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We investigate the Hubbard model on the honeycomb lattice with intrinsic spin orbit interactions as a paradigm for two-dimensional topological band insulators in the presence of interactions. Applying a combination of Hartree-Fock theory,…

Strongly Correlated Electrons · Physics 2015-03-13 Stephan Rachel , Karyn Le Hur

The quantization of conductance in the presence of non-magnetic point defects is a consequence of topological protection and the spin-momentum locking of helical edge states in two-dimensional topological insulators. This protection ensures…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Mohadese Karimi , Mohsen Amini , Morteza Soltani , Mozhgan Sadeghizadeh

Demonstrating superconductivity in purely repulsive Hubbard models is a compelling goal which underscores the counter-intuitive ability of Coulomb interactions to mediate superconductivity. Here, we present numerical evidence for robust…

Strongly Correlated Electrons · Physics 2025-09-04 Clemens Kuhlenkamp , Stefan Divic , Michael P. Zaletel , Tomohiro Soejima , Ashvin Vishwanath

We suggest a generalization of nonlinear $\sigma$-model for diffusive superconducting systems to account for magnetoelectric effects due to spin-orbit scattering. In the leading orders of spin-orbit strength and gradient expansion it…

Superconductivity · Physics 2021-09-02 P. Virtanen , F. S. Bergeret , I. V. Tokatly

We present a microscopic examination for the itinerant-localized duality model which has been proposed to understand anomalous properties of strongly correlated systems like the heavy fermions by Kuramoto and Miyake, and also useful to…

Strongly Correlated Electrons · Physics 2009-10-30 Yukihiro Okuno , Osamu Narikiyo , Kazumasa Miyake

Quantum Spin-Hall systems are topological insulators displaying dissipationless spin currents flowing at the edges of the samples. In contradistinction to the Quantum Hall systems where the charge conductance of the edge modes is quantized,…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Emil Prodan

Relativistic band theoretical calculations reveal that intrinsic spin Hall conductivity in hole-doped archetypical semiconductors Ge, GaAs and AlAs is large $[\sim 100 (\hbar/e)(\Omega cm)^{-1}]$, showing the possibility of spin Hall effect…

Materials Science · Physics 2009-11-11 G. Y. Guo , Yugui Yao , Qian Niu

The Drude weight of the Hubbard model on the two-dimensional square lattice is studied by the exact diagonalizations applied to clusters up to 20 sites. We carefully examine finite-size effects by consideration of the appropriate shapes of…

Strongly Correlated Electrons · Physics 2011-02-17 Hiroki Nakano , Yoshinori Takahashi , Masatoshi Imada

It is a conventional wisdom that the helical edge states of quantum spin Hall (QSH) insulator are particularly stable due to the topological protection of time-reversal symmetry. Here, we report the first experimental observation of an…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Huanhuan Yang , Lingling Song , Yunshan Cao , X. R. Wang , Peng Yan

Recent advances in moir\'e engineering motivate the study of lattice models of strongly-correlated electrons subjected to substantial orbital magnetic flux. We analyze the triangular lattice Hofstadter-Hubbard model at one-quarter flux…

Strongly Correlated Electrons · Physics 2026-03-31 Stefan Divic , Tomohiro Soejima , Valentin Crépel , Michael P. Zaletel , Andrew Millis

Non-equilibrium transport properties of charge and spin sector of two edges of a quantum spin Hall insulator are investigated theoretically in a four-terminal configuration. A simple duality relation between charge and spin sector is found…

Strongly Correlated Electrons · Physics 2015-05-19 Chao-Xing Liu , Jan Carl Budich , Patrik Recher , Bjoern Trauzettel

We study anisotropic superconductivity in the nearly quarter-filled $\alpha$-$\mathcal{T}_3$ lattice. We analyze an extended Hubbard model with off-site attractive interactions within the mean-field framework and find two distinct chiral…

Superconductivity · Physics 2026-04-03 Masataka Kakoi , Kazuhiko Kuroki

We consider a helical system of fermions with a generic spin (or pseudospin) orbit coupling. Using the equation of motion approach for the single-particle distribution functions, and a mean-field decoupling of the higher order distribution…

Strongly Correlated Electrons · Physics 2017-12-13 Moslem Mir , Saeed H. Abedinpour

Topological magnetic insulators host chiral gapless edge modes. In the presence of strong interaction effects, the spin of these modes may fractionalize. Studying a 2D array of coupled insulating spin-1/2 chains, we show how spatially…

Strongly Correlated Electrons · Physics 2025-01-03 Even Thingstad , Pierre Fromholz , Flavio Ronetti , Daniel Loss , Jelena Klinovaja

Reversible spin Hall effect comprising the "direct" and "inverse" spin Hall effects was successfully detected at room temperature. This experimental demonstration proves the fundamental relations called Onsager reciprocal relations between…

Materials Science · Physics 2015-06-25 T. Kimura , Y. Otani , T. Sato , S. Takahashi , S. Maekawa

In contrast to the case of ordinary quantum Hall effect, the resistance of ballistic helical edge channels in typical quantum spin-Hall experiments is non-vanishing, additive and poorly quantized. Here we present a simple argument…

Mesoscale and Nanoscale Physics · Physics 2019-01-21 S. K. Konyzheva , E. S. Tikhonov , V. S. Khrapai

The effect of thermal fluctuation on the spin-chirality-induced anomalous Hall effect in itinerant magnets is theoretically studied. Considering a triangular-lattice model as an example, we find that a multiple-spin scattering induced by…

Strongly Correlated Electrons · Physics 2019-09-04 Yasuyuki Kato , Hiroaki Ishizuka

We study electron and spin transport in interacting quantum wires contacted by noninteracting leads. We theoretically model the wire and junctions as an inhomogeneous chain where the parameters at the junction change on the scale of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Denis Morath , Nicholas Sedlmayr , Jesko Sirker , Sebastian Eggert

We study, within the fluctuation exchange approximation, the spin-fluctuation-mediated superconductivity in Hubbard-type models possessing electron and hole bands, and compare them with a model on a square lattice with a large Fermi…

Superconductivity · Physics 2017-06-28 Masahiro Nakata , Daisuke Ogura , Hidetomo Usui , Kazuhiko Kuroki

We study the DC spin current induced into an unbiased quantum spin Hall system through a two-point contacts setup with time dependent electron tunneling amplitudes. By means of two external gates, it is possible to drive a current with…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Dario Ferraro , Giacomo Dolcetto , Roberta Citro , Francesco Romeo , Maura Sassetti
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