Due to Klein tunneling, electrostatic potentials are unable confine Dirac electrons. We show that it is possible massless fermions in a monolayer graphene sheet by inhomogeneous magnetic fields. This allows one design mesoscopic structures barriers, e.g. quantum dots or point contacts.

We study the behavior of charge carriers in graphene inhomogeneous perpendicular magnetic fields. consider two types one-dimensional profiles, uniform one direction: a sequence $N$ barriers and alternating wells. In both cases, we compute transmission coefficient structure by means transfer-matrix formalism associated conductance. first case becomes increasingly transparent upon increasing at fixed total flux. second find strong wave-vector filtering resonant effects. also calculate band...

We consider electron waveguides (quantum wires) in graphene created by suitable inhomogeneous magnetic fields. The properties of unidirectional snake states are discussed. For a certain field profile, two spatially separated counterpropagating formed, leading to conductance quantization insensitive backscattering impurities or irregularities the field.

We address the problem of spin-resolved scattering through spin-orbit nanostructures in graphene, i.e., regions inhomogeneous coupling on nanometer scale. discuss phenomenon spin-double refraction and its consequences spin polarization. Specifically, we study transmission properties a single double interface between normal region with finite coupling, analyze polarization these systems. Moreover, for case interface, determine spectrum edge states localized at boundary two their properties.

We study the spin-resolved transport through magnetic nanostructures in monolayer and bilayer graphene. take into account both orbital effect of inhomogeneous perpendicular field as well in-plane spin splitting due to Zeeman interaction exchange coupling possibly induced by proximity a ferromagnetic insulator. find that single barrier exhibits wave-vector-dependent filtering at energies close transmission threshold. This is significantly enhanced resonant double configuration, where...

We study the low-energy single-electron transport across a junction of two magnetic Weyl semimetals, in which anisotropy axes are tilted one respect to other. Using two-band model with potential step, we compute transmission factor for normal and Klein tunneling refraction properties interface as function tilt angle. show that acts beam splitter, separating electrons different chiralities. also characterize states, only appearing finite angle, connect projection Fermi surfaces on sides...

A theoretical description of electron spin resonance (ESR) in 1D interacting metals is given, with primary emphasis on carbon nanotubes. The spin-orbit coupling derived, and the resulting ESR spectrum analyzed using a low-energy field theory. Drastic differences spectra single-wall multiwall nanotubes are found. For tubes, predicted double peak linked to spin-charge separation. single narrow asymmetric expected.

We study the band structure of graphene's Dirac-Weyl quasiparticles in a one-dimensional magnetic superlattice formed by periodic sequence alternating barriers. The spectrum and nature states strongly depend on conserved longitudinal momentum barrier width. At center Brillouin zone we find new Dirac points at finite energies where dispersion is highly anisotropic, contrast to close neutrality point which remains isotropic. This finding suggests possibility collimating tuning doping.

We consider a smooth interface between topological nodal-line semimetal and topologically trivial insulator (e.g., the vacuum) or another with nodal ring of different radius. Using low-energy effective Hamiltonian including only two crossing bands, we show that these junctions accommodate two-dimensional zero-energy level set dispersive corresponding to states localized at interface. characterize spectrum, identifying parameter ranges in which are present, highlight role radius smoothness...

We derive the effective low-energy theory for interacting electrons in metallic single-wall carbon nanotubes, taking into account phonon exchange due to twisting, stretching, and breathing modes within a continuum elastic description. In many cases, nanotube can be described as standard Luttinger liquid with possibly attractive interactions. predict surprisingly strong interactions thin nanotubes. Once tube radius reaches critical value...

We present the effective low-energy theory for interacting one-dimensional (1D) quantum wires subject to Rashba spin-orbit coupling. Under a one-loop renormalization-group scheme including all allowed interaction processes not too weak coupling, we show that electron-electron backscattering is an irrelevant perturbation. Therefore no gap arises and electronic transport described by modified Luttinger liquid theory. As application of theory, discuss Ruderman-Kittel-Kasuya-Yosida (RKKY)...

