scholarly journals Publisher’s Note: Rare-Region-Induced Avoided Quantum Criticality in Disordered Three-Dimensional Dirac and Weyl Semimetals [Phys. Rev. X6, 021042 (2016)]

2016 ◽  
Vol 6 (3) ◽  
Author(s):  
J. H. Pixley ◽  
David A. Huse ◽  
S. Das Sarma
Keyword(s):  
Three Dimensional ◽  
Quantum Criticality ◽  
Weyl Semimetals

Three-dimensional quantum Hall effect in Weyl and double-Weyl semimetals

2018 ◽  
Vol 382 (44) ◽  
pp. 3205-3210
Author(s):  
Zhi-Peng Gao ◽  
Zhi Li ◽  
Dan-Wei Zhang
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Three Dimensional ◽  
Weyl Semimetals

scholarly journals Irradiated three-dimensional Luttinger semimetal: A factory for engineering Weyl semimetals

2018 ◽  
Vol 97 (20) ◽  
Author(s):  
Sayed Ali Akbar Ghorashi ◽  
Pavan Hosur ◽  
Chin-Sen Ting
Keyword(s):  
Three Dimensional ◽  
Weyl Semimetals

scholarly journals Thermoelectric Relations in the Conformal Limit in Dirac and Weyl Semimetals

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 814
Author(s):  
Vicente Arjona ◽  
Juan Borge ◽  
María A. H. Vozmediano
Keyword(s):  
Chemical Potential ◽  
Transport Coefficients ◽  
Three Dimensional ◽  
Anomalous Behavior ◽  
Conformal Anomaly ◽  
Electronic Systems ◽  
Electric Transport ◽  
Thermo Electric ◽  
Weyl Semimetals ◽  
Band Crossing

Dirac and Weyl semimetals are three-dimensional electronic systems with the Fermi level at or near a band crossing. Their low energy quasi-particles are described by a relativistic Dirac Hamiltonian with zero effective mass, challenging the standard Fermi liquid (FL) description of metals. In FL systems, electrical and thermo–electric transport coefficient are linked by very robust relations. The Mott relation links the thermoelectric and conductivity transport coefficients. In a previous publication, the thermoelectric coefficient was found to have an anomalous behavior originating in the quantum breakdown of the conformal anomaly by electromagnetic interactions. We analyze the fate of the Mott relation in the system. We compute the Hall conductivity of a Dirac metal as a function of the temperature and chemical potential and show that the Mott relation is not fulfilled in the conformal limit.

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