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We develop a theory of photoluminescence using a time-dependent Hartree-Fock approximation that is appropriate for the two-dimensional Wigner crystal in a strong magnetic field. The cases of localized and itinerant holes are both studied.…

Condensed Matter · Physics 2009-10-22 Dong-Zi Liu , H. A. Fertig , S. Das Sarma

A double-atom partitioning of the molecular one-electron density matrix is used to describe atoms and bonds. All calculations are performed in Hilbert space. The concept of atomic weight functions (familiar from Hirshfeld analysis of the…

A mapping technique is used to derive in the context of constituent quark models effective Hamiltonians that involve explicit hadron degrees of freedom. The technique is based on the ideas of mapping between physical and ideal Fock spaces…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Hadjimichef , G. Krein , S. Szpigel , J. S. da Veiga

The electron-hole states of semiconductor quantum dots are investigated within the framework of empirical tight-binding descriptions for Si, as an example of an indirect gap material, and InAs and CdSe as examples of typical III-V and II-VI…

Condensed Matter · Physics 2009-10-31 Seungwon Lee , Lars Jonsson , John W. Wilkins , Garnett W. Bryant , Gerhard Klimeck

The band inversion transition in a cylindrical HgTe nanowire is inducible via varying the nanowire radius. Here we derive the low-energy effective Hamiltonian describing the band structure of the HgTe nanowire close to the fundamental band…

Mesoscale and Nanoscale Physics · Physics 2025-09-04 Rui Li

We consider finite deformations of the Hull--Strominger system. Starting from the heterotic superpotential, we identify complex coordinates on the off-shell parameter space. Expanding the superpotential around a supersymmetric vacuum leads…

High Energy Physics - Theory · Physics 2022-02-04 Anthony Ashmore , Xenia de la Ossa , Ruben Minasian , Charles Strickland-Constable , Eirik Eik Svanes

For ultrashort VUV pulses with a pulse length comparable to the orbital time of the bound electrons they couple to we propose a simplified envelope Hamiltonian. It is based on the Kramers-Henneberger representation in connection with a…

Atomic Physics · Physics 2018-01-09 Koudai Toyota , Ulf Saalmann , Jan M. Rost

We propose an effective lattice Hamiltonian for monolayer MoS$_2$ in order to describe the low-energy band structure and investigate the effect of perpendicular electric and magnetic fields on its electronic structure. We derive a…

Mesoscale and Nanoscale Physics · Physics 2013-09-04 Habib Rostami , Ali G. Moghaddam , Reza Asgari

An effective Hamiltonian for the Bose subsystem in the mixture of ultracold atomic clouds of bosons and fermions with mutual attractive interaction is used for investigating collective excitation spectrum. The ground state and mode…

Quantum Gases · Physics 2015-05-19 A. M. Belemuk , V. N. Ryzhov

We study the homogeneous interacting hole gas in $p$-doped bulk III-V semiconductors. The structure of the valence band is modelled by Luttinger's Hamiltonian in the spherical approximation, giving rise to heavy and light hole dispersion…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Schliemann

Higgs Effective Field Theory can be used to study vector-boson elastic scattering at the high energies relevant for the LHC. For most of the parameter space, the scattering is strongly interacting, with the minimal Standard Model being a…

High Energy Physics - Phenomenology · Physics 2018-08-15 Rafael L. Delgado , Antonio Dobado , Felipe J. Llanes-Estrada

By using the canonical Hamiltonian method, we obtain the mass and entropy of the black holes with general dynamical coupling constant $\lambda$ in Ho\v{r} ava-Lifshitz Gravity. Regardless of whether the horizon is sphere, plane or…

High Energy Physics - Theory · Physics 2009-09-28 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

We construct an effective Hamiltonian of interacting bosons, based on scattered radiation off vibrational modes of designed molecular architectures. Making use of the infinite yet countable set of spatial modes representing the scattering…

Quantum Physics · Physics 2019-12-30 Shahaf Asban , Shaul Mukamel

It is shown that at low densities, quantum dots with few electrons may be mapped onto effective charge-spin models for the low-energy eigenstates. This is justified by defining a lattice model based on a many-electron pocket-state basis in…

Condensed Matter · Physics 2009-10-28 John H. Jefferson , Wolfgang Häusler

The effective Hamiltonian of strongly correlated electrons on a square lattice is replaced by a renormalised Hamiltonian and the factors that renormalise the kinetic energy of holes and the Heisenberg spin-spin coupling are calculated using…

Strongly Correlated Electrons · Physics 2007-05-23 F. C. Zhang , C. Gros , T. M. Rice , H. Shiba

Keeping in view the ordering ambiguity that arises due to the presence of position-dependent effective mass in the kinetic energy term of the Hamiltonian, a general scheme for obtaining algebraic solutions of quantum mechanical systems with…

Quantum Physics · Physics 2016-06-29 Naila Amir , Shahid Iqbal

To test effective Hamiltonians for strongly interacting fermions in an optical lattice, we numerically find the energy spectrum for two fermions interacting across a Feshbach resonance in a double well potential. From the spectrum, we…

Quantum Gases · Physics 2010-04-22 J. P. Kestner , L. -M. Duan

We theoretically investigate hole spins confined in a gate-defined quantum dot (QD) embedded in GeSn/Ge/GeSn quantum well (QW) structure. Owing to the tensile strain in the Ge layer, the system effectively realizes a light-hole qubit. We…

Mesoscale and Nanoscale Physics · Physics 2025-07-18 Agnieszka Miętkiewicz , Jakub Ziembicki , Krzysztof Gawarecki

We propose a lattice density-functional theory for {\it ab initio} quantum chemistry or physics as a route to an efficient approach that approximates the full configuration interaction energy and orbital occupations for molecules with…

Strongly Correlated Electrons · Physics 2019-04-19 J. P. Coe

By combining the tetrahedron method with the cluster perturbation theory (CPT), we present an accurate method to numerically calculate the density of states of interacting fermions without introducing the Lorentzian broadening parameter…

Strongly Correlated Electrons · Physics 2016-06-09 Kazuhiro Seki , Seiji Yunoki