Different Screening Constants for Different Physical Properties, I
Wave functions with embedded screening constants for quantum mechanical ground state calculations on two-electron atom with nuclear charge
GROUND STATE↗
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Oscillator strengths and collision strengths for neutral sulfur
Configuration-interaction target wave functions are used in the present calculation of collision strengths, for electron impact excitation of neutral sulfur from the group 3p4 3P state to excited states 3p3 4s 3S0, 3p3(4S0)3d 3D0, and 3p3 4s 3P0, in a close coupling approximation for the energy range up to 1,000,000 K. Configuration-interaction target wave functions are used in the calculation of collision strengths, and oscillator strengths for various triplet transitions are reported together with transitions between 3p4 1D and 3p4 1S and other singlet-excited states.
Ho, Y. K.↗
Defect-induced exciton localization in bulk gallium nitride from many-body perturbation theory
We present a many-body perturbation theory study of the excitonic properties of wurtzite GaN containing a single charged nitrogen vacancy. We determine that the lowest-energy exciton consists of a bulk to defect transition, resulting in a slight redshift (<0.1 eV) of the optical absorption onset and a 50 meV increase in the exciton binding energy when compared with pristine bulk. Furthermore, by analysis of the electron-hole correlation function, we quantify the defect-induced localization of the Wannier-Mott exciton in two ways. First, we show that the electron-hole separation is reduced, and that the exciton envelope wave function can be related to a simple model of a defect-bound exciton. Second, we show that the exciton center-of-mass does not display the periodicity of the lattice due to defect-induced localization. We anticipate that our approach, which quantitatively describes the influence of a point defect on the exciton wave function, will be generally applicable.
36 MATERIALS SCIENCE↗
Quantum-classical hybrid algorithm for the simulation of all-electron correlation
While chemical systems containing hundreds to thousands of electrons remain beyond the reach of quantum devices, hybrid quantum-classical algorithms present a promising pathway toward a quantum advantage. Hybrid algorithms treat the exponentially scaling part of the calculation-the static correlation-on the quantum computer and the non-exponentially scaling part-the dynamic correlation-on the classical computer. While a variety of algorithms have been proposed, the dependence of many methods on the total wave function limits the development of easy-to-use classical post-processing implementations. Here, we present a novel combination of quantum and classical algorithms, which computes the all-electron energy of a strongly correlated molecular system on the classical computer from the 2-electron reduced density matrix (2-RDM) evaluated on the quantum device. Significantly, we circumvent the wave function in the all-electron calculations by using density matrix methods that only require input of the statically correlated 2-RDM. Although the algorithm is completely general, we test it with two classical density matrix methods, the anti-Hermitian contracted Schrödinger equation (ACSE) and multiconfiguration pair-density functional theories, using the recently developed quantum ACSE method for simulating the statically correlated 2-RDM. Furthermore, we obtain experimental accuracy for the relative energies of all three benzyne isomers and thereby demonstrate the ability of the developed algorithm to achieve chemically relevant and accurate results on noisy intermediate-scale quantum devices.
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
The Gutzwiller conjugate gradient minimization method for correlated electron systems
In this report we review our recent work on the Gutzwiller conjugate gradient minimization method, an ab initio approach developed for correlated electron systems. The complete formalism has been outlined that allows for a systematic understanding of the method, followed by a discussion of benchmark studies of dimers, one- and two-dimensional single-band Hubbard models. In the end, we present some preliminary results of multi-band Hubbard models and large-basis calculations of F 2 to illustrate our efforts to further reduce the computational complexity.
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗
First principle study of structural, electronic, optical, and transport properties of ternary compounds NaGaX{sub 2} (X = S, Se, and Te) in tetragonal chalcopyrite phase
Eemploying the all electron full potential linearized augmented plane wave plus local orbital (FP-LAPW + lo) method based on density functional theory (DFT) structural, electronic, optical, and transport properties of compounds NaGaX{sub 2} (X = S, Se, and Te) in tetragonal phase have been investigated at ground state. The exchange-correlation effects have been included using the Wu Cohen (WC) generalized gradient approximation (GGA) and modified Becke–Johnson (mBJ) exchange potentials. Enthalpy of formation values ensure that crystal structures are stable in tetragonal chalcopyrite phase. Total and partial density of states, and band structures have been plotted to calculate electronic properties which exhibits direct band gap for all compounds. The electronic band gap of NaGaS{sub 2} (2.1 eV) is found to be higher than the electronic band gaps of NaGaSe{sub 2} (1.7 eV) and NaGaTe{sub 2} (1.2 eV) compounds. Using real and imaginary parts of the dielectric function, optical properties such as refractive index (n), extinction coefficient (k), reflectivity (R), absorption coefficient (α), and energy loss spectrum (L) were determined. Transport properties like Seebeck coefficient, thermal and electrical conductivities, figure of merit, and power factors have also been reported by combining the results from DFT and Boltzmann transport theory. The high absorption peaks in visible and ultraviolet regions of the energy spectrum and direct band gaps of these compounds ensure that three compounds are promising materials for photovoltaic applications.
