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Fractal Hofstadter bands have become widely accessible with the advent of moir\'e superlattices, opening the door to studies of the effect of interactions in these systems. In this work we employ a renormalization group (RG) analysis to…

Superconductivity · Physics 2022-12-20 Daniel Shaffer , Jian Wang , Luiz H. Santos

We study the superconducting order in a two-dimensional square lattice Hubbard model with weak repulsive interactions, subject to a Zeeman field and weak Rashba spin-orbit interactions. Diagonalizing the non-interacting Hamiltonian leads to…

Superconductivity · Physics 2018-01-26 Henning G. Hugdal , Asle Sudbø

Electrons on Kagome lattice exhibit a wealth of features including Dirac points, van Hove singularities and flatbands. When the Fermi level is placed at the van Hove saddle point, the Fermi surface is perfectly nested and a rich variety of…

Superconductivity · Physics 2025-04-17 Yuan Tian , Sergey Y. Savrasov

We study the interplay between on-site disorder and fermion pairing on the quasi one-dimensional flat band Creutz lattice. Both disorder and flat bands localize particles, but an attractive interaction results in pair formation and…

Superconductivity · Physics 2025-06-16 Si Min Chan , Benoît Grémaud , G. George Batrouni

We explore superconductivity in strongly interacting electrons on a decorated honeycomb lattice (DHL). An easy-plane ferromagnetic interaction arises from spin-orbit coupling in the Mott insulating phase, which favors a triplet resonance…

Superconductivity · Physics 2022-12-22 Manuel Fernández López , Ben J. Powell , Jaime Merino

We consider the Cooper-problem on a lattice model including onsite and near-neighbor interactions. Expanding the interaction in basis functions for the irreducible representation for the point group $C_{4v}$ yields a classification of the…

Superconductivity · Physics 2008-02-03 E. Otnes , A. Sudbø

Proposals for superconductivity emerging from correlated electrons in the doped Hubbard model on the honeycomb lattice range from chiral $d+id$ singlet to $p+ip$ triplet pairing, depending on the considered range of doping and interaction…

Strongly Correlated Electrons · Physics 2016-09-05 Xiao Yan Xu , Stefan Wessel , Zi Yang Meng

Several new classes of compounds can be modeled in first approximation by electrons on the triangular lattice that interact through on-site repulsion $U$ as well as nearest-neighbor repulsion $V$. This extended Hubbard model on a triangular…

Strongly Correlated Electrons · Physics 2009-11-13 B. Davoudi , S. R. Hassan , A. -M. S. Tremblay

We study superconductivity in an ultracold Bose-Fermi mixture loaded into a square optical lattice subjected to a staggered flux. While the bosons form a superfluid at very low temperature and weak interaction, the interacting fermions…

Quantum Gases · Physics 2010-07-15 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

We study the symmetry and the structure of the gap in Fe-based superconductors by decomposing the pairing interaction obtained in the RPA into s- and d-wave components and into contributions from scattering between different Fermi surfaces.…

Superconductivity · Physics 2011-10-03 S. Maiti , M. M. Korshunov , T. A. Maier , P. J. Hirschfeld , A. V. Chubukov

We introduce a new and general mechanism for superconductivity in Fermi systems with strong repulsive interaction. Because kinetic terms are small compared to the bare repulsion, the dynamic of charge carriers is constrained by the the…

Superconductivity · Physics 2022-07-22 Valentin Crépel , Liang Fu

Fermion systems with flat bands can boost superconductivity by enhancing the density of states at the Fermi level. We use quasiexact numerical methods to show that repulsive interactions between spinless fermions in a one-dimensional (1D)…

Strongly Correlated Electrons · Physics 2022-10-12 Iman Mahyaeh , Thomas Köhler , Annica M. Black-Schaffer , Adrian Kantian

The intraorbital repulsive Hubbard interaction cannot lead to attractive superconducting pairing states, except through the Kohn-Luttinger mechanism. This situation may change when we include additional local interactions such as the…

Superconductivity · Physics 2019-02-06 Alfred K. C. Cheung , D. F. Agterberg

We show that an interacting electronic system with a single ordinary or extended Van Hove point, which crosses the Fermi energy, is unstable against triplet superconductivity. The pairing mechanism is unconventional. There is no Cooper…

Superconductivity · Physics 2025-02-10 Risto Ojajärvi , Andrey V. Chubukov , Yueh-Chen Lee , Markus Garst , Jörg Schmalian

We study the quantum corrections to the Fermi energy of a two-dimensional electron system, showing that it is attracted towards the Van Hove singularity for a certain range of doping levels. The scaling of the Fermi level allows to cure the…

Strongly Correlated Electrons · Physics 2009-11-07 J. Gonzalez

The weak coupling instabilities of a two dimensional Fermi system are investigated for the case of a square lattice using a Wilson renormalization group scheme to one loop order. We focus on a situation where the Fermi surface passes…

Strongly Correlated Electrons · Physics 2009-11-07 B. Binz , D. Baeriswyl , B. Doucot

A microscopic theory of the electronic spectrum and of superconductivity within the t-J model on the honeycomb lattice is developed. We derive the equations for the normal and anomalous Green functions in terms of the Hubbard operators by…

Superconductivity · Physics 2019-07-24 A. A. Vladimirov , D. Ihle , N. M. Plakida

We analyze antiferromagnetism and superconductivity in novel Fe-based superconductors within the weak-coupling, itinerant model of electron and hole pockets near (0,0) and (\pi,\pi) in the folded Brillouin zone. We discuss the interaction…

Superconductivity · Physics 2015-05-13 A. V. Chubukov

Using the numerical unrestricted Hartree-Fock approach, we study the ground state of a two-orbital model describing newly discovered FeAs-based superconductors. We observe the competition of a $(0, \pi)$ mode spin-density wave and the…

Superconductivity · Physics 2015-05-13 Shuo Yang , Wen-Long You , Shi-Jian Gu , Hai-Qing Lin

We have rigorously shown that a strong Hubbard repulsion can cause superconductivity. The model, which has a particular set of local symmetries, manifests the phase diagram of many unconventional superconductors; anti-ferromagnetism…

Superconductivity · Physics 2019-04-16 Manjinder Kainth , M. W. Long