Publications related to Hermann Weyl

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

We study the one-dimensional discrete Schrödinger operator with the skew-shift potential

2\lambda\cos\left(2\pi \left(\binom{j}{2} \omega+jy+x\right)\right)

. This potential is long conjectured to behave like a random one, i.e., it is expected to produce ...

2018

Persistence of a surface state arc in the topologically trivial phase of MoTe2

Marco Grioni, Arnaud Magrez, Oleg Yazyev, Helmuth Berger, Philippe Bugnon, Alberto Crepaldi, Gabriel Albert Autes

The prediction of Weyl fermions in the low-temperature noncentrosymmetric 1T' phase of MoTe2 still awaits clear experimental confirmation. Here, we report angle-resolved photoemission (ARPES) data and ab initio calculations that reveal a surface state arc ...

Amer Physical Soc2017

Inducing superconductivity in Weyl semimetal microstructures by selective ion sputtering

Philip Johannes Walter Moll, Maja Deborah Bachmann

By introducing a superconducting gap in Weyl or Dirac semimetals, the superconducting state inherits the nontrivial topology of their electronic structure. As a result, Weyl superconductors are expected to host exotic phenomena, such as nonzero-momentum pa ...

2017

Observation of Weyl nodes and Fermi arcs in tantalum phosphide

Oleg Yazyev, Joël Mesot, Gabriel Albert Autes, Kazimierz Conder

A Weyl semimetal possesses spin-polarized band-crossings, called Weyl nodes, connected by topological surface arcs. The low-energy excitations near the crossing points behave the same as massless Weyl fermions, leading to exotic properties like chiral anom ...

Nature Publishing Group2016

Weyl and Ricci gauging from the coset construction

Alexander Monin, Georgios Karananas

In this paper we demonstrate how, using the coset construction, a theory can be systematically made Weyl invariant by gauging the scale symmetry. We show that an analog of the inverse Higgs constraint allows the elimination of the Weyl vector (gauge) field ...

Amer Physical Soc2016

Transport evidence for Fermi-arc-mediated chirality transfer in the Dirac semimetal Cd3As2

Philip Johannes Walter Moll

The dispersion of charge carriers in a metal is distinctly different from that of free electrons owing to their interactions with the crystal lattice. These interactions may lead to quasiparticles mimicking the massless relativistic dynamics of high-energy ...

2016

Magnetic torque anomaly in the quantum limit of Weyl semimetals

Philip Johannes Walter Moll

Electrons in materials with linear dispersion behave as massless Weyl- or Dirac-quasiparticles, and continue to intrigue due to their close resemblance to elusive ultra-relativistic particles as well as their potential for future electronics. Yet the exper ...

2016

Weyl vs. conformal

Alexander Monin, Georgios Karananas

In this note we show that given a conformally invariant theory in flat space-time, it is not always possible to couple it to gravity in a Weyl invariant way. (C) 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY li ...

Elsevier2016

Robust Type-II Weyl Semimetal Phase in Transition Metal Diphosphides XP2 (X = Mo, W)

Oleg Yazyev, Gabriel Albert Autes

The recently discovered type-II Weyl points appear at the boundary between electron and hole pockets. Type-II Weyl semimetals that host such points are predicted to exhibit a new type of chiral anomaly and possess thermodynamic properties very different fr ...

Amer Physical Soc2016

Weyl Transforms for H-Type Groups?

Aparajita Dasgupta

Weyl transforms for H-type groups are introduced and shown to be the classical Weyl transforms on Rn. ...

2015

Hermann Weyl

Graph Chatbot

Chat with Graph Search

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Persistence of a surface state arc in the topologically trivial phase of MoTe2

Inducing superconductivity in Weyl semimetal microstructures by selective ion sputtering

Observation of Weyl nodes and Fermi arcs in tantalum phosphide

Weyl and Ricci gauging from the coset construction

Transport evidence for Fermi-arc-mediated chirality transfer in the Dirac semimetal Cd3As2

Magnetic torque anomaly in the quantum limit of Weyl semimetals

Weyl vs. conformal

Robust Type-II Weyl Semimetal Phase in Transition Metal Diphosphides XP2 (X = Mo, W)

Weyl Transforms for H-Type Groups?

Magnetic torque anomaly in the quantum limit of Weyl semimetals

Weyl and Ricci gauging from the coset construction

Inducing superconductivity in Weyl semimetal microstructures by selective ion sputtering

Weyl vs. conformal

Robust Type-II Weyl Semimetal Phase in Transition Metal Diphosphides XP2 (X = Mo, W)

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Transport evidence for Fermi-arc-mediated chirality transfer in the Dirac semimetal Cd3As2

Weyl Transforms for H-Type Groups?

Persistence of a surface state arc in the topologically trivial phase of MoTe2

Observation of Weyl nodes and Fermi arcs in tantalum phosphide