Local density of states in double-barrier resonant-tunneling structures

Bahder, Thomas B.; Bruno, John D.; Hay, R.G.; Morrison, Clyde A.

doi:10.1103/physrevb.37.6256

Cited by 23 publications

(6 citation statements)

References 17 publications

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“…An approximate and simple expression of the change in the density of states (DOS) n(E) is given by Trzeciakowski et al [11] for single-and double-barrier structures. The local DOS is also analysed in the same structure by Bahder et al [12]. These DOSs are obtained by calculating the eigenfunctions of an effective-mass Schrödinger equation.…”

Section: The Green Function Calculationmentioning

confidence: 99%

Resonant states in quantum wells: theoretical analysis of the density of states and phase times

Hammouchi

Boudouti

Nougaoui

et al. 1998

J. Phys.: Condens. Matter

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The existence of sharp resonant states in a single quantum well separated from its semi-infinite substrate by a barrier layer is reported here. These resonances appear as well defined peaks in the density of states. The local and total densities of states are obtained from an analytical determination of the Green functions. The expressions of the transmission and reflection phase times are also derived and compared to the density of states. The positions of the peaks in the density of states enable us to study the energy levels of resonant states as a function of the thicknesses of the barrier and well layers. Specific applications of our analytical results are given in this paper for a bilayer sandwiched between two semi-infinite GaAs and media.

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Section: The Green Function Calculationmentioning

confidence: 99%

Resonant states in quantum wells: theoretical analysis of the density of states and phase times

Hammouchi

Boudouti

Nougaoui

et al. 1998

J. Phys.: Condens. Matter

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“…Due to the structure of the potential, the density of states has peaks which are correlated with this structure. We calculated the density of continuum states for the oneelectron hamiltonian in Eq.2 (used also for the lifetime calculations) at different distances by choosing vanishing boundary condition in a large box ψ(x = ±L/2) = 0 [39,40]. We evaluate numerically the one dimensional density of states in the energy of the continuum states i.e.…”

Section: Resultsmentioning

confidence: 99%

Interatomic Coulombic decay in two coupled quantum wells

et al. 2015

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Interatomic coulombic decay (ICD) is a relaxation process induced by electronic correlation. In this work we study the ICD process in a two coupled Quantum wells (QWs) nano-structure. We study a simple one-dimensional effective potential using experimental parameters of the semiconductor QW layers i.e. using the single band effective-mass approximation . In our calculations we consider the discontinuity of the effective mass of the electron in each of the QW layers. We control the ICD lifetime by changing the distance between the two wells. The expected overall trend is a decrease of ICD lifetime with a decrease in the distance between the wells. We show that the distance can be tuned such that the emitted ICD electron is trapped in a meta-stable state in the continuum i.e. a one electron resonance state. This causes the life time of the ICD to be an order of magnitude smaller even in very long distances, and improves the efficiency of the ICD. For the ICD to be dominant decay mechanism it must prevail over all other possible competitive decay processes. We have found that the lifetime of the ICD is on the timescale of picoseconds. Therefore, based on our results we can design an experiment that will observe the ICD phenomenon in QWs nano-structure for the first time. This work can lead to designing a wavelength sensitive detector which is efficient even in low intensities.

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“…5,6 The vanishing boundary conditions at ϭL and zϭϮL z /2 determine ␣ mn for each mth azimuthal quantum number and ␤ l for each parity index , respectively, resulting in the energy eigenvalue ⑀ n,m;,l ϭប 2 ␣ mn 2 /2m*ϩប 2 ␤ l 2 /2m*. Here, n and l are the radial and z-direction quantum numbers, respectively.…”

Section: Dimensional Crossover In Cylindrical Quantum-box Structures mentioning

confidence: 98%

“…5,6 By taking into account the boundary condition at ϭa, 7 we obtain a͒ Author to whom correspondence should be addressed; electronic mail:…”

Section: Dimensional Crossover In Cylindrical Quantum-box Structures mentioning

confidence: 99%

“…5,6 We are interested in the DOS within the box region defined by Ͻa and ͉z͉Ͻb. The local density of states at a particular position r is defined in terms of the normalized wave function and the corresponding energy eigenvalues as N(r,E)ϭ2 ͚ n,m ͚ ,l ͉ nml (r)͉ 2 ␦(EϪ⑀ nml ), where the factor 2 implies spin degeneracy.…”

Section: Dimensional Crossover In Cylindrical Quantum-box Structures mentioning

confidence: 99%

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Dimensional crossover in cylindrical quantum-box structures formed by penetrable barriers

Souma

Lee

Kim

et al. 2002

Journal of Applied Physics

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We study the density of states (DOS) in a cylindrical quantum box formed by a cylindrical penetrable barrier and a planer penetrable double barrier perpendicular to the cylinder. The control of the cylindrical barrier thickness or height is found to cause the dimensional transitions from a three-dimensional (3D) DOS to a quasi-one-dimensional (Q1D) DOS and from a quasi-two-dimensional (Q2D) DOS to a quasi-zero-dimensional (Q0D) DOS, if the strength of the planer double barrier is zero and infinity, respectively. In between the 3D and the Q1D (Q2D and Q0D) limiting regimes, we found the presence of a Q2D (Q1D) like crossover regime.

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Local density of states in double-barrier resonant-tunneling structures

Cited by 23 publications

References 17 publications

Resonant states in quantum wells: theoretical analysis of the density of states and phase times

Resonant states in quantum wells: theoretical analysis of the density of states and phase times

Interatomic Coulombic decay in two coupled quantum wells

Dimensional crossover in cylindrical quantum-box structures formed by penetrable barriers

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