Thermoelectric current in topological insulator nanowires with impurities

Erlingsson, Sigurdur I.; Bardarson, Jens H.; Manolescu, Andrei

doi:10.3762/bjnano.9.107

Cited by 7 publications

(10 citation statements)

References 43 publications

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“…where the tetrad e i a , the spin connection Γ i and the deformation function f are given by equations ( 23) and (24). The analytical solution to the Dirac equation has been found in [12] and is given by…”

Section: Dirac Waves In Strained Graphenementioning

confidence: 99%

Shifted Landau levels in curved graphene sheets

Debus

Mendoza

Herrmann

2018

J. Phys.: Condens. Matter

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We study the Landau levels in curved graphene sheets by measuring the discrete energy spectrum in the presence of a magnetic field. We observe that in rippled graphene sheets, the Landau energy levels satisfy the same square root dependence on the energy quantum number as in flat sheets, [Formula: see text]. Though, we find that the Landau levels in curved sheets are shifted towards lower energies by an amount proportional to the average spatial deformation of the sheet. Our findings are relevant for the quantum Hall effect in curved graphene sheets, which is directly related to Landau quantization. For the purpose of this study, we develop a new numerical method, based on the quantum lattice Boltzmann method, to solve the Dirac equation on curved manifolds, describing the low-energetic states in strained graphene sheets.

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Section: Dirac Waves In Strained Graphenementioning

confidence: 99%

Shifted Landau levels in curved graphene sheets

Debus

Mendoza

Herrmann

2018

J. Phys.: Condens. Matter

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“…A novel example of sign reversal of the thermoelectric current has been recently predicted in tubular nanowires, either with a core-shell structure or made of a topological insulator material, in the presence of a transversal magnetic field [ 81 ]. In this case the energy spectra are continuous, but organized in subbands which are nonmonotonic functions of the wavevector along the nanowire, yielding a transmission function nonmonotonic with the energy, and the reversal of the thermoelectric current, even in the presence of moderate perturbations [ 82 , 83 ].…”

Section: Thermoelectric Transportmentioning

confidence: 99%

Generalized Master Equation Approach to Time-Dependent Many-Body Transport

Moldoveanu

Manolescu

Guðmundsson

2019

Entropy

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We recall theoretical studies on transient transport through interacting mesoscopic systems. It is shown that a generalized master equation (GME) written and solved in terms of manybody states provides the suitable formal framework to capture both the effects of the Coulomb interaction and electron-photon coupling due to a surrounding single-mode cavity. We outline the derivation of this equation within the Nakajima-Zwanzig formalism and point out technical problems related to its numerical implementation for more realistic systems which can neither be described by non-interacting two-level models nor by a steady-state Markov-Lindblad equation. We first solve the GME for a lattice model and discuss the dynamics of many-body states in a twodimensional nanowire, the dynamical onset of the current-current correlations in electrostatically coupled parallel quantum dots and transient thermoelectric properties. Secondly, we rely on a continuous model to get the Rabi oscillations of the photocurrent through a double-dot etched in a nanowire and embedded in a quantum cavity. A many-body Markovian version of the GME for cavity-coupled systems is also presented.

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“…The geometric phase [12] is an anholonomic of a quantum state which can be applicable in diverse fields of physics. Analyses of the geometric phase can be potentially adopted in characterizing nano properties of nanowires, such as the resonance profiles [13, 14], strong quantum vibrations [15, 16], strain relaxation mechanisms [17, 18], the emergence of Dirac magnetoplasmons [19], and the topology of Aharonov-Bohm oscillations [20].…”

Section: Introductionmentioning

confidence: 99%

Properties of the Geometric Phase in Electromechanical Oscillations of Carbon-Nanotube-Based Nanowire Resonators

Choi

2019

Nanoscale Res Lett

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The geometric phase is an extra phase evolution in the wave function of vibrations that is potentially applicable in a broad range of science and technology. The characteristics of the geometric phase in the squeezed state for a carbon-nanotube-based nanowire resonator have been investigated by means of the invariant operator method. The introduction of a linear invariant operator, which is useful for treating a complicated time-dependent Hamiltonian system, enabled us to derive the analytical formula of the geometric phase. By making use of this, we have analyzed the time behavior of the geometric phase based on relevant illustrations. The influence of squeezing parameters on the evolution of the geometric phase has been investigated. The geometric phase, in large, oscillates, and the envelope of such oscillation increases over time. The rate of the increase of the geometric phase is large when the parameters, such as the classical amplitude of the oscillation, the damping factor, and the amplitude of the driving force, are large. We have confirmed a very sharp increase of the geometric phase over time in the case that the angular frequency of the system reaches near the resonance angular frequency. Our development regarding the characteristics of the geometric phase is crucial for understanding the topological features in nanowire oscillations.

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Thermoelectric current in topological insulator nanowires with impurities

Cited by 7 publications

References 43 publications

Shifted Landau levels in curved graphene sheets

Shifted Landau levels in curved graphene sheets

Generalized Master Equation Approach to Time-Dependent Many-Body Transport

Properties of the Geometric Phase in Electromechanical Oscillations of Carbon-Nanotube-Based Nanowire Resonators

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