Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

First-principles theory of the Dirac semimetal Cd3 As2 under Zeeman magnetic field

Journal Article · · Physical Review. B
 [1];  [2]
  1. Rutgers Univ., Piscataway, NJ (United States); OSTI
  2. Rutgers Univ., Piscataway, NJ (United States)

Time-reversal broken Weyl semimetals have attracted much attention recently, but certain aspects of their behavior, including the evolution of their Fermi surface topology and anomalous Hall conductivity with Fermi-level position, have remained underexplored. A promising route to obtain such materials may be to start with a nonmagnetic Dirac semimetal and break time-reversal symmetry via magnetic doping or magnetic proximity. Here we explore this scenario in the case of the Dirac semimetal Cd3As2, based on first-principles density-functional calculations and subsequent low-energy modeling of Cd3As2 in the presence of a Zeeman field applied along the symmetry axis. We clarify how each four-fold degenerate Dirac node splits into four Weyl nodes, two with chirality ±1 and two higher-order nodes with chirality ±2. Using a minimal k · p model Hamiltonian whose parameters are fit to the first-principles calculations, we detail the evolution of the Fermi surfaces and their Chern numbers as the Fermi energy is scanned across the region of the Weyl nodes at fixed Zeeman field. We also compute the intrinsic anomalous Hall conductivity as a function of Fermi-level position, finding a characteristic inverted-dome structure. Cd3As2 is especially well suited to such a study because of its high mobility, but the qualitative behavior revealed here should be applicable to other Dirac semimetals as well.

Research Organization:
Johns Hopkins University, Baltimore, MD (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0019331
OSTI ID:
1853087
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 16 Vol. 102; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (28)

Electronicg-factor in Cd3As2 journal March 1979
Elektron und Gravitation. I journal May 1929
The Crystal and Electronic Structures of Cd 3 As 2 , the Three-Dimensional Electronic Analogue of Graphene journal March 2014
A stable three-dimensional topological Dirac semimetal Cd3As2 journal May 2014
Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2 journal June 2014
Evolution of Weyl orbit and quantum Hall effect in Dirac semimetal Cd3As2 journal November 2017
Strong and fragile topological Dirac semimetals with higher-order Fermi arcs journal January 2020
Quantum Hall effect based on Weyl orbits in Cd3As2 journal December 2018
Evidence of Topological Surface State in Three-Dimensional Dirac Semimetal Cd3As2 journal August 2014
Fermi-surface calculation of the anomalous Hall conductivity journal November 2007
Dirac semimetal and topological phase transitions in A 3 Bi ( A = Na , K, Rb) journal May 2012
Three-dimensional Dirac semimetal and quantum transport in Cd 3 As 2 journal September 2013
Chiral degeneracies and Fermi-surface Chern numbers in bcc Fe journal August 2015
Composite Weyl nodes stabilized by screw symmetry with and without time-reversal invariance journal July 2017
Magnetic field induced Weyl semimetal from Wannier-function-based tight-binding model journal August 2018
Weyl Semimetal in a Topological Insulator Multilayer journal September 2011
Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2 Se 4 journal October 2011
Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry journal June 2012
Experimental Realization of a Three-Dimensional Dirac Semimetal journal July 2014
Topological Nodal Cooper Pairing in Doped Weyl Metals journal February 2018
Generalized Gradient Approximation Made Simple journal October 1996
Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property journal November 2004
3D Dirac semimetal Cd 3 As 2 : A review of material properties journal December 2018
The crystal structure of Cd3As2 journal August 1968
Quantized Anomalous Hall Effect in Magnetic Topological Insulators journal June 2010
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator journal March 2013
Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi journal January 2014
Untersuchungen an den Phosphiden und Arseniden des Zinks und Cadmiums. Das Zn3P2-Gitter journal February 1935