Lattice Green’s function approach to the solution of the spectrum of an array of quantum dots and its linear conductance

Peres, N. M. R.; Stauber, T.; Santos, J. M. B. Lopes dos

doi:10.1103/physrevb.79.035107

Cited by 10 publications

(7 citation statements)

References 60 publications

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“…The conductance can be evaluated from the transmission probabilities of up and down spin electrons following the Landauer definition, whereas spin-dependent transmission probabilities are computed with the help of the well known non-equilibrium Green’s function (NEGF) technique [ 80 ]. In the NEGF approach, the effects of the side attached electrodes are incorporated through finite dimensional self-energy matrices, and the effective Green’s functions are [ 80 , 81 , 82 , 83 , 84 ]

where E is the energy of an incident electron and I represents the identity matrix. All of the matrices in Equation ( 7 ) are of the dimension

.…”

Section: Magnetoresistance Setup and Theoretical Frameworkmentioning

confidence: 99%

Possible Routes to Obtain Enhanced Magnetoresistance in a Driven Quantum Heterostructure with a Quasi-Periodic Spacer

et al. 2021

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In this work, we perform a numerical study of magnetoresistance in a one-dimensional quantum heterostructure, where the change in electrical resistance is measured between parallel and antiparallel configurations of magnetic layers. This layered structure also incorporates a non-magnetic spacer, subjected to quasi-periodic potentials, which is centrally clamped between two ferromagnetic layers. The efficiency of the magnetoresistance is further tuned by injecting unpolarized light on top of the two sided magnetic layers. Modulating the characteristic properties of different layers, the value of magnetoresistance can be enhanced significantly. The site energies of the spacer is modified through the well-known Aubry–André and Harper (AAH) potential, and the hopping parameter of magnetic layers is renormalized due to light irradiation. We describe the Hamiltonian of the layered structure within a tight-binding (TB) framework and investigate the transport properties through this nanojunction following Green’s function formalism. The Floquet–Bloch (FB) anstaz within the minimal coupling scheme is introduced to incorporate the effect of light irradiation in TB Hamiltonian. Several interesting features of magnetotransport properties are represented considering the interplay between cosine modulated site energies of the central region and the hopping integral of the magnetic regions that are subjected to light irradiation. Finally, the effect of temperature on magnetoresistance is also investigated to make the model more realistic and suitable for device designing. Our analysis is purely a numerical one, and it leads to some fundamental prescriptions of obtaining enhanced magnetoresistance in multilayered systems.

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where E is the energy of an incident electron and I represents the identity matrix. All of the matrices in Equation ( 7 ) are of the dimension

.…”

Section: Magnetoresistance Setup and Theoretical Frameworkmentioning

confidence: 99%

Possible Routes to Obtain Enhanced Magnetoresistance in a Driven Quantum Heterostructure with a Quasi-Periodic Spacer

et al. 2021

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“…where U k (x) denote the Chebyshev polynomials of the second kind. [20][21][22] This expression holds for k ≤ m, for m > k we just have to interchange the indices. An alternative calculation can be performed using the functional integral formalism.…”

Section: Basics: 1d Tight-binding Chainmentioning

confidence: 99%

Analytical results for the Green's functions of lattice fermions

Komnik

Heinze

2017

Phys. Rev. B

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We present a further development of methods for analytical calculations of Green's functions of lattice fermions based on recurrence relations. Applying it to tight-binding systems and topological superconductors in different dimensions we obtain a number of new results. In particular we derive an explicit expression for arbitrary Green's function of an open Kitaev chain and discover non-local fermionic corner states in a 2D p-wave superconductor. PACS numbers: 73.20.-r, 71.15.-m, 71.20.-b, 02.10.Yn arXiv:1706.06463v1 [cond-mat.mes-hall]

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“…At first sight, Eq. ( 33) does not look like the surface Green's function of a semi-infinite one-dimensional chain (that is because we used two atoms per unit cell for the metal) [20], however simple algebraic manipulations show that (G + RR ) 11 can be put in the known form…”

Section: Local Electronic Properties At Equilibriummentioning

confidence: 99%

Analytical study of non-linear transport across a semiconductor-metal junction

Peres

2009

Eur. Phys. J. B

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In this paper we study analytically a one-dimensional model for a semiconductor-metal junction.We study the formation of Tamm states and how they evolve when the semi-infinite semiconductor and metal are coupled together. The non-linear current, as a function of the bias voltage, is studied using the non-equilibrium Green's function method and the density matrix of the interface is given. The electronic occupation of the sites defining the interface has strong non-linearities as function of the bias voltage due to strong resonances present in the Green's functions of the junction sites. The surface Green's function is computed analytically by solving a quadratic matrix equation, which does not require adding a small imaginary constant to the energy. The wave function for the surface states is given.The electronic properties of surfaces and interfaces has many fascinating features, associated with the formation of surface states, modification of the band structure and corresponding density of states, and electronic transport [1]. Strongly localized surface states are known since a long time to be present at the interface of semiconductors and metals [2] and have been shown to influence the conductance of scanning tunneling microscopy (a quasione-dimensional process) [3]. Also these states have re-

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Lattice Green’s function approach to the solution of the spectrum of an array of quantum dots and its linear conductance

Cited by 10 publications

References 60 publications

Possible Routes to Obtain Enhanced Magnetoresistance in a Driven Quantum Heterostructure with a Quasi-Periodic Spacer

Possible Routes to Obtain Enhanced Magnetoresistance in a Driven Quantum Heterostructure with a Quasi-Periodic Spacer

Analytical results for the Green's functions of lattice fermions

Analytical study of non-linear transport across a semiconductor-metal junction

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