Microscopic surface diffusivity theory based on atomic ionization energy concept is developed to ... more Microscopic surface diffusivity theory based on atomic ionization energy concept is developed to explain the variations of the atomic and displacement polarizations with respect to the surface diffusion activation energy of adatoms in the process of self-assembly of quantum dots on plasma-exposed surfaces. These polarizations are derived classically, while the atomic polarization is quantized to obtain the microscopic atomic polarizability. The surface diffusivity equation is derived as a function of the ionization energy. The results of this work can be used to fine-tune the delivery rates of different adatoms onto nanostructure growth surfaces and optimize the low-temperature plasma based nanoscale synthesis processes.
ABSTRACT Weakly interacting Fermi liquid can exhibit integer or fractional quantum Hall effect at... more ABSTRACT Weakly interacting Fermi liquid can exhibit integer or fractional quantum Hall effect at sufficiently low temperatures, and in the presence of variable applied magnetic and/or electric fields. The said effects have been captured only incompletely by means of the Klitzing conductance formula, multiplied by the dimensionless filling factor (integer or fractional), ν because scattering rate cannot be absent for any conductor that is neither a perfect conductor at zero Kelvin (in the absence of phonons, scattering rate, Cooper pairing and Meissner effect) nor a superconductor. Here, we shall derive the proper microscopic resistance formula based on the notion of Pancharatnam phase retardation that captures both integer and fractional quantum Hall effects. We then compute the Planck constant from the Pancharatnam resistance formula, as well as provide a formal proof for this new formula. We shall unambiguously elaborate why the Pancharatnam resistance formula gives the complete physics of electron transport phenomena responsible for the quantum Hall effects, which include the changes to longitudinal and Hall resistance, as well as the temperature effect.
Microscopic mechanism for cation selectivity in three different ion channels is proposed using io... more Microscopic mechanism for cation selectivity in three different ion channels is proposed using ionization energy theory supported by experimental data.
Doping-dependent resistivity and carrier-type transition in (Bi1−xSbx)2Te3topological insulators ... more Doping-dependent resistivity and carrier-type transition in (Bi1−xSbx)2Te3topological insulators are evaluated using the ionization energy theory supported by experimental data.
Einstein, Podolski and Rosen (EPR) have shown that any wave function (subject to the Schrödinger ... more Einstein, Podolski and Rosen (EPR) have shown that any wave function (subject to the Schrödinger equation) can describe the physical reality completely, and any two observables associated to two non-commuting operators can have simultaneous reality. In contrast, quantum theory claims that the wave function can capture the physical reality completely, and the physical quantities associated to two non-commuting operators cannot have simultaneous reality. The above contradiction is known as the EPR paradox. Here, we unambiguously expose that there is a hidden assumption made by EPR, which gives rise to this famous paradox. Putting the assumption right this time leads us not to the paradox, but only reinforces the correctness of the quantum theory. However, it is shown here that the entanglement phenomenon between two physically separated particles (they were entangled prior to separation) can only be proven to exist with a "proper" measurement.
We develop a microscopic theory for self-assembled quantum dots based on the ionization energy th... more We develop a microscopic theory for self-assembled quantum dots based on the ionization energy theory. We start from the Hamiltonian with Yukawa-type potential functional and relate the ionization energy to quantum dot's size and atomic composition. Subsequently, we explain the evolution of photoluminescence energy-peaks with respect to both size and atomic composition. We also re-examine the recent controversy on the quantum dot's dephasing mechanism by isolating the quantum dots both electronically and adiabatically from its substrate. We find that when the quantum dots phonons are isolated adiabatically from its substrate's phonons, by using the appropriate limits for the ionization energy, the elastic or pure dephasing becomes the dominant mechanism. On the other hand, for the case where the phonons from the substrate are non-adiabatically associated to the quantum dots, the inelastic dephasing process takes over. This switch-over is due to different atomic composition in quantum dots as compared to its substrate that can be easily take into account with our theory. We further justify our theory with experimental results reported earlier.
1-dimensional hamiltonian with ionization energy (EI) is shown to be exactly the same with the to... more 1-dimensional hamiltonian with ionization energy (EI) is shown to be exactly the same with the total energy from the standard harmonic oscillator hamiltonian, with the harmonic oscillator potential, mw^2x^2/2. Commutation relations for the ladder operators, energy at the nth state and the expectation value for the potential are analyzed and shown to be consistent with the principle of EI . Formal justifications are given as to why EI based Fermi-Dirac statistics was able to predict the doping-dependent related transport and dielectric properties of normal state cuprate superconductors and Ba,Sr,Ca-TiO3 ferroelectrics, respectively.