The electronic properties of a graphene monolayer in magnetic and strain-induced pseudo-magnetic field are studied the presence spin-orbit interactions (SOI) that artificially enhanced, e.g., by suitable adatom deposition. For homogeneous case, we provide analytical results for Landau level eigenstates arbitrary intrinsic Rashba SOI, including also Zeeman field. edge states semi-infinite geometry absence term. critical value field, find quantum phase transition separating two phases with...

We study electric dipole effects for massive Dirac fermions in graphene and related materials. The potential accommodates towers of infinitely many bound states exhibiting a universal Efimov-like scaling hierarchy. moment determines the number towers, but there is always at least one tower. corresponding eigenstates show characteristic angular asymmetry, observable tunnel spectroscopy. However, charge transport properties inferred from scattering are highly isotropic.

We consider electron–electron interaction effects in quantum point contacts on the first quantization plateau, taking into account all scattering processes. compute low-temperature linear and nonlinear conductance, shot noise thermopower, by perturbation theory a self-consistent nonperturbative method. On conductance corrections are solely due to momentum-nonconserving processes that change relative number of left- right-moving electrons. This leads suppression for increasing temperature or...

We consider particle transport under the influence of time-varying driving forces, where fluctuation relations connect statistics pairs time-reversed evolutions physical observables. In many ``mesoscopic'' processes, effective many-particle dynamics is dominantly classical while microscopic rates governing motion are quantum-mechanical origin. here employ stochastic path-integral approach as an optimal tool to probe in such applications. Describing limit Keldysh quantum nonequilibrium field...

We formulate and study the effective low-energy quantum theory of interacting long-wavelength acoustic phonons in carbon nanotubes within framework continuum elasticity theory. A general analytical derivation all three- four-phonon processes is provided relevant coupling constants are determined terms few elastic coefficients. Due to low dimensionality parabolic dispersion, finite-temperature density noninteracting flexural diverges a nonperturbative approach their interactions necessary....

The authors investigate the effect of a smooth modulation intrinsic spin-orbit coupling towards edge graphene nanoribbons and find that it leads to appearance set unprotected massive Volkov-Pankratov states, in addition topologically protected helical ones.

Weyl semimetals harbor topological Fermi-arc surface states which determine the nontrivial charge current response to external fields. We here study quasiparticle decay rate of Fermi arc arising from their coupling acoustic phonons, as well phonon-limited conductivity tensor for a clean semimetal slab. Using phonon modes an isotropic elastic continuum with deformation potential electrons, we temperature dependence rate, both near and far away termination points. By solving coupled Boltzmann...

We study two-dimensional (2D) Dirac fermions in the presence of a periodic mass term alternating between positive and negative values along one direction. This scenario could be realized for graphene monolayer or surface states topological insulators. The low-energy physics is governed by chiral Jackiw-Rebbi modes propagating zero-mass lines, with energy dispersion Bloch given an anisotropic cone. By means transfer matrix approach, we obtain exact results piecewise constant superlattice. On...

We study one-dimensional disordered bosons with strong repulsive interactions. A Bose-Fermi mapping expresses this problem in terms of noninteracting Anderson-localized fermions, whereby known results for the distribution function local density states, spectral statistics, and density-density correlations can be transferred to new domain applicability. show that disorder destroys bosonic quasi-long-range order by calculating momentum distribution, comment on experimental observability these...

Electronic waveguides in graphene formed by counterpropagating snake states suitable inhomogeneous magnetic fields are shown to constitute a realization of Tomonaga-Luttinger liquid. Due the spatial separation right- and left-moving states, this non-Fermi liquid state induced electron-electron interactions is essentially unaffected disorder. We calculate interaction parameters accounting for absence Galilei invariance system, thereby demonstrate that effects significant tunable realistic geometries.

We discuss the spectrum of a magnetic quantum dot in graphene. Such can be formed by an inhomogeneous (or strain-induced pseudo-magnetic) field. present detailed calculations for circularly symmetric dot, where field is constant except within disk it vanishes. The number bound states determined missing flux through disk.

We present a theoretical analysis of unidirectional interface states which form near $p\text{\ensuremath{-}}n$ junctions in graphene monolayer subject to homogeneous magnetic field. The semiclassical limit these corresponds trajectories propagating along the by combined skipping-snaking motion. Studying two-dimensional Dirac equation with field and an electrostatic potential step, we provide discuss exact essentially analytical solution quantum-mechanical eigenproblem for both straight...