Topological van Hove singularities at phase transitions in Weyl metals
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Topological van Hove singularities at phase transitions in Weyl metals. / Fontana, Pierpaolo; Burrello, Michele; Trombettoni, Andrea.
I: Physical Review B, Bind 104, Nr. 19, 195127, 15.11.2021.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Topological van Hove singularities at phase transitions in Weyl metals
AU - Fontana, Pierpaolo
AU - Burrello, Michele
AU - Trombettoni, Andrea
PY - 2021/11/15
Y1 - 2021/11/15
N2 - We show that in three-dimensional (3D) topological metals, a subset of the van Hove singularities of the density of states sits exactly at the transitions between topological and trivial gapless phases. We may refer to these as topological van Hove singularities. By investigating two minimal models, we show that they originate from energy saddle points located between Weyl points with opposite chiralities, and we illustrate their topological nature through their magnetotransport properties in the ballistic regime. We exemplify the relation between van Hove singularities and topological phase transitions in Weyl systems by analyzing the 3D Hofstadter model, which offers a simple and interesting playground to consider different kinds of Weyl metals and to understand the features of their density of states. In this model, as a function of the magnetic flux, the occurrence of topological van Hove singularities can be explicitly checked.
AB - We show that in three-dimensional (3D) topological metals, a subset of the van Hove singularities of the density of states sits exactly at the transitions between topological and trivial gapless phases. We may refer to these as topological van Hove singularities. By investigating two minimal models, we show that they originate from energy saddle points located between Weyl points with opposite chiralities, and we illustrate their topological nature through their magnetotransport properties in the ballistic regime. We exemplify the relation between van Hove singularities and topological phase transitions in Weyl systems by analyzing the 3D Hofstadter model, which offers a simple and interesting playground to consider different kinds of Weyl metals and to understand the features of their density of states. In this model, as a function of the magnetic flux, the occurrence of topological van Hove singularities can be explicitly checked.
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KW - FERMIONS
KW - STATES
KW - BAND
U2 - 10.1103/PhysRevB.104.195127
DO - 10.1103/PhysRevB.104.195127
M3 - Journal article
VL - 104
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 19
M1 - 195127
ER -
ID: 285453325