activity
20162024
most citedTangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling

17 citations · 145 across the 19 of their papers we have counts for

collaborators

19 papers

cond-mat.str-el2024★ 4 cited

Luttinger liquid tensor network: sine versus tangent dispersion of massless Dirac fermions

V. A. Zakharov, S. Polla, A. Donís Vela +4

To apply the powerful many-body techniques of tensor networks to massless Dirac fermions one wants to discretize the Hamiltonian and construct a matrix-product-operator (…

cond-mat.str-el2024★ 5 cited

Helical Luttinger liquid on a space-time lattice

V. A. Zakharov, J. Tworzydlo, C. W. J. Beenakker +1

The Luttinger model is a paradigm for the breakdown due to interactions of the Fermi liquid description of one-dimensional massless Dirac fermions. Attempts to discretize the model…

cond-mat.mes-hall2023★ 1 cited

Magnus effect on a Majorana zero-mode

G. Lemut, M. J. Pacholski, S. Plugge +2

A supercurrent on the proximitized surface of a topological insulator can cause a delocalization transition of a Majorana fermion bound to a vortex core as a zero-mode. Here we stu…

cond-mat.mes-hall2023★ 17 cited

Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling

C. W. J. Beenakker, A. Donis Vela, G. Lemut +2

I. Introduction II. Two-dimensional lattice fermions III. Methods to avoid fermion doubling (sine dispersion, sine plus cosine dispersion, staggered lattice dispersion, linear sawt…

cond-mat.mes-hall2022★ 4 cited

Reflectionless Klein tunneling of Dirac fermions: Comparison of split-operator and staggered-lattice discretization of the Dirac equation

A. Donís Vela, G. Lemut, M. J. Pacholski +2

Massless Dirac fermions in an electric field propagate along the field lines without backscattering, due to the combination of spin-momentum locking and spin conservation. This phe…

cond-mat.mes-hall2022★ 8 cited

Massless Dirac fermions on a space-time lattice with a topologically protected Dirac cone

A. Donís Vela, M. J. Pacholski, G. Lemut +2

The symmetries that protect massless Dirac fermions from a gap opening may become ineffective if the Dirac equation is discretized in space and time, either because of scattering b…

cond-mat.mes-hall2021

Supercell symmetry modified spectral statistics of Kramers-Weyl fermions

G. Lemut, M. J. Pacholski, J. Tworzydło +1

We calculate the spectral statistics of the Kramers-Weyl Hamiltonian in a chaotic quantum dot. The Hamiltonian has symplectic time-rever…

cond-mat.mes-hall2021

Chiral charge transfer along magnetic field lines in a Weyl superconductor

G. Lemut, M. J. Pacholski, C. W. J. Beenakker

We identify a signature of chirality in the electrical conduction along magnetic vortices in a Weyl superconductor: The conductance depends on whether the magnetic field is paralle…

cond-mat.mes-hall2021

Chirality inversion of Majorana edge modes in a Fu-Kane heterostructure

A. Donís Vela, G. Lemut, M. J. Pacholski +1

Fu and Kane have discovered that a topological insulator with induced s-wave superconductivity (gap , Fermi velocity , Fermi energy ) supports chiral Majorana mo…

cond-mat.mes-hall2021★ 15 cited

Generalized eigenproblem without fermion doubling for Dirac fermions on a lattice

M. J. Pacholski, G. Lemut, J. Tworzydło +1

The spatial discretization of the single-cone Dirac Hamiltonian on the surface of a topological insulator or superconductor needs a special "staggered" grid, to avoid the appearanc…

cond-mat.mes-hall2021★ 6 cited

Deconfinement of Majorana vortex modes produces a superconducting Landau level

M. J. Pacholski, G. Lemut, O. Ovdat +2

A spatially oscillating pair potential with momentum drives a deconfinement transition of the Majorana bound states in the vortex cores o…

cond-mat.mes-hall2020★ 14 cited

Half-integer charge injection by a Josephson junction without excess noise

F. Hassler, A. Grabsch, M. J. Pacholski +4

A Josephson junction in a topological superconductor can inject a charge e/2 into a normal-metal contact, carried by chiral Majorana edge modes. Here we address the question whethe…

cond-mat.mes-hall2020★ 4 cited

Magnetic breakdown spectrum of a Kramers-Weyl semimetal

G. Lemut, A. Donís Vela, M. J. Pacholski +2

We calculate the Landau levels of a Kramers-Weyl semimetal thin slab in a perpendicular magnetic field . The coupling of Fermi arcs on opposite surfaces broadens the Landau leve…

cond-mat.mes-hall2019★ 16 cited

Localization landscape for Dirac fermions

G. Lemut, M. J. Pacholski, O. Ovdat +3

In the theory of Anderson localization, a landscape function predicts where wave functions localize in a disordered medium, without requiring the solution of an eigenvalue problem.…

cond-mat.mes-hall2019★ 6 cited

Universal chiral magnetic effect in the vortex lattice of a Weyl superconductor

M. J. Pacholski, C. W. J. Beenakker, İ. Adagideli

It was shown recently that Weyl fermions in a superconducting vortex lattice can condense into Landau levels. Here we study the chiral magnetic effect in the lowest Landau level: T…

cond-mat.mes-hall2019★ 15 cited

Time-resolved electrical detection of chiral edge vortex braiding

I. Adagideli, F. Hassler, A. Grabsch +2

A phase shift across a Josephson junction in a topological superconductor injects vortices into the chiral edge modes at opposite ends of the junction. When two vortices are f…

cond-mat.mes-hall2019★ 5 cited

Effect of charge renormalization on electric and thermo-electric transport along the vortex lattice of a Weyl superconductor

G. Lemut, M. J. Pacholski, İ. Adagideli +1

Building on the discovery that a Weyl superconductor in a magnetic field supports chiral Landau level motion along the vortex lines, we investigate its transport properties out of…

cond-mat.mes-hall2017★ 16 cited

Topologically protected Landau level in the vortex lattice of a Weyl superconductor

M. J. Pacholski, C. W. J. Beenakker, İ. Adagideli

The question whether the mixed phase of a gapless superconductor can support a Landau level is a celebrated problem in the context of \textit{d}-wave superconductivity, with a nega…

cond-mat.mes-hall2016★ 9 cited

Wiedemann-Franz-type relation between shot noise and thermal conduction of Majorana surface states in a three-dimensional topological superconductor

N. V. Gnezdilov, M. Diez, M. J. Pacholski +1

We compare the thermal conductance (at temperature ) and the electrical shot noise power (at bias voltage ) of Majorana fermi…