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We obtain improved local well-posedness results for the Lorentzian timelike minimal surface equation. In dimension $d=3$, for a surface of arbitrary co-dimension, we show a gain of $1/3$ derivative regularity compared to a generic equation…

Analysis of PDEs · Mathematics 2025-04-03 Georgios Moschidis , Igor Rodnianski

In this work we study the two-orbital Hubbard model on a square lattice in the presence of hybridization between nearest-neighbor orbitals and a crystal-field splitting. We use a highly reliable numerical technique based on the density…

Strongly Correlated Electrons · Physics 2021-01-15 Y. Nunez-Fernandez , K. Hallberg

We study the 1D extended Hubbard model with a weak repulsive short-range interaction in the non-half-filled band case, using non-perturbative Renormalization Group methods and Ward Identities. At the critical temperature, T = 0, the…

Mathematical Physics · Physics 2011-06-03 Giuseppe Benfatto , Pierluigi Falco , Vieri Mastropietro

One of the standard approaches of incorporating the quantum gravity (QG) effects into the semiclassical analysis is to adopt the notion of a quantum-corrected spacetime arising from the QG model. This procedure assumes that the expectation…

General Relativity and Quantum Cosmology · Physics 2023-12-29 Harkirat Singh Sahota , Kinjalk Lochan

Quasiparticle bands of the two-dimensional Hubbard model are calculated using the Roth two-pole approximation to the one particle Green's function. Excellent agreement is obtained with recent Monte Carlo calculations, including an anomalous…

Condensed Matter · Physics 2016-08-31 J. Beenen , D. M. Edwards

A refined variational wave function for the two-dimensional repulsive Hubbard model is studied numerically, with the aim of approaching the difficult crossover regime of intermediate values of U. The issue of a superconducting ground state…

Strongly Correlated Electrons · Physics 2015-06-25 D. Baeriswyl , D. Eichenberger , B. Gut

We first apply functional-integral approach to a multiband Hubbard model near the critical pairing temperature, and derive a generic effective action that is quartic in the fluctuations of the pairing order parameter. Then we consider…

Superconductivity · Physics 2023-06-13 M. Iskin

According to Anderson's theorem, the gap of a time-reversal symmetric weak-coupling superconductor is unaffected by non-magnetic disorder. However, the superfluid weight (stiffness) is reduced in the disordered limit by a factor of $\Delta…

Superconductivity · Physics 2025-10-08 Kryštof Kolář , Tero T. Heikkilä , Päivi Törmä

Gauging a finite subgroup of a global symmetry can map conventional phases and phase transitions to unconventional ones. In this work, we study, as a concrete example, an emergent $\mathbb{Z}_2$-gauged system with global symmetry $U(1)$,…

Strongly Correlated Electrons · Physics 2024-06-06 Lei Su , Meng Zeng

Spin-orbit-coupled two-dimensional electron gases (2DEGs) are a textbook example of helical Fermi liquids, i.e. quantum liquids in which spin (or pseudospin) and momentum degrees-of-freedom at the Fermi surface have a well-defined…

Mesoscale and Nanoscale Physics · Physics 2011-04-19 Amit Agarwal , Stefano Chesi , T. Jungwirth , Jairo Sinova , G. Vignale , Marco Polini

The quasiclassically exact solution for the second inertial parameter $\cal B$ is found in self-consistent way. It is shown that superdeformation and nonuniform pairing arising from the rotation induced pair density significantly reduce…

Nuclear Theory · Physics 2009-11-06 Igor Pavlichenkov

We consider two-body bound states in a flat band of a multiband system. The existence of pair dispersion predicts the possibility of breaking the degeneracy of the band and creating order, such as superconductivity. Within a separable…

Superconductivity · Physics 2019-01-02 Paivi Torma , Long Liang , Sebastiano Peotta

Even in non-interacting limit, electrons on different Bloch bands of a multiband system do not move as if they are oblivious to the presence of one another. Instead, they move in concert by virtue of a non-Abelian interband Berry…

Superconductivity · Physics 2025-04-23 Yi-Jian Hu , Wen Huang

A flat band is nondispersive and formed under destructive interference. Although flat bands are found in various Hermitian systems, to realize a flat band in non-Hermitian systems is an interesting task. Here, we propose a flat band in a…

Quantum Physics · Physics 2019-03-07 L. Jin

The existence of a paradoxical supersolid phase of matter, possessing the apparently incompatible properties of crystalline order and superfluidity, was predicted 50 years ago. Solid helium was the natural candidate, but there supersolidity…

We study the pairing and superconducting properties of the attractive Hubbard model in two quasi one-dimensional topological lattices: the Creutz and sawtooth lattices. They share two peculiar properties: each of their band structures…

Superconductivity · Physics 2022-01-11 Si Min Chan , B. Grémaud , G. G. Batrouni

Properties of bosonic atoms in small systems with a periodic quasi one-dimensional circular toroidal lattice potential subjected to rotation are examined by performing exact diagonalization in a truncated many body space. The expansion of…

Quantum Gases · Physics 2015-06-12 Fernanda Pinheiro , A. F. R. de Toledo Piza

We develop a symmetry indicator framework to efficiently predict the topology of superlattice-induced minibands with spin-orbit coupling. Our algorithm requires input only from the parent material before the superlattice is applied. The…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 M. Nabil Y. Lhachemi , Valentin Crépel , Jennifer Cano

Supersolids are theoretically predicted quantum states that break the continuous rotational and translational symmetries of liquids while preserving superfluid transport properties. Over the last decade, much progress has been made in…

Quantum Gases · Physics 2019-07-03 Vili Heinonen , Keaton J. Burns , Jörn Dunkel

Salmhofer [Commun. Math. Phys. 194, 249 (1998)] has recently developed a new renormalization group method for interacting Fermi systems, where the complete flow from the bare action of a microscopic model to the effective low-energy action,…

Strongly Correlated Electrons · Physics 2009-10-31 Christoph J. Halboth , Walter Metzner
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