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Topological phases arise from the elegant mathematical structures imposed by the interplay between symmetry and topology1-5. From gapped topological insulators to gapless semimetals, topological materials in both quantum and classical…

A sufficiently strong long-range Coulomb interaction can induce excitonic pairing in gapless Dirac semimetals, which generates a finite gap and drives semimetal-insulator quantum phase transition. This phenomenon is in close analogy to…

Strongly Correlated Electrons · Physics 2017-02-20 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

Lately, the three-dimensional (3D) Dirac semimetal, which possesses 3D linear dispersion in electronic structure as a bulk analogue of graphene, has generated widespread interests in both material science and condensed matter physics. Very…

Superconductivity · Physics 2015-12-31 He Wang , Huichao Wang , Haiwen Liu , Hong Lu , Wuhao Yang , Shuang Jia , Xiong-Jun Liu , X. C. Xie , Jian Wei , Jian Wang

We study the excitonic semimetal-insulator quantum phase transition in three-dimensional Dirac semimetal in which the fermion dispersion is strongly anisotropic. After solving the Dyson-Schwinger equation for the excitonic gap, we obtain a…

Strongly Correlated Electrons · Physics 2018-04-23 Hai-Xiao Xiao , Jing-Rong Wang , Guo-Zhu Liu , Hong-Shi Zong

Exciton condensation, characterized by uniform phase coherence across macroscopic length scales, has enabled the discovery of a variety of excitonic states, greatly enriching our understanding of correlated many-body physics. More exotic…

Strongly Correlated Electrons · Physics 2026-03-31 Deguang Wu , Yiran Xue , Baigeng Wang , Rui Wang , D. Y. Xing

We investigate two-dimensional Dirac fermions embedded in a deep-subwavelength cavity formed by high-impedance metasurfaces. We point out that, unlike conventional metallic boundaries, these metasurfaces support quasielectrostatic…

Strongly Correlated Electrons · Physics 2026-05-21 Yuxuan Guo , Yuto Ashida

The recently discovered Dirac and Weyl semimetals are new members of topological materials. Starting from them, topological superconductivity may be achieved, e.g. by carrier doping or applying pressure. Here we report high-pressure…

Superconductivity · Physics 2016-09-27 L. P. He , Y. T. Jia , S. J. Zhang , X. C. Hong , C. Q. Jin , S. Y. Li

Understanding the nature of molecular excitons in low-dimensional molecular solids is of paramount importance in fundamental photophysics and various applications such as energy harvesting, switching electronics and display devices. Despite…

Materials Science · Physics 2023-05-18 Dogyeong Kim , Sol Lee , Jiwon Park , Jinho Lee , Hee Cheul Choi , Kwanpyo Kim , Sunmin Ryu

We consider theoretically as a function of temperature the plasmon mode arising in three-dimensional Dirac liquids, i.e., systems with linear chiral relativistic single-particle dispersion, within the random phase approximation. We find…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Johannes Hofmann , S. Das Sarma

Topological materials in crystal solids, including topological insulators (TIs), topological crystalline insulators (TCIs), topological Dirac semimetals (DSMs), topological Weyl semimetals (WSMs), topological Dirac or Weyl nodal line…

Materials Science · Physics 2017-05-05 Xing-Qiu Chen

Using first-principles density functional theory calculations, combined with a topological analysis, we have investigated the electronic properties of $Cd_3As_2$ and $Na_3Bi$ Dirac topological semimetals doped with non-magnetic and magnetic…

Strongly Correlated Electrons · Physics 2020-11-18 A. Rancati , N. Pournaghavi , M. F. Islam , A. Debernardi , C. M. Canali

Exciton problem is solved in the two-dimensional Dirac model with allowance for strong electron-hole attraction. The exciton binding energy is assumed smaller than but comparable to the band gap. The exciton wavefunction is found in the…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 N. V. Leppenen , L. E. Golub , E. L. Ivchenko

We report a combined theoretical/experimental study of dynamic screening of excitons in media with frequency-dependent dielectric functions. We develop an analytical model showing that interparticle interactions in an exciton are screened…

Mesoscale and Nanoscale Physics · Physics 2017-03-16 Andrey R. Klots , Benjamin Weintrub , Dhiraj Prasai , Daniel Kidd , Kalman Varga , Kirill A. Velizhanin , Kirill I. Bolotin

We investigate the competition between the superconducting and the excitonic phases on Dirac electrons on a bipartite planar lattice. The conditions for the appearance of superconductivity or excitonic condensate are given by the minima of…

Strongly Correlated Electrons · Physics 2020-09-29 Lizardo H. C. M. Nunes , R. L. S. Farias , E. C. Marino

An excitonic approach to the ultrafast optical response of confined semiconductors at elevated densities below the Mott transition is presented. The theory is valid from the coherent regime, where coherent excitonic transitions and…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 Henry Mittenzwey , Oliver Voigt , Andreas Knorr

Dirac semimetals, the materials featured with discrete linearly crossing points (called Dirac points) between four bands, are critical states of topologically distinct phases. Such gapless topological states have been accomplished by a…

Materials Science · Physics 2020-01-20 Xiangxi Cai , Liping Ye , Chunyin Qiu , Meng Xiao , Rui Yu , Manzhu Ke , Zhengyou Liu

The opening of an energy gap in the electronic structure generally indicates the presence of interactions. In materials with low carrier density and short screening length, long-range Coulomb interaction favors the spontaneous formation of…

Identifying materials hosting an excitonic insulator ground state has been one of the major pursuits in condensed matter physics in recent years. Promising candidates in transition metal chalcogenide compounds (TMC), including…

Strongly Correlated Electrons · Physics 2026-03-20 Yao Zeng , Shi-Cong Mo , Wéi Wú

In the framework of the two-band model of a doped semiconductor the self-consistent equations describing the transition into the excitonic insulator state are obtained for the 2D case. It is found that due to the exciton-electron…

Condensed Matter · Physics 2009-10-22 Michael N. Kiselev

Excitons are spin integer particles that are predicted to condense into a coherent quantum state at sufficiently low temperature, and exciton condensates can be realized at much higher temperature than condensates of atoms because of strong…