Topic
Effective mass (solid-state physics)
About: Effective mass (solid-state physics) is a research topic. Over the lifetime, 12539 publications have been published within this topic receiving 295485 citations.
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TL;DR: In this article, first-principles calculations have been performed to study the mechanical and electronic properties of two-dimensional monolayer GaX (X = S, Se, Te) under strain.
Abstract: First-principles calculations have been performed to study the mechanical and electronic properties of two-dimensional monolayer GaX (X = S, Se, Te) under strain. It was found that the in-plane stiffness decreases from 86 N m−1 for GaS and 68 N m−1 for GaSe to 57 N m−1 for GaTe, which is in good agreement with experimental results and is attributed to the weakening interactions between Ga and X atoms with the increasing atomic number of the X atoms. The band gaps of the GaX monolayers decrease approximately linearly with increasing tensile strain, while the variation in their band gaps with compressive strain does not show linearity, because the conduction band maximum is transferred among several high symmetry k-points. The effective masses of electrons and holes also exhibit strong anisotropy and can be modulated by applying both compressive and tensile strains, which indicates that monolayer GaX could be very useful for device modeling.
64 citations
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TL;DR: In this paper, the impact of band structure on deeply scaled III-V devices by using a self-consistent 20-band -SO semiempirical atomistic tight-binding model was examined.
Abstract: This paper examines the impact of band structure on deeply scaled III-V devices by using a self-consistent 20-band -SO semiempirical atomistic tight-binding model. The density of states and the ballistic transport for both GaAs and InAs ultrathin-body n-MOSFETs are calculated and compared with the commonly used bulk effective mass approximation, including all the valleys (, , and ). Our results show that for III-V semiconductors under strong quantum confinement, the conduction band nonparabolicity affects the confinement effective masses and, therefore, changes the relative importance of different valleys. A parabolic effective mass model with bulk effective masses fails to capture these effects and leads to significant errors, and therefore, a rigorous treatment of the full band structure is required.
64 citations
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TL;DR: The ionization threshold voltage of individual impurities close to a semiconductor-vacuum interface is measured and it is shown experimentally that in the case of silicon doped gallium arsenide the binding energy gradually increases over the last 1.2 nm below the (110) surface.
Abstract: We measured the ionization threshold voltage of individual impurities close to a semiconductor-vacuum interface, where we use the STM tip to ionize individual donors. We observe a reversed order of ionization with depth below the surface, which proves that the binding energy is enhanced towards the surface. This is in contrast to the predicted reduction for a Coulombic impurity in the effective mass approach. We can estimate the binding energy from the ionization threshold and show experimentally that in the case of silicon doped gallium arsenide the binding energy gradually increases over the last 1.2 nm below the (110) surface.
64 citations
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TL;DR: In this paper, the Bloch-state solutions of the stationary Gross-Pitaevskii equation and of the Bogoliubov equations for a Bose-Einstein condensate in the presence of a one-dimensional optical lattice are analyzed as a function of the lattice depth and the strength of the two-body interaction.
Abstract: We discuss the Bloch-state solutions of the stationary Gross-Pitaevskii equation and of the Bogoliubov equations for a Bose-Einstein condensate in the presence of a one-dimensional optical lattice. The results for the compressibility, effective mass and velocity of sound are analysed as a function of the lattice depth and of the strength of the two-body interaction. The band structure of the spectrum of elementary excitations is compared with the one exhibited by the stationary solutions (``Bloch bands''). Moreover, the numerical calculations are compared with the analytic predictions of the tight binding approximation. We also discuss the role of quantum fluctuations and show that the condensate exhibits 3D, 2D or 1D features depending on the lattice depth and on the number of particles occupying each potential well. We finally show how, using a local density approximation, our results can be applied to study the behaviour of the gas in the presence of harmonic trapping.
64 citations
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TL;DR: In this article, the attenuation bandwidth in a one-dimensional finite chain with frequency graded linear internal resonators was investigated and it was shown that a properly tuned frequency graded arrangement of resonating units can extend the upper part of the attenuated band theoretically up to infinity and also increase the lower part of attenuation band by around 40% of an equivalent uniformly periodic metamaterial without increasing the mass.
Abstract: Depending on the frequency, waves can either propagate (transmission band) or be attenuated (attenuation band) while travelling through a one-dimensional spring-mass chain with internal resonators. The literature on wave propagation through a 1D mass-in-mass chain is vast and continues to proliferate because of its versatile applicability in condensed matter physics, optics, chemistry, acoustics, and mechanics. However, in all these areas, a uniformly periodic arrangement of identical linear resonating units is normally used which limits the attenuation band to a narrow frequency range. To counter this limitation of linear uniformly periodic metamaterials, the attenuation bandwidth in a one-dimensional finite chain with frequency graded linear internal resonators are investigated in this paper. The result shows that a properly tuned frequency graded arrangement of resonating units can extend the upper part of the attenuation band of 1D metamaterial theoretically up to infinity and also increases the lower part of the attenuation bandwidth by around 40% of an equivalent uniformly periodic metamaterial without increasing the mass. Therefore, the frequency graded metamaterials can be a potential solution towards low frequency and wideband acoustic or vibration insulation. In addition, this paper provides analytical expressions for the attenuation and transmission frequency limits for a periodic mass-in-mass metamaterial and demonstrates the attenuation band is generated by the high absolute value of the effective mass not only due to the negative effective mass.
64 citations