Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Pacholski M"'
Autor:
Zakharov, V. A., Polla, S., Vela, A. Donís, Emonts, P., Pacholski, M. J., Tworzydło, J., Beenakker, C. W. J.
Publikováno v:
Phys. Rev. Research 6, 043059 (2024)
To apply the powerful many-body techniques of tensor networks to massless Dirac fermions one wants to discretize the $p\cdot\sigma$ Hamiltonian and construct a matrix-product-operator (MPO) representation. We compare two alternative discretization sc
Externí odkaz:
http://arxiv.org/abs/2407.06713
Publikováno v:
Phys.Rev.Lett. 133, 116501 (2024)
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 on a one-dimensional lattice have failed to reproduce the established
Externí odkaz:
http://arxiv.org/abs/2401.10828
Publikováno v:
Phys. Rev. B 107, 205420 (2023)
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 study the dynamics of the deconfinement, as a manifestation of the Magnus
Externí odkaz:
http://arxiv.org/abs/2303.05959
Publikováno v:
Annalen der Physik 535, 2300081 (2023)
I. Introduction II. Two-dimensional lattice fermions III. Methods to avoid fermion doubling (sine dispersion, sine plus cosine dispersion, staggered lattice dispersion, linear sawtooth dispersion, tangent dispersion) IV. Topologically protected Dirac
Externí odkaz:
http://arxiv.org/abs/2302.12793
Publikováno v:
J. Phys. Cond. Matt. 34, 364003 (2022)
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 phenomenon, known as "Klein tunneling", may be lost if the Dirac equation
Externí odkaz:
http://arxiv.org/abs/2201.08127
Publikováno v:
Ann. Physik 534, 2200206 (2022)
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 between multiple Dirac cones in the Brillouin zone (fermion doubling) o
Externí odkaz:
http://arxiv.org/abs/2201.02235
Publikováno v:
J. Phys. A 55, 234003 (2022)
We calculate the spectral statistics of the Kramers-Weyl Hamiltonian $H=v\sum_{\alpha} \sigma_\alpha\sin p_\alpha+t \sigma_0\sum_\alpha\cos p_\alpha$ in a chaotic quantum dot. The Hamiltonian has symplectic time-reversal symmetry ($H$ is invariant wh
Externí odkaz:
http://arxiv.org/abs/2112.06218
Publikováno v:
Phys. Rev. B 104, 125444 (2021)
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 parallel or antiparallel to the vector in the Brillouin zone that separates W
Externí odkaz:
http://arxiv.org/abs/2106.12327
Publikováno v:
New J. Phys. 23, 103006 (2021)
Fu and Kane have discovered that a topological insulator with induced s-wave superconductivity (gap $\Delta_0$, Fermi velocity $v_{\rm F}$, Fermi energy $\mu$) supports chiral Majorana modes propagating on the surface along the edge with a magnetic i
Externí odkaz:
http://arxiv.org/abs/2105.04433
Publikováno v:
SciPost Phys. 11, 105 (2021)
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 appearance of a spurious second cone in the Brillouin zone. We adapt the Stacey
Externí odkaz:
http://arxiv.org/abs/2103.15615