Kubo conductivity for anisotropic tilted Dirac semimetals and its application to 8-Pmmn borophene: Role of frequency, temperature, and scattering limits

被引:20
作者
Herrera, Saul A. [1 ]
Naumis, Gerardo G. [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Inst Fis, Dept Sistemas Complejos, Apartado Postal 20-364, Ciudad De Mexico 01000, Mexico
关键词
CARBON;
D O I
10.1103/PhysRevB.100.195420
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The electronic and optical conductivities for anisotropic tilted Dirac semimetals are calculated using the Kubo formula. It is shown that, as in graphene, the minimal conductivity is sensitive to the order in which different temperature, frequency, and scattering limits are taken. Both intraband and interband conductivities are found to be direction dependent. In the high-frequency and low-temperature limit the geometric mean root sigma(xx)sigma(xy) reaches the same constant value as in graphene. This results from the fact that, in the zero-temperature limit, interband transitions are not affected by the tilt in the dispersion, a result that is physically interpreted as a global tilt in the allowed transitions. Such a result is verified by an independent and direct calculation of the absorption coefficient using Fermi's golden rule. However, as the temperature is raised, an interesting minimum is observed in the interband conductivity, interpreted here as a consequence of the interplay between the tilt in the allowed transitions and the chemical potential increasing with the temperature. This effect is a signature of the global tilt in the allowed optical transitions and can be measured by a suitable optical experiment.
引用
收藏
页数:10
相关论文
共 54 条
[41]   Dynamical Conductivity of Dirac Electrons in Organic Conductors [J].
Suzumura, Yoshikazu ;
Proskurin, Igor ;
Ogata, Masao .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2014, 83 (09)
[42]   Effect of Tilting on the In-Plane Conductivity of Dirac Electrons in Organic Conductor [J].
Suzumura, Yoshikazu ;
Proskurin, Igor ;
Ogata, Masao .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2014, 83 (02)
[43]   Optical and transport properties in three-dimensional Dirac and Weyl semimetals [J].
Tabert, C. J. ;
Carbotte, J. P. ;
Nicol, E. J. .
PHYSICAL REVIEW B, 2016, 93 (08)
[44]   Magnetic-Field-Induced Relativistic Properties in Type-I and Type-II Weyl Semimetals [J].
Tchoumakov, Serguei ;
Civelli, Marcello ;
Goerbig, Mark O. .
PHYSICAL REVIEW LETTERS, 2016, 117 (08)
[45]   Quantum transport in Dirac materials: Signatures of tilted and anisotropic Dirac and Weyl cones [J].
Trescher, Maximilian ;
Sbierski, Bjoern ;
Brouwer, Piet W. ;
Bergholtz, Emil J. .
PHYSICAL REVIEW B, 2015, 91 (11)
[46]   Effect of electron-hole asymmetry on optical conductivity in 8-Pmmn borophene [J].
Verma, Sonu ;
Mawrie, Alestin ;
Ghosh, Tarun Kanti .
PHYSICAL REVIEW B, 2017, 96 (15)
[47]   Topological Materials: Weyl Semimetals [J].
Yan, Binghai ;
Felser, Claudia .
ANNUAL REVIEW OF CONDENSED MATTER PHYSICS, VOL 8, 2017, 8 :337-354
[48]   Ab initio prediction of stable boron sheets and boron nanotubes:: Structure, stability, and electronic properties [J].
Yang, Xiaobao ;
Ding, Yi ;
Ni, Jun .
PHYSICAL REVIEW B, 2008, 77 (04)
[49]   Strain-induced pseudomagnetic field in the Dirac semimetal borophene [J].
Zabolotskiy, A. D. ;
Lozovik, Yu. E. .
PHYSICAL REVIEW B, 2016, 94 (16)
[50]   2D nanomaterials: beyond graphene and transition metal dichalcogenides [J].
Zhang, Hua ;
Cheng, Hui-Ming ;
Ye, Peide .
CHEMICAL SOCIETY REVIEWS, 2018, 47 (16) :6009-6012