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Whether spin-independent Coulomb interaction in an electron system can be the origin of ferromagnetism has been an open problem for a long time. Recently, a "constructive" approach to this problem has been developed, and the existence of…

Strongly Correlated Electrons · Physics 2019-01-11 Hal Tasaki

By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 V. P. Gusynin , V. A. Miransky , S. G. Sharapov , I. A. Shovkovy , C. M. Wyenberg

There is a recent upsurge of interests in flat bands in condensed-matter systems and the consequences for magnetism and superconductivity. This article highlights the physics, where peculiar quantum-mechanical mechanisms for the physical…

Superconductivity · Physics 2025-10-23 Hideo Aoki

The ferromagnetism of Au nanograins is analysed based on a two-dimensional itinerant lattice model with on-site Coulomb repulsion, many-body spin-orbit interactions, and holding two hybridized bands, one correlated and one uncorrelated.…

Strongly Correlated Electrons · Physics 2022-02-15 Nóra Kucska , Zsolt Gulacsi

This is a self-contained review about ferromagnetism in the Hubbard model, which should be accessible to readers with various backgrounds who are new to the field. We describe Nagaoka's ferromagnetism and flat-band ferromagnetism in detail,…

Strongly Correlated Electrons · Physics 2009-10-30 Hal Tasaki

We have examined a Hubbard model on a chain of squares, which was proposed by Yajima et al as a model of an atomic quantum wire As/Si(100), to show that the flat-band ferromagnetism according to a kind of Mielke-Tasaki mechanism should be…

Condensed Matter · Physics 2009-10-31 R. Arita , K. Kuroki , H. Aoki , A. Yajima , M. Tsukada , S. Watanabe , M. Ichimura , T. Onogi , T. Hashizume

Recent discovery of correlated electronic phases in twisted heterostructures raised a surge of interests in studying models and materials with flat bands where the electronic excitations are nearly dispersionless in momentum space. As such,…

Strongly Correlated Electrons · Physics 2024-03-15 Leyla Majidi , Abolhassan Vaezi , Mehdi Kargarian

In the band theory of ferromagnetism there is a relative shift in the position of majority and minority spin bands due to the self-consistent field due to opposite spin electrons. In the simplest realization, the Stoner model, the majority…

Strongly Correlated Electrons · Physics 2009-10-31 J. E. Hirsch

We systematically study magnetic correlations in graphene within Hubbard model on a honeycomb lattice by using quantum Monte Carlo simulations. In the filling region below the Van Hove singularity, the system shows a short-range…

Materials Science · Physics 2010-09-16 Tianxing Ma , Feiming Hu , Zhongbing Huang , Hai-Qing Lin

Antiferromagnetism in stacked nanographite is investigated with using the Hubbard-type models. The A-B stacking or the stacking near to that of A-B type is favorable for the hexagonal nanographite with zigzag edges, in order that magnetism…

Materials Science · Physics 2016-08-31 Kikuo Harigaya , Toshiaki Enoki

The microscopic basis for the stability of itinerant ferromagnetism in correlated electron systems is examined. To this end several routes to ferromagnetism are explored, using both rigorous methods valid in arbitrary spatial dimensions, as…

Strongly Correlated Electrons · Physics 2009-10-30 D. Vollhardt , N. Blümer , K. Held , M. Kollar , J. Schlipf , M. Ulmke

New insights into the microscopic origin of itinerant ferromagnetism were recently gained from investigations of electronic lattice models within dynamical mean-field theory (DMFT). In particular, it is now established that even in the…

Strongly Correlated Electrons · Physics 2007-05-23 D. Vollhardt , N. Blümer , K. Held , M. Kollar

We investigate two-component ultracold fermions loaded into a decorated square lattice, which are described by the Hubbard model with repulsive interactions and nearest neighbor hoppings. By combining the real-space dynamical mean-field…

Quantum Gases · Physics 2015-05-18 Kazuto Noda , Akihisa Koga , Norio Kawakami , Thomas Pruschke

We investigate the edge-state magnetism of graphene nanoribbons using projective quantum Monte Carlo simulations and a self-consistent mean-field approximation of the Hubbard model. The static magnetic correlations are found to be short…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 Hélène Feldner , Zi Yang Meng , Thomas C. Lang , Fakher F. Assaad , Stefan Wessel , Andreas Honecker

Since graphene nanoribbons are thin and flimsy, they need support. Support gives firm ground for applications, and adhesion holds ribbons flat, although not necessarily straight: ribbons with high aspect ratio are prone to bend. The effects…

Mesoscale and Nanoscale Physics · Physics 2012-05-18 Pekka Koskinen

We introduce and study two classes of Hubbard models with magnetic flux or with spin-orbit coupling, which have a flat lowest band separated from other bands by a nonzero gap. We study the Chern number of the flat bands, and find that it is…

Strongly Correlated Electrons · Physics 2011-05-17 Hosho Katsura , Isao Maruyama , Akinori Tanaka , Hal Tasaki

We make an attempt at unveiling the thermodynamic "signature" of a specific class of electronic systems, the so called nearly-flat-band paramagnets and ferromagnets that can theoretically be described by appropriate versions of the Hubbard…

Strongly Correlated Electrons · Physics 2010-04-19 Volodymyr Derzhko , Janusz Jedrzejewski

Graphene based nanostructures exhibit flat electronic energy bands in their single-particle spectrum. We consider interacting electrons in flat bands of zig-zag nanoribbons. We present a protocol for flat-band projection that yields…

Strongly Correlated Electrons · Physics 2012-03-02 Hao Wang , V. W. Scarola

The magnetic phase diagram of a ground state is studied theoretically for graphene nanoflakes of bow-tie shape and various size in external in-plane magnetic field. The tight-binding Hamiltonian supplemented with Hubbard term is used to…

Mesoscale and Nanoscale Physics · Physics 2013-12-30 Karol Szałowski

Nanographite systems, where graphene sheets of the orders of the nanometer size are stacked, show novel magnetic properties, such as, spin-glass like behaviors, and the change of ESR line widths while gas adsorptions. Recently, it has been…

Soft Condensed Matter · Physics 2016-08-31 Kikuo Harigaya , Naoki Kawatsu , Toshiaki Enoki