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Using Cluster Perturbation Theory we calculate Green's functions, quasi-particle energies and topological invariants for interacting electrons on a 2-D honeycomb lattice, with intrinsic spin-orbit coupling and on-site e-e interaction. This…

强关联电子 · 物理学 2015-02-03 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni , A. Bonini

We construct a minimal four-band model for the two-dimensional (2D) topological insulators and quantum anomalous Hall insulators based on the $p_x$- and $p_y$-orbital bands in the honeycomb lattice. The multiorbital structure allows the…

介观与纳米尺度物理 · 物理学 2014-08-12 Gu-Feng Zhang , Yi Li , Congjun Wu

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,…

强关联电子 · 物理学 2015-03-13 Stephan Rachel , Karyn Le Hur

Effects of electron many-body interactions amplify in an electronic system with a narrow bandwidth opening a way to exotic physics. A narrow band in a two-dimensional (2D) honeycomb lattice is particularly intriguing as combined with Dirac…

We examine the combined effects of a Kekule coupling texture (KC) and a Dzyaloshinskii-Moriya interaction (DMI) in a two-dimensional ferromagnetic honeycomb lattice. By analyzing the gap closing conditions and the inversions of the bulk…

介观与纳米尺度物理 · 物理学 2019-01-18 Pierre A. Pantaleon , Ramon Carrillo-Bastos , Y. Xian

Magnetic and thermodynamical properties of a system of spins in a honeycomb lattice, such as magnetization, magnetic susceptibility and specific heat, in a low-temperature regime are investigated by considering the effects of a Kekul\'e…

介观与纳米尺度物理 · 物理学 2017-05-25 Ricardo S. Martins , Elena Konstantinova , Humberto Belich , José A. Helayël-Neto

The spin Hall effect is investigated in a two-orbital tight-binding model on a honeycomb lattice. We show that the model exhibits three topologically-different insulating phases at half filling, which are distinguished by different…

强关联电子 · 物理学 2015-04-15 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

We study the Kane-Mele-Hubbard model with an additional inversion-symmetry-breaking term. Using the topological Hamiltonian approach, we calculate the $\mathbb{Z}_2$ invariant of the system as function of spin-orbit coupling, Hubbard…

强关联电子 · 物理学 2016-12-14 Robert Triebl , Markus Aichhorn

We provide a self-consistent mean-field framework to study the effect of strong interactions in a quantum spin Hall insulator on the honeycomb lattice. We identify an exotic phase for large spin-orbit coupling and intermediate Hubbard…

强关联电子 · 物理学 2012-01-26 Andreas Rüegg , Gregory A. Fiete

Research on graphene has revealed remarkable phenomena arising in the honeycomb lattice. However, the quantum spin Hall effect predicted at the K point could not be observed in graphene and other honeycomb structures of light elements due…

介观与纳米尺度物理 · 物理学 2015-03-23 W. Beugeling , E. Kalesaki , C. Delerue , Y. -M. Niquet , D. Vanmaekelbergh , C. Morais Smith

We study roles of electron correlations on topological insulators on the honeycomb lattice with the spin-orbit interaction. Accurate variational Monte Carlo calculations show that the increasing on-site Coulomb interactions cause a strong…

强关联电子 · 物理学 2011-05-24 Youhei Yamaji , Masatoshi Imada

We investigate how the spectral and topological properties of electron systems evolve on a lattice that interpolates between the honeycomb and its 1/6-depleted structures through the introduction of selective random defects. We find that in…

无序系统与神经网络 · 物理学 2026-04-14 Sogen Ikegami , Kiyu Fukui , Shun Okumura , Yasuyuki Kato , Yukitoshi Motome

We show that the decorated honeycomb lattice supports a number of topological insulating phases with a non-trivial Z_2 invariant and time-reversal symmetry protected gapless edge modes. We investigate the stability of these phases with…

介观与纳米尺度物理 · 物理学 2010-05-20 Andreas Rüegg , Jun Wen , Gregory A. Fiete

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

介观与纳米尺度物理 · 物理学 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

We consider the combined effects of large spin-orbit couplings and a perpendicular magnetic field in a 2D honeycomb fermionic lattice. This system provides an elegant setup to generate versatile spin textures propagating along the edge of a…

介观与纳米尺度物理 · 物理学 2012-01-20 N. Goldman , W. Beugeling , C. Morais Smith

We consider the Kane-Mele-Hubbard model with a magnetic $\pi$ flux threading each honeycomb plaquette. The resulting model has remarkably rich physical properties. In each spin sector, the noninteracting band structure is characterized by a…

强关联电子 · 物理学 2014-08-26 Martin Bercx , Martin Hohenadler , Fakher F. Assaad

We study a generic two-dimensional hopping model on a honeycomb lattice with strong spin-orbit coupling, without the requirement that the half-filled lattice be a Topological Insulator. For quarter-(or three-quarter) filling, we show that a…

介观与纳米尺度物理 · 物理学 2015-05-30 Ganpathy Murthy , Efrat Shimshoni , R. Shankar , Herbert A. Fertig

We propose a family of modulated honeycomb lattices, a class of quasiperiodic tilings characterized by the metallic mean. These lattices consist of six distinct hexagonal prototiles with two edge lengths, $\ell$ and $s$, and can be regarded…

强关联电子 · 物理学 2025-09-23 Akihisa Koga , Toranosuke Matsubara

In this work, we explore the rich variety of topological states that arise in two-dimensional systems, by considering the competing effects of spin-orbit couplings and a perpendicular magnetic field on a honeycomb lattice. Unlike earlier…

介观与纳米尺度物理 · 物理学 2012-08-21 W. Beugeling , N. Goldman , C. Morais Smith

We investigate the interplay between spin-orbit coupling and electron-electron interactions on the honeycomb lattice combining the cellular dynamical mean-field theory and its real space extension with analytical approaches. We provide a…

强关联电子 · 物理学 2015-05-28 Wei Wu , Stephan Rachel , Wu-Ming Liu , Karyn Le Hur
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