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The study of topological band insulators has revealed fascinating phases characterized by band topology indices and anomalous boundary modes protected by global symmetries. In strongly correlated systems, where the traditional notion of…

Strongly Correlated Electrons · Physics 2025-06-12 Chao Xu , Yixin Ma , Shenghan Jiang

We discover a new type of geometric phase of Dirac fermions in solids, which is an electronic analogue of the Pancharatnam phase of polarized light. The geometric phase occurs in a local and nonadiabatic scattering event of Dirac fermions…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 Sang-Jun Choi , Sunghun Park , H. -S. Sim

Binary bismuth chalcogenides Bi$_2$Se$_3$, Bi$_2$Te$_3$, and related materials are currently being extensively investigated as the reference topological insulators (TIs) due to their simple surface-state band dispersion (single Dirac cone)…

Materials Science · Physics 2016-06-21 Naunidh Virk , Oleg V. Yazyev

We study tunneling across a strain-induced superlattice in graphene. In studying the effect of applied strain on the low-lying Dirac-like spectrum, both a shift of the Dirac points in reciprocal space, and a deformation of the Dirac cones…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

We show that a planar array of bipolar waveguides in graphene can be used to engineer gapped and tilted two-dimensional Dirac cones within the electronic band structure. The presence of these gapped and tilted Dirac cones is demonstrated…

Mesoscale and Nanoscale Physics · Physics 2024-12-02 A. Wild , R. R. Hartmann , E. Mariani , M. E. Portnoi

Topological insulators (TIs) are a unique class of materials characterized by a surface (edge) Dirac cone state of helical Dirac fermions in the middle of bulk (surface) gap. When the thickness (width) of TIs is reduced, however,…

Materials Science · Physics 2013-01-24 Z. F. Wang , Meng-Yu Yao , Wenmei Ming , Lin Miao , Fengfeng Zhu , Canhua Liu , C. L. Gao , Dong Qian , Jin-Feng Jia , Feng Liu

We present a formalism to calculate the orbital magnetization of interacting Dirac fermions under a magnetic field. In this approach, the divergence difficulty is overcome with a special limit of the derivative of the thermodynamic…

Strongly Correlated Electrons · Physics 2017-09-05 Xin-Zhong Yan , C. S. Ting

The advent of Dirac materials has made it possible to realize two dimensional gases of relativistic fermions with unprecedented transport properties in condensed matter. Their photoconductive control with ultrafast light pulses is opening…

In this article, we propose a practical way to realize topological surface Dirac fermions with tunable attractive interaction between them. The approach involves coating the surface of a topological insulator with a thin film metal and…

Superconductivity · Physics 2025-05-08 Saran Vijayan , Fei Zhou

LaCuSb$_{2}$ is a superconductor with a transition temperature of about $T_\text{c} = 0.9$K and is a potential platform where Dirac fermions can be experimentally observed. In this paper, we report systematic high-resolution studies of its…

We give field theory descriptions of the time-reversal invariant quantum spin Hall insulator in 2+1 dimensions and the particle-hole symmetric insulator in 1+1 dimensions in terms of massive Dirac fermions. Integrating out the massive…

High Energy Physics - Theory · Physics 2018-11-27 Andreas Karch , Joseph Maciejko , Tadashi Takayanagi

Semimetals, in which conduction and valence bands touch but do not form Fermi surfaces, have attracted considerable interest for their anomalous properties starting with the discovery of Dirac matter in graphene and other two-dimensional…

Strongly Correlated Electrons · Physics 2018-09-11 Dennis Wawrzik , David Lindner , Maria Hermanns , Simon Trebst

We present a general approach to obtain effective field theories for topological crystalline insulators whose low-energy theories are described by massive Dirac fermions. We show that these phases are characterized by the responses to…

Strongly Correlated Electrons · Physics 2022-05-05 Sheng-Jie Huang , Chang-Tse Hsieh , Jiabin Yu

Topological insulators are transformative quantum solids with immune-to-disorder metallic surface states having Dirac band structure. Ubiquitous charged bulk defects, however, pull the Fermi energy into the bulk bands, denying access to…

We present microscopic Hamiltonians that gap the Dirac fermions on the surface of topological crystalline insulators (TCIs) protected by reflection symmetry and create symmetry-preserving states with Abelian topological orders. For TCIs…

Strongly Correlated Electrons · Physics 2017-07-11 Sungjoon Hong , Liang Fu

We propose a new band engineering scheme on the biphenylene network, a newly synthesized carbon allotrope. First, we investigate the mechanism for the appearance of type II Dirac fermion in a pristine biphenylene network. We show that the…

Strongly Correlated Electrons · Physics 2024-02-01 Seongjun Mo , Jaeuk Seo , Seok-Kyun Son , Sejoong Kim , Jun-Won Rhim , Hoonkyung Lee

Despite the broadband response, limited optical absorption at a particular wavelength hinders the development of optoelectronics based on Dirac fermions. Heterostructures of graphene and various semiconductors have been explored for this…

By numerically solving the effective continuous model of a topological insulator with parameters corresponding to the band structure of the topological insulator Bi2Se3 , we analyze possible appearance of one-dimensional states in various…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 N. I. Fedotov , S. V. Zaitsev-Zotov

We report on infrared (IR) nanoscopy of 2D plasmon excitations of Dirac fermions in graphene. This is achieved by confining mid-IR radiation at the apex of a nanoscale tip: an approach yielding two orders of magnitude increase in the value…

Starting from a three dimensional Hamiltonian, we study the optical properties of ultra-thin topological insulator slabs for which the coupling between Dirac fermions on opposite surfaces results in two degenerated gapped hyperbolic bands.…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Martha Lasia , Luis Brey