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We investigate theoretically and experimentally the statistical properties of the inhomogeneous order-parameter distribution (OPD) at the verge of the superconductor-insulator transition (SIT). We find within two prototype fermionic and…

We investigate the disordered flat-band superconductivity within the attractive Hubbard model on the kagome lattice by contrasting the flat-band-preserving disorder [Phys. Rev. B 98, 235109 (2018)] with the random hopping disorder that…

Superconductivity · Physics 2026-01-06 Jicheol Kim , Dong-Hee Kim

We study the nature of the superfluid--insulator quantum phase transition in a one-dimensional system of lattice bosons with off-diagonal disorder in the limit of large integer filling factor. Monte Carlo simulations of two strongly…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Karén G. Balabanyan , Nikolay Prokof'ev , Boris Svistunov

We consider the effect of disorder on the tight-binding Hamiltonians with a flat band and derive a common mathematical formulation of the average density of states and inverse participation ratio applicable for a wide range of them. The…

Disordered Systems and Neural Networks · Physics 2018-09-12 Pragya Shukla

Recent experimental studies on strongly disordered indium oxide films have revealed an unusual first-order quantum phase transition between the superconducting and insulating states (SIT). This transition is characterized by a discontinuous…

Superconductivity · Physics 2024-08-28 Igor Poboiko , Mikhail Feigel'man

A clean noninteracting parabolic semimetal is characterized by quadratic band touching between the conduction and the valence bands at isolated diabolic points in the Brillouin zone and describes a fermionic quantum critical system with…

Strongly Correlated Electrons · Physics 2014-10-01 Hsin-Hua Lai , Bitan Roy , Pallab Goswami

We seek the possibility of a disorder driven transition in a tight-binding lattice with a flat band using complexity parameter approach. Our results indicate the existence of a localized to extended states transition with increasing…

Statistical Mechanics · Physics 2018-11-14 Pragya Shukla

We study the influence of disorder on the topological transition from a two-dimensional Dirac semi-metal to an insulating state. This transition is described as a continuous merging of two Dirac points leading to a semi-Dirac spectrum at…

Mesoscale and Nanoscale Physics · Physics 2013-07-26 David Carpentier , Andrei A. Fedorenko , Edmond Orignac

We report on a phenomenological study of superfluid to Mott insulator transitions of bosons on the triangular lattice, focusing primarily on the interplay between Mott localization and geometrical charge frustration at 1/2-filling. A…

Strongly Correlated Electrons · Physics 2009-11-11 A. A. Burkov , Leon Balents

It is well known that the metal-insulator transition in two dimensions for non-interacting fermions takes place at infinitesimal disorder. In contrast, the superconductor-to-insulator transition takes place at a finite critical disorder (on…

Superconductivity · Physics 2013-09-20 Nandini Trivedi , Yen Lee Loh , Karim Bouadim , Mohit Randeria

We report on results of theoretical study of non-uniform superconducting states in quasi-one-dimensional systems, with attractive interactions and Zeeman splitting between electron spins. Using bosonization to treat intrachain…

Superconductivity · Physics 2009-10-31 Kun Yang

We show that a qubit transfer protocol can be realized through a flat band hosted by a disordered $XX$ spin-1/2 diamond chain. In the absence of disorder, the transmission becomes impossible due to the compact localized states forming the…

Quantum Physics · Physics 2023-08-10 G. M. A. Almeida , R. F. Dutra , A. M. C. Souza , M. L. Lyra , F. A. B. F. de Moura

We introduce a new renormalization group theory to examine the quantum phase transitions upon exiting the insulating phase of a disordered, strongly interacting boson system. For weak disorder we find a direct transition from this Mott…

Condensed Matter · Physics 2009-10-30 Ferenc Pazmandi , Gergely T. Zimanyi

It is now possible to study experimentally the combined effect of disorder and interactions in cold atom physics. Motivated by these developments we investigate the dynamics around the metal-insulator transition (MIT) in a one-dimensional…

Quantum Gases · Physics 2012-03-22 Masaki Tezuka , Antonio M. Garcia-Garcia

We study the effect of quasiperiodic perturbations on one-dimensional all-bands-flat lattice models. Such networks can be diagonalized by a finite sequence of local unitary transformations parameterized by angles $\theta_i$. Without loss of…

Disordered Systems and Neural Networks · Physics 2023-04-13 Sanghoon Lee , Alexei Andreanov , Sergej Flach

We investigate the superfluid-insulator quantum phase transition of one-dimensional bosons with off-diagonal disorder by means of large-scale Monte-Carlo simulations. For weak disorder, we find the transition to be in the same universality…

Disordered Systems and Neural Networks · Physics 2013-01-03 Fawaz Hrahsheh , Thomas Vojta

We use the density matrix renormalization group to study the quantum transitions that occur in the half-filled one-dimensional fermionic Hubbard model with onsite potential disorder. We find a transition from the gapped Mott phase with…

Strongly Correlated Electrons · Physics 2016-08-15 Ramesh V. Pai , Alexander Punnoose , Rudolf A. Römer

More than fifty years old "Anderson's theorem" suggests disorder-independent pair-amplitude and critical temperature at low to moderate strength of disorders. In spite of the extension of this paradigm and several subsequent theoretical…

Superconductivity · Physics 2012-11-30 Sudhansu S. Mandal , Sanjib Ghosh

We investigate superconductivity in a two-dimensional material described by a two-band heavy-fermion model, where hybridization between a dispersive band and a flat band introduces a quasi-flat dispersion to the otherwise localized…

Superconductivity · Physics 2025-07-25 A. A. Zyuzin , A. Yu. Zyuzin

We uncover a disorder-driven instability in the diffusive Fermi liquid phase of a class of many-fermion systems, indicative of a metal-insulator transition of first order type, which arises solely from the competition between quenched…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matthew S. Foster , Andreas W. W. Ludwig