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How the macroscopic quantum coherence can resist to the decoherence attacks of high temperature is a major challenge for the science of the 21st century. Superstripes 2017 conference held in Ischia on June 2017 has been focused on the new…

Superconductivity · Physics 2018-02-15 Antonio Bianconi

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 derive the linearized Ginzburg-Landau (GL) equation for a curved ultra-thin superconducting film in the presence of a magnetic field. By introducing a novel transverse order parameter that varies slowly along the film with the…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Long Du , Qinghua Chen , Minsi Li , Jiahong Gu , Guangzhen Kang , Yong-Long Wang

After the discovery of the $s$-wave and $p$-wave holographic superconductors, holographic models of $d$-wave superconductor have also been constructed recently. We study analytically the perturbation of the dual gravity theory to calculate…

High Energy Physics - Theory · Physics 2011-02-02 Hua-Bi Zeng , Yu Jiang , Zhe-Yong Fan , Hong-Shi Zong

This article reviews recent experimental and theoretical progress on many-body phenomena in dilute, ultracold gases. Its focus are effects beyond standard weak-coupling descriptions, like the Mott-Hubbard-transition in optical lattices,…

Other Condensed Matter · Physics 2008-07-21 Immanuel Bloch , Jean Dalibard , Wilhelm Zwerger

Based on previous works, analytical calculational procedures for dealing with the strongly interacting fermions ground state are further developed through a medium dependent potential in terms of the Bethe-Peierls contact interaction model.…

Statistical Mechanics · Physics 2008-11-26 Ji-sheng Chen , Chuan-ming Cheng , Jia-rong Li , Yan-ping Wang

We investigate the coherence properties of an atomic beam evaporatively cooled in a magnetic guide, assuming thermal equilibrium in the quantum degenerate regime. The gas experiences two-dimensional, transverse Bose-Einstein condensation…

Statistical Mechanics · Physics 2015-06-24 Yvan Castin , Ralph Dum , Emmanuel Mandonnet , Anna Minguzzi , Iacopo Carusotto

We derive a method to study the phase diagram for high temperature superconductors (HTCS). Our starting point is the Hubbard Hamiltonian with a weak attractive interaction to obtain the formation of bound pairs. We consider this attractive…

Condensed Matter · Physics 2009-10-28 Evandro V. L. de Mello

We study the effects of quenched disorder on the two-dimensional d-wave superconductors (SC's) at zero temperature by Monte-Carlo simulations. The model is defined on the three-dimesional (3D) lattice and the SC pair field is put on each…

Superconductivity · Physics 2009-10-11 Tomonori Shimizu , Shunsuke Doi , Ikuo Ichinose , Tetsuo Matsui

We construct a holographic p-wave superconductor model in the background of quintessence AdS black hole with an SU(2) Yang-Mills gauge field and then probe the effects of quintessence on the holographic p-wave superconductor. We investigate…

General Relativity and Quantum Cosmology · Physics 2013-10-08 Songbai Chen , Qiyuan Pan , Jiliang Jing

We show that two-band superconductors harbor hidden criticality deep in the superconducting state, stemming from the critical temperature of the weaker band taken as an independent system. For sufficiently small interband coupling $\gamma$…

Superconductivity · Physics 2012-06-19 L. Komendová , Yajiang Chen , A. A. Shanenko , M. V. Milošević , F. M. Peeters

Quantum geometry defines the phase and amplitude distances between quantum states. The phase distance is characterized by the Berry curvature and thus relates to topological phenomena. The significance of the full quantum geometry,…

Superconductivity · Physics 2023-12-20 Paivi Torma

We investigate the behavior of the superconducting transition temperature within a previously developed BCS-Bose Einstein crossover picture. This picture, based on a decoupling scheme of Kadanoff and Martin, further extended by Patton, can…

Superconductivity · Physics 2007-05-23 Qijin Chen , Ioan Kosztin , Boldizsar Janko , K. Levin

We derive Ginzburg - Landau (GL) expansion in disordered attractive Hubbard model within the combined Nozieres - Schmitt-Rink and DMFT+Sigma approximation. Restricting ourselves to the case of homogeneous expansion, we analyze disorder…

Superconductivity · Physics 2016-05-04 E. Z. Kuchinskii , N. A. Kuleeva , M. V. Sadovskii

We show that the spatial dimensionality of the quantum critical point associated with Bose--Einstein condensation at T=0 is reduced when the underlying lattice comprises a set of layers coupled by a frustrating interaction. Our theoretical…

Strongly Correlated Electrons · Physics 2009-11-11 C. D. Batista , J. Schmalian , N. Kawashima , P. Sengupta , S. E. Sebastian , N. Harrison , M. Jaime , I. R. Fisher

We consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point interactions, we prove that the critical…

Mathematical Physics · Physics 2024-03-27 Christian Hainzl , Barbara Roos , Robert Seiringer

We review the theoretical description of the role of quantum geometry in superfluidity and superconductivity of multiband systems, with focus on flat bands where quantum geometry is wholly responsible for supercurrents. This review differs…

Quantum Gases · Physics 2025-12-01 Sebastiano Peotta , Kukka-Emilia Huhtinen , Päivi Törmä

We study the relation between the quantum geometry of wave functions and the Landau level (LL) spectrum of two-band Hamiltonians with a quadratic band crossing point (QBCP) in two-dimensions. By investigating the influence of interband…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Junseo Jung , Hyeongmuk Lim , Bohm-Jung Yang

Coherence properties are central to quantum systems and are at the heart of phenomena such as superconductivity. Here we study coherence properties of an ultracold Bose gas in a two-dimensional optical lattice across the thermal phase…

Quantum Gases · Physics 2024-10-15 Justus C. Brüggenjürgen , Mathis S. Fischer , Christof Weitenberg

The free energy expansion of a two-band pair-transfer superconductor is developed. A critical in temperature and a noncritical coherence length appear. The effective in-plane $\xi_{ab}$, $H_{c2}\sp c\sim \xi_{ab}\sp{-2}$ and the…

Superconductivity · Physics 2007-05-23 N. Kristoffel , T. Ord , P. Rubin