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We investigate the motion of fermions in the presence of an electro\-weak phase transition bubble wall. We derive and solve the Dirac equation for such fer\-mions, and compute the transmission and reflection coefficients for fermions…

High Energy Physics - Phenomenology · Physics 2009-10-22 Alejandro Ayala , Jamal Jalilian--Marian , Larry McLerran , Axel P. Vischer

We consider Dirac quasi-particles, as realized with cold atoms loaded in a honeycomb lattice or in a $\pi$-flux square lattice, in the presence of a weak correlated disorder such that the disorder fluctuations do not couple the two Dirac…

Disordered Systems and Neural Networks · Physics 2014-04-30 Kean Loon Lee , Benoît Grémaud , Christian Miniatura

A Dirac fermion in a topological Dirac semimetal is a quadruple-degenerate quasi-particle state with a relativistic linear dispersion. Breaking either time-reversal or inversion symmetry turns this system into a Weyl semimetal that hosts…

Materials Science · Physics 2017-07-07 Han-Jin Noh , Jinwon Jeong , En-Jin Cho , Kyoo Kim , B. I. Min , Byeong-Gyu Park

We show that a thin film of Weyl or Dirac semimetal with a strong in-plane magnetic field becomes a novel two-dimensional Fermi liquid with interesting properties. The Fermi surface in this system is strongly anisotropic, which originates…

Mesoscale and Nanoscale Physics · Physics 2016-02-24 Daniel Bulmash , Xiao-Liang Qi

Three-dimensional Weyl fermions are found to emerge from simple cubic lattices with staggered fluxes. The mechanism is to gap the quadratic band touching by time-reversal-symmetry-breaking hoppings. The system exhibits rich phase diagrams…

Quantum Gases · Physics 2012-04-03 Jian-Hua Jiang

Several lattices, such as the dice or the Lieb lattice, possess Dirac cones and a flat band crossing the Dirac point, whose effective model is the pseudospin-1 Dirac-Weyl equation. We investigate the fate of the flat band in the presence of…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 Máté Vigh , László Oroszlány , Szabolcs Vajna , Pablo San-Jose , Gyula Dávid , József Cserti , Balázs Dóra

Semiconductor-based quantum dot single-electron pumps are currently the most promising candidates for the direct realization of the emerging quantum standard of the ampere in the International System of Units. Here, we discuss a silicon…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Tuomo Tanttu , Alessandro Rossi , Kuan Yen Tan , Akseli Mäkinen , Kok Wai Chan , Andrew S. Dzurak , Mikko Möttönen

We demonstrate that the physical reason for the nontrivial topological properties of Dirac semimetals $A_3 Bi$ (A=Na,K,Rb) is connected with a discrete symmetry of the low-energy effective Hamiltonian. By making use of this discrete…

Strongly Correlated Electrons · Physics 2015-03-11 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

We theoretically study the quantum transport in a three-dimensional spin-1 chiral fermion system in the presence of impurity scattering. Within the self-consistent Born approximation, we find peak structure of the density of states and…

Mesoscale and Nanoscale Physics · Physics 2022-12-20 Risako Kikuchi , Takumi Funato , Ai Yamakage

In mesoscopic physics, the application of a time-periodic drive leads to novel transport behaviour, which is absent in the static regimes. Here we consider a quantum pumping protocol, such that the quasiparticles of Weyl/multi-Weyl and…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Sandip Bera , Sajid Sekh , Ipsita Mandal

In quantum field theory, we learn that fermions come in three varieties: Majorana, Weyl, and Dirac. Here we show that in solid state systems this classification is incomplete and find several additional types of crystal symmetry-protected…

Mesoscale and Nanoscale Physics · Physics 2016-07-25 Barry Bradlyn , Jennifer Cano , Zhijun Wang , M. G. Vergniory , C. Felser , R. J. Cava , B. Andrei Bernevig

Usually the quantum spin Hall states are expected to possess gapless, helical edge modes. Are there clean, non-interacting, quantum spin Hall states without gapless, edge modes? We show the generic, $n$-fold-symmetric, momentum planes of…

Mesoscale and Nanoscale Physics · Physics 2022-06-10 Alexander C. Tyner , Shouvik Sur , Danilo Puggioni , James M. Rondinelli , Pallab Goswami

We study DC charge and spin transport through a weakly coupled quantum dot, driven by a non-adiabatic periodic change of system parameters. We generalize the model of Tien and Gordon to simultaneously oscillating voltages and tunnel…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Matthias Braun , Guido Burkard

The ability to optically engineer the Dirac band and electrically control the Fermi level in two-dimensional (2D) Dirac systems, such as graphene, has significantly advanced quantum technologies. However, similar tunability has remained…

Materials Science · Physics 2025-01-29 Sobhan Subhra Mishra , Thomas CaiWei Tan , Manoj Gupta , Faxian Xiu , Ranjan Singh

We investigate single-particle ballistic scattering on a rectangular barrier in the nodal-line Weyl semimetals. Since the system under study has a crystallographic anisotropy, the scattering properties are dependent on mutual orientation of…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 D. A. Khokhlov , A. L. Rakhmanov , A. V. Rozhkov

The chiral vortical effect (CVE) -- an axial current driven by rotation in chiral matter -- appears in systems ranging from relativistic fluids to Weyl semimetals, yet its quantum origin remains unclear because existing derivations are…

Strongly Correlated Electrons · Physics 2026-04-03 B. Q. Song , Pavan Hosur

We consider quantum rings realized in materials where the dynamics of charge carriers mimics that of two-dimensional (2D) Dirac electrons. A general theoretical description of the ring-subband structure is developed that applies to a range…

Mesoscale and Nanoscale Physics · Physics 2018-05-17 L. Gioia , U. Zülicke , M. Governale , R. Winkler

Multi-band touchings together with the emergence of fermions exhibiting linear dispersions have recently been predicted and realized in various materials. We first investigate the Adler-Bell-Jackiw chiral anomaly in these multi-band…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 Motohiko Ezawa

We investigate two schemes for pumping spin adiabatically from a ferromagnet through an interacting quantum dot into a normal lead, which exploit the possibility to vary in time the ferromagnet's magnetization, either its amplitude or its…

Mesoscale and Nanoscale Physics · Physics 2013-05-17 Nina Winkler , Michele Governale , Jürgen König

Quantum conductance fluctuations are investigated in disordered 3D topological insulator quantum wires. Both experiments and theory reveal a new transport regime in a mesoscopic conductor, pseudo-ballistic transport, for which ballistic…

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