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Based on the Keldysh formalism, we derive an effective Boltzmann equation for a quasi-particle associated with a particular Fermi surface in an interacting Fermi liquid. This provides a many-body derivation of Berry curvatures in electron…

Strongly Correlated Electrons · Physics 2009-11-11 Ryuichi Shindou , Leon Balents

The behavior of strongly interacting electrons in bands with Berry curvature is a problem of wide interest. In this paper, we study this problem by numerically studying a fluxed Hubbard-type model on square lattice. Using this model, we…

Strongly Correlated Electrons · Physics 2025-03-04 Shuai Yang , Zhiyu Dong , Yan Chen

We theoretically investigate how the Berry curvature, which arises in multi-band structures when the electrons can be described by an effective single-band Hamiltonian, affects the superconducting properties of two-dimensional electronic…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Florian Simon , Louis Pagot , Marc Gabay , Mark O. Goerbig

We propose two thermo-spintronic responses in proximity induced superconductors with spin-orbit coupled band - spin Nernst effect and thermal Edelstein effect stemming respectively from momentum-space and mixed superconducting Berry…

Superconductivity · Physics 2025-08-25 Zhen-Cheng Liao , Cong Xiao , Zhi Wang , Qian Niu

The nature and mechanism of superconductivity in the extremely electron-doped FeSe based superconductors continues to be a matter of debate. In these systems, the hole-like band has moved below the Fermi energy, and various spin-fluctuation…

Superconductivity · Physics 2019-04-24 Thomas A. Maier , Vivek Mishra , Douglas J. Scalapino

We present a model for interacting electrons in a continuum band structure that resembles a ``trashcan'', with a flat bottom of radius $k_b$ beyond which the dispersion increases rapidly with velocity $v$. The form factors of the Bloch…

Strongly Correlated Electrons · Physics 2025-03-14 B. Andrei Bernevig , Yves H. Kwan

Twisted bilayer graphene (tBLG) has recently emerged as a new platform for studying electron correlations, the strength of which can be controlled via the twist angle. Here, we study the effect of internal screening on electron-electron…

Strongly Correlated Electrons · Physics 2019-12-18 Zachary A. H. Goodwin , Fabiano Corsetti , Arash A. Mostofi , Johannes Lischner

Conventional and unconventional superconductivity, respectively, arise from attractive (electron-phonon) and repulsive (many-body Coulomb) interactions with fixed-sign and sign-reversal pairing symmetries. Although heavy-fermions, cuprates,…

Superconductivity · Physics 2019-12-11 Priyo Adhikary , Tanmoy Das

Geometric phases in condensed matter play a central role in topological transport phenomena such as the quantum, spin and anomalous Hall effect (AHE). In contrast to the quantum Hall effect - which is characterized by a topological…

The recently introduced concept of "surface Berry plasmons" is studied in the concrete instance of a ferromagnetic conductor in which the Berry curvature, generated by spin-orbit (SO) interaction, has opposite signs for carriers parallel or…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Steven S. -L. Zhang , Giovanni Vignale

Recent experiments in rhombohedrally-stacked multilayer graphene heterostructures have reported signatures of chiral superconductivity, emerging from a spin and valley-polarized normal state with broken time-reversal symmetry and an…

Superconductivity · Physics 2025-12-08 Adarsh S. Patri , Marcel Franz

Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry…

Quantum Gases · Physics 2016-05-31 N. Fläschner , B. S. Rem , M. Tarnowski , D. Vogel , D. -S. Lühmann , K. Sengstock , C. Weitenberg

Two-dimensional van der Waals heterostructures can be engineered into artificial superlattices that host flat bands with significant Berry curvature and provide a favorable environment for the emergence of novel electron dynamics. In…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Vo Tien Phong , E. J. Mele

Two electrons in a quantum dot repel each other: their interaction can be characterized by a positive interaction energy. From the theory of superconductivity, we also know that mechanical vibrations of the crystal lattice can make the…

Mesoscale and Nanoscale Physics · Physics 2017-12-11 Gábor Széchenyi , András Pályi , Matthias Droth

The Berry curvature, resembling the magnetic field in reciprocal space, offers a captivating avenue for exploring unique electromagnetic phenomena devoid of real-space analogs. Here, we investigate the emergent electromagnetic induction by…

Mesoscale and Nanoscale Physics · Physics 2023-12-01 Wei Luo , Wei Chen , D. Y. Xing

The effective attractive interaction between electrons, mediated by electron-phonon coupling, is a well-established mechanism of conventional superconductivity. In metals exhibiting a Fermi surface, the critical temperature of…

Superconductivity · Physics 2018-12-03 R. Ojajärvi , T. Hyart , M. Silaev , T. T. Heikkilä

It has been recently established that optoelectronic and non-linear transport experiments can give direct access to the dipole moment of the Berry curvature in non-magnetic and non-centrosymmetric materials. Thus far, non-vanishing Berry…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Raffaele Battilomo , Niccolo' Scopigno , Carmine Ortix

We study a gas of strongly polarized cold fermions in an optical lattice when the excited p-bands are populated. We derive the relevant Hamiltonian and discuss the expected phase diagram for both repulsive and attractive interactions. In…

Statistical Mechanics · Physics 2009-11-13 J. -P. Martikainen , E. Lundh , T. Paananen

The electromagnetic field of standing-wave or ring cavities induces a spatially modulated, infinite-range interaction between atoms in an ultracold Fermi gas, with a single wavelength comparable to the Fermi length. This interaction has no…

Quantum Gases · Physics 2026-05-04 Bernhard Frank , Michele Pini , Johannes Lang , Francesco Piazza

Motivated by recent interest in chiral superconductivity in narrow bands, we develop a general framework to clarify how band topology and quantum geometry affect superconducting pairing and connect to the two-body problem. Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Daniil Karuzin , Zhiyu Dong , Leonid Levitov
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