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Flat-band systems offer a uniquely powerful tool for quantum control in dynamics due to their characteristic feature of having a dispersionless energy band. Simulating such highly sensitive systems on current digital quantum computers is a…

Quantum Physics · Physics 2025-10-27 Mrinal Kanti Giri , Pochung Chen

It has long been noticed that special lattices contain single-electron flat bands (FB) without any dispersion. Since the kinetic energy of electrons is quenched in the FB, this highly degenerate energy level becomes an ideal platform to…

Strongly Correlated Electrons · Physics 2014-07-16 Zheng Liu , Feng Liu , Yong-Shi Wu

Fractals, a fascinating mathematical concept made popular in the eighties, remained for decades a beautiful scientific curiosity mainly. With the tremendous advances in nanofabrication techniques, such as nanolithography, it has become…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Georges Bouzerar , Didier Mayou

Flat-band (FB) materials have emerged as promising platforms for exploring exotic quantum phases. While numerous candidates have recently been identified through spectroscopic techniques such as angle-resolved photoemission spectroscopy,…

Strongly Correlated Electrons · Physics 2025-08-25 Fabian Garmroudi , Xinlin Yan , Silke Paschen , Sean M. Thomas , Eric D. Bauer , Andrej Pustogow , Priscila F. S. Rosa

Over the past years, one witnesses a growing interest in flat band (FB) physics which has become a playground for exotic phenomena. In this study, we address the FB superconductivity in onedimensional stub chain. In contrast to the sawtooth…

Superconductivity · Physics 2023-09-21 Maxime Thumin , Georges Bouzerar

We consider a periodic quantum graph in the form of a rectangular lattice with the $\delta$-coupling of strength $\gamma$ in the vertices perturbed by changing the latter at an infinite straight array of vertices to a…

Spectral Theory · Mathematics 2024-12-31 Marzieh Baradaran , Pavel Exner , Andrii Khrabustovskyi

The outcoupling of a Bose-Einstein condensate through an optical lattice provides an interesting scenario to study quantum transport phenomena or the analog Hawking effect as the system can reach a quasi-stationary black-hole configuration.…

Quantum Gases · Physics 2017-07-18 J. R. M. de Nova , F. Sols , I. Zapata

Over the past ten years, flat band (FB) or geometric superconductivity has become a major issue in condensed matter physics due to the significant technological benefits it could offer. Observations of this unconventional form of…

Superconductivity · Physics 2025-07-11 M. Thumin , G. Bouzerar

This work investigates the quantum transport in a narrow constriction acted upon by a finite-range transversely polarized time-dependent electric field. A generalized scattering-matrix method is developed that has incorporated a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. S. Tang , C. S. Chu

Flat-band materials have attracted substantial interest for their intriguing quantum geometric effects. Here we investigate how singular flat bands (SFBs) respond to a static, uniform electric field and whether they can support…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Xuanyu Long , Feng Liu

Within ten years, flat band (FB) superconductivity has gained a huge interest for its remarkable features and connection to quantum geometry. We investigate the superconductivity in a FB system whose orbitals are inequivalent and in which…

Superconductivity · Physics 2023-10-09 M. Thumin , G. Bouzerar

There is a recent upsurge of interests in flat bands in condensed-matter systems and the consequences for magnetism and superconductivity. This article highlights the physics, where peculiar quantum-mechanical mechanisms for the physical…

Superconductivity · Physics 2025-10-23 Hideo Aoki

The geometry of optical lattices can be engineered allowing the study of atomic transport along paths arranged in patterns that are otherwise difficult to probe in the solid state. A question readily accessible to atomic systems is related…

Quantum Gases · Physics 2016-05-02 Mekena Metcalf , Gia-Wei Chern , Massimiliano Di Ventra , Chih-Chun Chien

Flat electronic bands are counterintuitive: with the electron velocity vanishing, our conventional notions of quasiparticle transport are no longer valid. We here study the quantum transport in the generalized families of perfectly flat…

Strongly Correlated Electrons · Physics 2022-10-04 Alexander Kruchkov

In this review, we present recent works on materials whose common point is the presence of electronic bands of very low dispersion, called "flat bands", which are due to specific atomic order effects without electron interactions. These…

Charge-neutral graphene in the quantum Hall regime is an example of a quantum Hall ferromagnet in a complex spin-valley space. This system exhibits a plethora of phases, with the particular spin-valley order parameters chosen by the system…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 Jincheng An , Ganpathy Murthy

We have studied the quantum transport in a narrow constriction acted upon by a finite-range longitudinally polarized time-dependent electric field. The electric field induces coherent inelastic scatterings which involve both intra-subband…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. S. Tang , C. S. Chu

It is a well known fact, that the disorder has its most dramatic effects on the conventional quantum transport in one dimensional systems. In flat band (FB) systems, it is revealed that the conductivity at the FB energy is robust against…

Quantum Physics · Physics 2022-10-05 G. Bouzerar

We investigate quantum tunneling of charge carriers through a periodic superlattice in twisted bilayer graphene (TBG) with rectangular potential barriers, including the presence of a defect, using a low-energy continuum model. Transmission…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Ayoub Bahlaoui , Youness Zahidi , Ahmed Naddami

Flat bands may offer a route to high critical temperatures of superconductivity. It has been predicted that the quantum geometry of the bands as well as the ratio of the number of flat bands to the number of orbitals determine flat band…

Superconductivity · Physics 2025-02-04 Reko P. S. Penttilä , Kukka-Emilia Huhtinen , Päivi Törmä
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