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
General contraction of Gaussian basis sets. Part 2: Atomic natural orbitals and the calculation of atomic and molecular properties
A recently proposed scheme for using natural orbitals from atomic configuration interaction (CI) wave functions as a basis set for linear combination of atomic orbitals (LCAO) calculations is extended for the calculation of molecular properties. For one-electron properties like multipole moments, which are determined largely by the outermost regions of the molecular wave function, it is necessary to increase the flexibility of the basis in these regions. This is most easily done by uncontracting the outmost Gaussian primitives, and/or by adding diffuse primitives. A similar approach can be employed for the calculation of polarizabilities. Properties which are not dominated by the long-range part of the wave function, such as spectroscopic constants or electric field gradients at the nucleus, can generally be treated satisfactorily with the original atomic natural orbital (ANO) sets.
Almloef, Jan↗
General contraction of Gaussian basis sets. II - Atomic natural orbitals and the calculation of atomic and molecular properties
A recently proposed scheme for using natural orbitals from atomic configuration interaction wave functions as a basis set for linear combination of atomic orbitals (LCAO) calculations is extended for the calculation of molecular properties. For one-electron properties like multipole moments, which are determined largely by the outermost regions of the molecular wave function, it is necessary to increase the flexibility of the basis in these regions. This is most easily done by uncontracting the outermost Gaussian primitives, and/or by adding diffuse primitives. A similar approach can be employed for the calculation of polarizabilities. Properties which are not dominated by the long-range part of the wave function, such as spectroscopic constants or electric field gradients at the nucleus, can generally be treated satisfactorily with the original atomic natural orbital sets.
Almlof, Jan↗
Intrinsic and doping-enhanced superconductivity in monolayer 1 H − TaS 2 : Critical role of charge ordering and spin-orbit coupling
The interplay of superconductivity with charge density wave (CDW) in metallic transition-metal dichalcogenides has been widely debated, and viable strategies manipulating these quantum states in the two-dimensional (2D) limit remain unclear. Using the ab initio anisotropic Migdal-Eliashberg theory, we successfully explain the superconductivity observed in monolayer 1H-TaS 2 by simultaneously determining its precise CDW structure and treating the marked modification of electron-phonon interaction and critical temperature T c by spin-orbit coupling effects. With this paradigm, we further show that electron doping weakens the CDW order leading to increased T c up to 11 K, along with a single-gap to two-gap superconductivity transition due to the suppression of the CDW gap. By contrast, a low hole doping barely affects the CDW but still yields a significantly enhanced superconducting order, implying their good coexistence. Combined with the synergistic behavior of CDW and superconductivity, which cooperate upon TaS 2 thickness reduction causing an unusual rise of T c , our results unravel diversified interactions between the two collective orders in ultrathin TaS 2 , being competition, coexistence or cooperation depending on external stimuli, which provide key clues for controlling correlated states in devices based on 2D CDW superconductors.
36 MATERIALS SCIENCE↗
Quantum Chemical Treatment of Strongly Correlated Magnetic Systems Based on Heavy Elements. Final Report
The objective of this project over the years has been to develop novel quantum chemical methods and employ them to study the chemistry of systems containing actinides, and transactinides. We have focused on their electronic and spectroscopic properties, their reactivity and utilization as single molecule magnets. We have developed wave-function based methods that are optimal to treat strongly correlated systems, namely systems with many electronic configurations that are all important and should be treated on an equal foot. Moreover, relativistic effects have to be included in the model, with special focus on spin-orbit coupling. We have derived our theories and developed our codes and made them available to the community as parts of open source packages. We have modelled systems in collaboration with experimentalists in the program, so that we could address some of the questions that are relevant to this community. We have also worked in collaboration with people at Lawrence Livermore National Laboratories on a project on super-heavy atoms. We hope that our theoretical predictions will inspire novel experiments. We have trained about 10 students/postdocs during this period, which are now faculty, researchers at national laboratories and in companies.
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
Proton-beam stopping in hydrogen
The stopping cross section for protons passing through hydrogen is calculated for the energy range between 10 keV and 3 MeV. Both the positive and neutral charge states of the projectile are accounted for. The two-center convergent close-coupling method is used to model proton collisions with hydrogen. In this approach, electron-capture channels are explicitly included by expanding the scattering wave function in a basis of both target and projectile pseudostates. Hydrogen collisions with hydrogen are modeled using two methods: the single-center convergent close-coupling approach is used for the calculation of one-electron processes, while two-electron processes are calculated using the Born approximation. The aforementioned approaches are also applied to the calculation of the charge-state fractions. Furthermore, these are then used to combine the proton-hydrogen and hydrogen-hydrogen stopping cross sections to yield the total stopping cross section for protons passing through hydrogen.
