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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…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 W. Beugeling , N. Goldman , C. Morais Smith

We treat elementary excitations, the spin-liquid state, and the anomalous Hall effect (including the quantum one in purely 2D situation) in layered highly correlated systems. The mechanisms of the formation of a topological state associated…

Strongly Correlated Electrons · Physics 2022-03-02 V. Yu. Irkhin , Yu. N. Skryabin

We study the tunable quantum Hall effects in a non-Abelian honeycomb optical lattice which is a many-Dirac-points system. We find that the quantum Hall effects present different features as change as relative strengths of several…

Strongly Correlated Electrons · Physics 2015-12-21 Ling Li , Ningning Hao , Guocai Liu , Zhiming Bai , Zai-Dong Li , Shu Chen , Wu-Ming Liu

We experimentally realize a photonic analogue of the anomalous quantum Hall insulator using a two-dimensional (2D) array of coupled ring resonators. Similar to the Haldane model, our 2D array is translation invariant, has zero net gauge…

Two-dimensional electron systems with spin-orbit coupling in the proximity of a superconductor and a magnetic insulator have recently been considered as promising candidates to realize topological superconducting phases. Here we discuss…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Teemu Ojanen , Takuya Kitagawa

Exciton-polariton lattices allow to implement topologically protected photonic edge states at optical frequencies. Taking advantage of the interacting character of polaritons, we show that several topological phases, belonging to the…

Mesoscale and Nanoscale Physics · Physics 2016-06-24 O. Bleu , D. D. Solnyshkov , G. Malpuech

In this paper we investigate the occurrence of quantum phase transitions in topological systems out of equi- librium. More specifically, we consider graphene with a sizable spin-orbit coupling, irradiated by circularly- polarized light. In…

Mesoscale and Nanoscale Physics · Physics 2014-12-16 Anton Quelle , Cristiane Morais Smith

We investigate the AC electric field induced quantum anomalous Hall effect in honeycomb lattices and derive the full phase diagram for arbitrary field amplitude and phase polarization. We show how to induce anti-chiral edge modes as well as…

Mesoscale and Nanoscale Physics · Physics 2014-05-08 Álvaro Gómez-León , Pierre Delplace , Gloria Platero

Photonic topological phases offering unprecedented manipulation of electromagnetic waves have attracted much research interest which, however, have been mostly restricted to a single band gap. Here, we report on the experimental discovery…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Yanan Wang , Hai-Xiao Wang , Li Liang , Longzhen Fan , Zhi-Kang Lin , Feifei Li , Xiao Zhang , Pi-Gang Luan , Yin Poo , Jian-Hua Jiang , Guang-Yu Guo

Mirror symmetric surfaces of a topological crystalline insulator host even number of Dirac surface states. A surface Zeeman field generically gaps these states leading to a quantized anomalous Hall effect. Varying the direction of Zeeman…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Fan Zhang , Xiao Li , Ji Feng , C. L. Kane , E. J. Mele

We investigate the nonequilibrium dynamics of the spinless Haldane model with nearest-neighbor interactions on the honeycomb lattice by employing an unbiased numerical method. In this system, a first-order transition from the Chern…

Strongly Correlated Electrons · Physics 2021-09-29 Can Shao , P. D. Sacramento , Rubem Mondaini

In this work, we propose an exactly solvable two-dimensional lattice model of strongly correlated electrons that realizes a quantum anomalous Hall insulator with Chern number $\mathcal{C}=1$. First, we show that the interplay of ionic…

Strongly Correlated Electrons · Physics 2023-07-13 Marcin M. Wysokiński , Wojciech Brzezicki

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…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 N. Goldman , W. Beugeling , C. Morais Smith

In this paper, we study topological properties and Hall conductivities in PbC/MnSe heterostructure under the illumination of a circularly polarized light. At high frequency regime, energy gap, Chern numbers, and Hall conductivities are…

Mesoscale and Nanoscale Physics · Physics 2020-03-05 L. Chen

We experimentally demonstrate topological edge states arising from the valley-Hall effect in twodimensional honeycomb photonic lattices with broken inversion symmetry. We break inversion symmetry by detuning the refractive indices of the…

Optics · Physics 2018-02-12 Jiho Noh , Sheng Huang , Kevin Chen , Mikael C. Rechtsman

Band topology and related spin (or pseudo-spin) physics of photons provide us with a new dimension for manipulating light, which is potentially useful for information communication and data storage. Especially, the quantum spin Hall effect…

Materials Science · Physics 2020-03-03 Biye Xie , Guangxu Su , Hong-Fei Wang , Feng Liu , Lumang Hu , Si-Yuan Yu , Peng Zhan , Ming-Hui Lu , Zhenlin Wang , Yan-Feng Chen

A new class of phenomena stemming from topological states of quantum matter has recently found a variety of analogies in classical systems. Spin-locking and one-way propagation have been shown to drastically alter our view on scattering of…

The higher-order corner modes for quantum anomalous Hall insulators in $C_3$ symmetry broken honeycomb lattice have been engineered recently. Here we consider an extended Haldane model in presence of inversion symmetry breaking sub-lattice…

Mesoscale and Nanoscale Physics · Physics 2023-06-05 Sudarshan Saha , Tanay Nag , Saptarshi Mandal

Photonic structures offer unique opportunities for controlling light-matter interaction, including the photonic spin Hall effect associated with the transverse spin-dependent displacement of light that propagates in specially designed…

Mesoscale and Nanoscale Physics · Physics 2016-01-21 A. P. Slobozhanyuk , A. N. Poddubny , I. S. Sinev , A. K. Samusev , Y. F. Yu , A. I. Kuznetsov , A. E. Miroshnichenko , Yu. S. Kivshar

We study the zero-temperature phase diagram and fractional excitation when a thin film of 3D topological insulator has two competing masses: T- symmetric exciton condensation and T- breaking Zeeman effect. Two topologically distinct phases…

Strongly Correlated Electrons · Physics 2013-05-29 Gil Young Cho , Joel E. Moore
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