt a BCS-BEC crossover approach to the multiband pyrochlore-Hubbard model near the critical…

Superconductivity · Physics 2024-10-10 M. Iskin

We present the geodesic nature and quantization of geometric shift vector in quantum systems, with the parameter space defined by the Bloch momentum, using the Wilson loop approach. Our analysis extends to include bosonic phonon drag shift…

Materials Science · Physics 2024-06-18 Hua Wang , Kai Chang

We study the nonlinear Hall effect in superconductors without magnetic fields induced by a quantum geometric phase (i.e., the Aharonov-Bohm phase) carried by single or pair particles. We find that the second-order nonlinear Hall…

Superconductivity · Physics 2025-03-20 Kazuaki Takasan , Naoto Tsuji

We reveal a fundamental geometric structure of momentum space arising from the nonadiabatic evolution of Bloch electrons. By extending semiclassical wave packet theory to incorporate nonadiabatic effects, we introduce a momentum-space…

Materials Science · Physics 2026-03-26 Yafei Ren

An indispensable ingredient for pair density wave (PDW) superconductivity is the presence of an attractive pairing interaction at finite momentum. Here, we show how this condition can be met with straightforward electron-density…

Superconductivity · Physics 2024-10-16 Nicole Sabina Ticea , Srinivas Raghu , Yi-Ming Wu

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…

Strongly Correlated Electrons · Physics 2025-10-24 Hao-Xin Wang , Wen Huang

The quantum Hall effect (QHE) is theoretically understood as a superfluid condensate of composite bosons (CBs) -- bound states of electrons and magnetic flux quanta. While dissipationless transport is consistent with this picture, other…

Mesoscale and Nanoscale Physics · Physics 2026-03-06 Yuanze Li , Renfei Wang , Jiahao Chen , Wenfeng Zhang , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Rui-Rui Du , Yang Liu , Tian Liang

We report on the result of quantum Monte Carlo simulation of quasi-one-dimensional electron systems at 1/4-filling, considering organic superconductors such as TMTSF- and TMTTF-salts. We focus on the effect of dimensionality (interchain…

Strongly Correlated Electrons · Physics 2009-11-13 Tohru Aonuma , Yuki Fuseya , Masao Ogata