74 ATOMIC AND MOLECULAR PHYSICS↗
Realizing nearly-free-electron like conduction band in a molecular film through mediating intermolecular van der Waals interactions
Collective molecular physical properties can be enhanced from their intrinsic characteristics by templating at material interfaces. Here we report how a black phosphorous (BP) substrate concatenates a nearly-free-electron (NFE) like conduction band of a C 60 monolayer. Scanning tunneling microscopy reveals the C 60 lowest unoccupied molecular orbital (LUMO) band is strongly delocalized in two-dimensions, which is unprecedented for a molecular semiconductor. Experiment and theory show van der Waals forces between C 60 and BP reduce the inter-C 60 distance and cause mutual orientation, thereby optimizing the π-π wave function overlap and forming the NFE-like band. Electronic structure and carrier mobility calculations predict that the NFE band of C 60 acquires an effective mass of 0.53–0.70 m e ( m e is the mass of free electrons), and has carrier mobility of ~200 to 440 cm 2 V -1 s -1 . The substrate-mediated intermolecular van der Waals interactions provide a route to enhance charge delocalization in fullerenes and other organic semiconductors.
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗
Wave packet motion in harmonic potential and computer visualization
Wave packet motions of a single electron in harmonic potentials or a magnetic field are obtained analytically. The phase of the wave function which depends on both time and space is also presented explicitly. The probability density of the electron changes its width and central position periodically. These results are visualized using computer animation techniques.
Tsuru, Hideo↗
Unconventional Z n parton states at ν=7/3: Role of finite width
A recent work [Balram, Jain, and Barkeshli, Phys. Rev. Res. 2, 013349 (2020)] has suggested that an unconventional state describing Zn superconductivity of composite bosons, which supports excitations with charge 1/(3n) of the electron charge, is energetically better than the Laughlin wave function at \nu=7/3 in GaAs systems. All experiments to date, however, are consistent with the latter. To address this discrepancy, we study the effect of finite width on the ground state and predict a phase transition from an unconventional Zn state at small widths to the Laughlin state for widths exceeding ~1.5 magnetic lengths. Here, we also determine the parameter region where an unconventional state is stabilized in the one-third filled zeroth Landau level in bilayer graphene. The roles of Landau level mixing and spin are also considered.
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗
Oscillator Strengths and High Accuracy Wave Functions for Neutral Helium
Central field wave functions for oscillator strength computations in two-electron helium system
OSCILLATOR↗
Excitation cross sections for some of the states of 2p super 4 -3p configuration of neon 4p super 4 -5p configuration of krypton.
Excitation cross sections for upper electron states of neon and krypton lasers, obtaining wave functions
Koozekanani, S.↗
Deformed Brueckner-Hartree-Fock calculations.
The renormalized Brueckner-Hartree-Fock (RBHF) theory for many-body nuclear systems has been generalized to permit calculations for intrinsic states having permanent deformation. Both Hartree-Fock and Brueckner self-consistencies are satisfied, and details of the numerical techniques are discussed. The Hamada-Johnston interaction is used in a study of deformations, binding, size, and separation energies for several nuclei. Electromagnetic transition rates, moments, and electron scattering form factors are calculated using nuclear wave functions obtained by angular momentum projection. Comparison is made to experiment as well as to predictions of ordinary and density-dependent Hartree-Fock theory.
Ford, W. F.↗
Fluctuations of inverted V electron fluxes
Fluctuations of low-energy electron fluxes during an inverted V event on Nov. 5, 1975 were detected by fixed-energy electrostatic analyzers used in the LEE (low-energy electron) experiment onboard the AE-D satellite. The flux fluctuations were observed at energies of 0.78, 1.38, and 2.62 keV, when these energies were below that of the monoenergetic beam. This suggests that the fluctuations might occur over a wide range of energies. The fluctuations were confined within a pitch angle of 15 degrees, the amplitude increasing with decreasing pitch angle. The oscillation frequencies centered around 1.75 Hz. Fluctuations at two energies were generally correlated. The heating of secondary electrons, deduced from an analysis of the distribution function, is attributed to anomalous heating by electron plasma wave turbulence, whose intensity was modulated by a low-frequency wave. The results are consistent with a model, according to which auroral precipitating electron beams enhance the anomalous resistivity at the topside ionosphere through parametric instabilities.
Lin, C. S.↗