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At thermal equilibrium, we find that generalized susceptibilities encoding the static physical response properties of Hermitian many-electron systems possess inherent non-Hermitian (NH) matrix symmetries. This leads to the generic…

Strongly Correlated Electrons · Physics 2024-05-08 Matthias Reitner , Lorenzo Crippa , Dominik Robert Fus , Jan Carl Budich , Alessandro Toschi , Giorgio Sangiovanni

We show that the spin liquid phase of the half-filled Hubbard model on the triangular lattice can be described by a pure spin model. This is based on a high-order strong coupling expansion (up to order 12) using perturbative continuous…

Strongly Correlated Electrons · Physics 2011-01-17 H-Y. Yang , A. Laeuchli , F. Mila , K. P. Schmidt

Nematicity is a well known property of liquid crystals and has been recently discussed in the context of strongly interacting electrons. An electronic nematic phase has been seen by many experiments in certain strongly correlated materials,…

Strongly Correlated Electrons · Physics 2014-11-21 Kun Fang , G. W. Fernando , A. K. Kocharian

We have systematically studied superconducting instabilities in the repulsive Hubbard model for d-wave and p-wave pairing in various 2D and 3D lattices. Using fluctuation exchange approximation, we consider 3D face centered cubic lattice,…

Condensed Matter · Physics 2009-10-31 Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki

We study the spin-fluctuation-mediated superconducting pairing gap in a weak-coupling approach to the Hubbard model for a two dimensional square lattice in the paramagnetic state. Performing a comprehensive theoretical study of the phase…

Superconductivity · Physics 2015-09-10 A. T. Romer , A. Kreisel , I. Eremin , M. A. Malakhov , T. A. Maier , P. J. Hirschfeld , B. M. Andersen

Recent years have witnessed the emergence of spin supersolids in frustrated quantum magnets, establishing a material-based platform for supersolidity beyond its original context in solid helium. A spin supersolid is characterized by the…

Strongly Correlated Electrons · Physics 2026-05-26 Yixuan Huang , Seiji Yunoki , Sadamichi Maekawa

Strongly interacting fermionic atoms are shown to develop $\eta$-pairing superfluid correlations in a nonequilibrium steady state in the presence of spontaneous emission of light from atoms. On the basis of the Hubbard model subject to…

Quantum Gases · Physics 2021-03-26 Masaya Nakagawa , Naoto Tsuji , Norio Kawakami , Masahito Ueda

Spectral degeneracies (dubbed nodal points in momentum space) play fundamental roles in understanding exotic properties of light and matter. In lattice systems, unpaired band-structure degeneracies are subject to well-established no-go…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Kunkun Wang , J. Lukas K. König , Kang Yang , Lei Xiao , Wei Yi , Emil J. Bergholtz , Peng Xue

Recently, it has been shown that, in one dimensional fermionic systems, close to band edges, the zero temperature conductance scales as $1/N^2$, where $N$ is the system length. This universal subdiffusive scaling of conductance at band…

Mesoscale and Nanoscale Physics · Physics 2024-07-16 Madhumita Saha , Bijay Kumar Agarwalla , Manas Kulkarni , Archak Purkayastha

Non-Hermitian (NH) extension of quantum-mechanical Hamiltonians represents one of the most significant advancements in physics. During the past two decades, numerous captivating NH phenomena have been revealed and demonstrated, but all of…

Spin waves in the type-III ordered antiferromagnetic state of the frustrated $t$-$t'$ Hubbard model on the fcc lattice are calculated to investigate finite-$U$-induced competing interaction and frustration effects on magnetic excitations…

Strongly Correlated Electrons · Physics 2017-04-04 Avinash Singh , Shubhajyoti Mohapatra , Timothy Ziman , Tapan Chatterji

We have analyzed the symmetry properties and the ground state of an orbital Hubbard model with two orbital flavors, describing a partly filled spin-polarized $e_g$ band on a cubic lattice, as in ferromagnetic manganites. We demonstrate that…

Strongly Correlated Electrons · Physics 2007-06-13 Louis Felix Feiner , Andrzej M. Oles

Synthetic monopoles, which correspond to degeneracies of Hamiltonians, play a central role in understanding exotic topological phenomena. Dissipation-induced non-Herminicity (NH), extending the eigenspectra of Hamiltonians from the real to…

Quantum Physics · Physics 2026-04-29 Shou-Bang Yang , Pei-Rong Han , Wen Ning , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng

We study the spin and charge fluctuations of the extended Hubbard model (EHM) with on-site interaction U and first neighbor interaction V on the two-dimensional square lattice in the weak to intermediate coupling regime. We propose an…

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

We study the parity and time-reversal ($\mathcal{PT}$) symmetric quantum physics in a non-Hermitian non-relativistic hydrogen molecule with local (Hubbard type) Coulomb interaction. We consider non-Hermiticity generated from both kinetic…

Quantum Physics · Physics 2022-03-23 Himadri Barman , Suriyaa Valliapan

Exceptional points (EPs) are ubiquitous in non-hermitian systems, and represent the complex counterpart of critical points. By driving a system through a critical point at finite rate induces defects, described by the Kibble-Zurek…

Strongly Correlated Electrons · Physics 2019-05-22 Balázs Dóra , Markus Heyl , Roderich Moessner

We generalize the $\eta$-pairing theory in Hubbard models to the ones with spin-orbit coupling (SOC) and obtain the conditions under which the $\eta$-pairing operator is an eigenoperator of the Hamiltonian. The $\eta$ pairing thus reveals…

Strongly Correlated Electrons · Physics 2020-10-30 Kai Li

Non-Hermitian systems at the exceptional point (EP) degeneracy are demonstrated to be highly sensitive to environmental perturbation. Here, we propose and theoretically investigate a novel multilayered heterostructure favoring double EPs…

Optics · Physics 2019-03-21 Jieun Yim , Han Zhao , Bikashkali Midya , Liang Feng

In this paper we consider the simplified form that a recently introduced general operator description of the Hubbard model on the square lattice with $N_a^2\gg 1$ sites, effective transfer integral $t$, and onsite repulsion $U$ has in a…

Strongly Correlated Electrons · Physics 2010-06-14 J. P. Carmelo

We study a two-component Fermi system with attractive interactions and different populations of the two species in a cubic lattice. For an intermediate coupling we find a uniformly polarized superfluid which is stable down to very low…

Superconductivity · Physics 2008-12-08 Tung-Lam Dao , Michel Ferrero , Antoine Georges , Massimo Capone , Olivier Parcollet