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We study superconductivity of twisted bilayer graphene with local and non-local attractive interactions. We obtain the superfluid weight and Berezinskii-Kosterlitz-Thouless (BKT) transition temperature for microscopic tight-binding and…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Aleksi Julku , Teemu J. Peltonen , Long Liang , Tero T. Heikkilä , Päivi Törmä

Flat-band superconductivity has theoretically demonstrated the importance of band topology to correlated phases. In two dimensions, the superfluid weight, which determines the critical temperature through the Berezinksii-Kosterlitz-Thouless…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Jonah Herzog-Arbeitman , Valerio Peri , Frank Schindler , Sebastian D. Huber , B. Andrei Bernevig

We obtain the superfluid weight and Berezinskii-Kosterlitz-Thouless (BKT) transition temperature for highly unconventional superconducting states with the coexistence of chiral d-wave superconductivity, charge density waves and pair density…

Superconductivity · Physics 2021-01-05 Feng Xu , Lei Zhang , Liyun Jiang , Wendeng Huang , Chung-Yu Mou

In the pursuit of higher critical temperature of superconductivity, quasi-flat electronic bands and van Hove singularities in two dimensions (2D) have emerged as a potential approach to enhance Cooper pairing on the basis of mean-field…

Two-dimensional superconductors and electron-hole superfluids in van der Waals heterostructures having tunable valence and conduction bands in the electronic spectrum are emerging as rich platforms to investigate novel quantum phases and…

Superconductivity · Physics 2024-03-14 Giovanni Midei , Andrea Perali

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

We formulate the superfluid weight in unconventional superconductors with $\bm k$-dependent Cooper pair potentials based on the geometric properties of Bloch electrons. We apply the formula to a model of the monolayer FeSe obtained by the…

Superconductivity · Physics 2021-08-31 Taisei Kitamura , Tatsuya Yamashita , Jun Ishizuka , Akito Daido , Youichi Yanase

In flat-band superconductors, the electron pairing is strongly enhanced so that the critical temperature scales linearly with the interaction strength. Identifying the governing pairing mechanism in flat-band superconducting systems is…

Superconductivity · Physics 2026-03-19 Maximilian Buthenhoff , Yusuke Nishida

Characterizing the superconducting and superfluid transitions in two-dimensional (2D) many-body systems is of broad interest and remains a fundamental issue. In this study, we establish the {\it condensate fraction} as a highly effective…

Strongly Correlated Electrons · Physics 2025-05-26 Yuan-Yao He

We study finite-temperature properties of a two-dimensional superfluid made of ultracold alkali-metal atoms in the BCS-BEC crossover. We investigate the region below the critical temperature $T_{BKT}$ of the Berezinskii-Kosterlitz-Thouless…

Quantum Gases · Physics 2013-11-20 L. Salasnich , P. A. Marchetti , F. Toigo

We study superconductivity and superfluid weight of the two-dimensional $\alpha$-$\mathcal{T}_3$ lattice with on-site asymmetries, hosting an isolated quasi-flat band with tunable bandwidth via a parameter $\alpha$. Within a mean-field…

Superconductivity · Physics 2026-04-16 M. A. Mojarro , Sergio E. Ulloa

The ground state and transport properties of the Lieb lattice flat band in the presence of an attractive Hubbard interaction are considered. It is shown that the superfluid weight can be large even for an isolated and strictly flat band.…

Quantum Gases · Physics 2016-07-27 Aleksi Julku , Sebastiano Peotta , Tuomas Vanhala , Dong-Hee Kim , Päivi Törmä

The Berezinskii-Kosterlitz-Thouless (BKT) transition is expected to have a clear signature on the specific heat. The singularity at the transition temperature $T_{BKT}$ is predicted to be immeasurable, and a broad non-universal peak is…

Superconductivity · Physics 2020-01-22 T. D. Nguyen , A. Frydman , O. Bourgeois

In the search of high-temperature superconductivity one option is to focus on increasing the density of electronic states. Here we study both the normal and $s$-wave superconducting state properties of periodically strained graphene, which…

Superconductivity · Physics 2020-08-26 Teemu J. Peltonen , Tero T. Heikkilä

We study the superfluid weight $D^s$ and Berezinskii-Kosterlitz-Thouless (BKT) transition temperatures $T_{BKT}$ in case of exotic Fulde-Ferrell (FF) superfluid states in lattice systems. We consider spin-imbalanced systems with and without…

Quantum Gases · Physics 2018-08-21 Aleksi Julku , Long Liang , Päivi Törmä

In flat bands, superconductivity can lead to surprising transport effects. The superfluid "mobility", in the form of the superfluid weight $D_s$, does not draw from the curvature of the band but has a purely band-geometric origin. In a…

Superconductivity · Physics 2021-01-20 Valerio Peri , Zhida Song , B. Andrei Bernevig , Sebastian D. Huber

We theoretically investigate superfluidity in a strongly interacting Fermi gas confined to two dimensions at finite temperature. Using a Gaussian pair fluctuation theory in the superfluid phase, we calculate the superfluid density and…

Quantum Gases · Physics 2017-11-15 Brendan C. Mulkerin , Lianyi He , Paul Dyke , Chris J. Vale , Xia-Ji Liu , Hui Hu

A critical result in superconductivity is that flat bands, though dispersionless, can still host nonzero superfluid weight due to quantum geometry. We show that the derivation of the mean field superfluid weight in previous literature is…

The superfluid weight of an isolated flat band in multi-orbital superconductors contains contributions from the band's quantum metric and a lattice geometric term that depends on the orbital positions in the lattice. Since the superfluid…

Superconductivity · Physics 2025-04-15 Guodong Jiang , Yafis Barlas

Machine learning and high-throughput screening approaches to superconductor discovery require physically meaningful descriptors that capture essential physics while remaining computationally tractable. The superfluid weight is an ideal…

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