Publication

Modeling the imaginary branch in III-V tunneling devices: Effective mass vs k.p

Mihai Adrian Ionescu
2015
Conference Papers

Abstract

In this work we extend an effective mass model for computing the drain current of tunnel-FETs to account for the anti-crossing of the light- and heavy-hole branches of the valence band. The model is validated by comparison with NEGF simulations based on a k · p Hamiltonian. Application of the new model to the electron-hole bilayer TFET is provided showing that the inclusion of the asymmetry of the real and imaginary branches of the hole dispersion relation is critical in determining the device characteristics. © 2015 IEEE.

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https://infoscience.epfl.ch/entities/publication/47ec9453-9d3b-4671-93a7-0e6ed4a176ac

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Mihai Adrian Ionescu
2015
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/47ec9453-9d3b-4671-93a7-0e6ed4a176ac

About this result

Related concepts (32)

Complex logarithm

In mathematics, a complex logarithm is a generalization of the natural logarithm to nonzero complex numbers. The term refers to one of the following, which are strongly related: A complex logarithm of a nonzero complex number , defined to be any complex number for which . Such a number is denoted by . If is given in polar form as , where and are real numbers with , then is one logarithm of , and all the complex logarithms of are exactly the numbers of the form for integers .

Principal branch

In mathematics, a principal branch is a function which selects one branch ("slice") of a multi-valued function. Most often, this applies to functions defined on the complex plane. Principal branches are used in the definition of many inverse trigonometric functions, such as the selection either to define that or that A more familiar principal branch function, limited to real numbers, is that of a positive real number raised to the power of 1/2. For example, take the relation y = x1/2, where x is any positive real number.

Imaginary unit

The imaginary unit or unit imaginary number (i) is a solution to the quadratic equation . Although there is no real number with this property, i can be used to extend the real numbers to what are called complex numbers, using addition and multiplication. A simple example of the use of i in a complex number is . Imaginary numbers are an important mathematical concept; they extend the real number system to the complex number system , in which at least one root for every nonconstant polynomial exists (see Algebraic closure and Fundamental theorem of algebra).

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Modeling the imaginary branch in III-V tunneling devices: Effective mass vs k.p

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