Microscopic surface diffusivity theory based on atomic ionization energy concept is developed to ... more Microscopic surface diffusivity theory based on atomic ionization energy concept is developed to explain the variations of the atomic and displacement polarizations with respect to the surface diffusion activation energy of adatoms in the process of self-assembly of quantum dots on plasma-exposed surfaces. These polarizations are derived classically, while the atomic polarization is quantized to obtain the microscopic atomic polarizability. The surface diffusivity equation is derived as a function of the ionization energy. The results of this work can be used to fine-tune the delivery rates of different adatoms onto nanostructure growth surfaces and optimize the low-temperature plasma based nanoscale synthesis processes.
ABSTRACT Weakly interacting Fermi liquid can exhibit integer or fractional quantum Hall effect at... more ABSTRACT Weakly interacting Fermi liquid can exhibit integer or fractional quantum Hall effect at sufficiently low temperatures, and in the presence of variable applied magnetic and/or electric fields. The said effects have been captured only incompletely by means of the Klitzing conductance formula, multiplied by the dimensionless filling factor (integer or fractional), ν because scattering rate cannot be absent for any conductor that is neither a perfect conductor at zero Kelvin (in the absence of phonons, scattering rate, Cooper pairing and Meissner effect) nor a superconductor. Here, we shall derive the proper microscopic resistance formula based on the notion of Pancharatnam phase retardation that captures both integer and fractional quantum Hall effects. We then compute the Planck constant from the Pancharatnam resistance formula, as well as provide a formal proof for this new formula. We shall unambiguously elaborate why the Pancharatnam resistance formula gives the complete physics of electron transport phenomena responsible for the quantum Hall effects, which include the changes to longitudinal and Hall resistance, as well as the temperature effect.
Microscopic mechanism for cation selectivity in three different ion channels is proposed using io... more Microscopic mechanism for cation selectivity in three different ion channels is proposed using ionization energy theory supported by experimental data.
Doping-dependent resistivity and carrier-type transition in (Bi1−xSbx)2Te3topological insulators ... more Doping-dependent resistivity and carrier-type transition in (Bi1−xSbx)2Te3topological insulators are evaluated using the ionization energy theory supported by experimental data.
Einstein, Podolski and Rosen (EPR) have shown that any wave function (subject to the Schrödinger ... more Einstein, Podolski and Rosen (EPR) have shown that any wave function (subject to the Schrödinger equation) can describe the physical reality completely, and any two observables associated to two non-commuting operators can have simultaneous reality. In contrast, quantum theory claims that the wave function can capture the physical reality completely, and the physical quantities associated to two non-commuting operators cannot have simultaneous reality. The above contradiction is known as the EPR paradox. Here, we unambiguously expose that there is a hidden assumption made by EPR, which gives rise to this famous paradox. Putting the assumption right this time leads us not to the paradox, but only reinforces the correctness of the quantum theory. However, it is shown here that the entanglement phenomenon between two physically separated particles (they were entangled prior to separation) can only be proven to exist with a "proper" measurement.
We develop a microscopic theory for self-assembled quantum dots based on the ionization energy th... more We develop a microscopic theory for self-assembled quantum dots based on the ionization energy theory. We start from the Hamiltonian with Yukawa-type potential functional and relate the ionization energy to quantum dot's size and atomic composition. Subsequently, we explain the evolution of photoluminescence energy-peaks with respect to both size and atomic composition. We also re-examine the recent controversy on the quantum dot's dephasing mechanism by isolating the quantum dots both electronically and adiabatically from its substrate. We find that when the quantum dots phonons are isolated adiabatically from its substrate's phonons, by using the appropriate limits for the ionization energy, the elastic or pure dephasing becomes the dominant mechanism. On the other hand, for the case where the phonons from the substrate are non-adiabatically associated to the quantum dots, the inelastic dephasing process takes over. This switch-over is due to different atomic composition in quantum dots as compared to its substrate that can be easily take into account with our theory. We further justify our theory with experimental results reported earlier.
1-dimensional hamiltonian with ionization energy (EI) is shown to be exactly the same with the to... more 1-dimensional hamiltonian with ionization energy (EI) is shown to be exactly the same with the total energy from the standard harmonic oscillator hamiltonian, with the harmonic oscillator potential, mw^2x^2/2. Commutation relations for the ladder operators, energy at the nth state and the expectation value for the potential are analyzed and shown to be consistent with the principle of EI . Formal justifications are given as to why EI based Fermi-Dirac statistics was able to predict the doping-dependent related transport and dielectric properties of normal state cuprate superconductors and Ba,Sr,Ca-TiO3 ferroelectrics, respectively.
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