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We discuss recent \emph{ab initio} calculations based on self-consistent Green's function theory. It is found that a simple extension of the formalism to account for two-nucleon scattering outside the model space allows to calculate…

Nuclear Theory · Physics 2018-03-14 Carlo Barbieri , Francesco Raimondi , Christopher McIlroy

We calculate spectral functions within the t-J model as relevant to cuprates in the regime from low to optimum doping. On the basis of equations of motion for projected operators an effective spin-fermion coupling is derived. The self…

Strongly Correlated Electrons · Physics 2009-10-31 P. Prelovsek , A. Ramsak

We present a self-consistent approach for computing the correlated quasiparticle spectrum of charged excitations in iterative $\mathcal{O}[N^5]$ computational time. This is based on the auxiliary second-order Green's function approach [O.…

Chemical Physics · Physics 2020-10-05 Oliver J. Backhouse , George H. Booth

Weakly interacting Fermi gases exhibit rich collective dynamics in spin-dependent potentials, arising from correlations between spin degrees of freedom and conserved single atom energies, offering broad prospects for simulating many-body…

Quantum Gases · Physics 2021-01-28 S. Pegahan , J. Kangara , I. Arakelyan , J. E. Thomas

Recently, general point interactions in one dimension has been used to model a large number of different phenomena in quantum mechanics. Such potentials, however, requires some sort of regularization to lead to meaningful results. The usual…

Quantum Physics · Physics 2009-11-07 Alexandre G. M. Schmidt , Bin Kang Cheng , Marcos G. E. da Luz

We compute the spectral function rho(q,omega) of the one- dimensional Luttinger model. We discuss the distinct influences of charge-spin separation and of the anomalous dimensions of the fermion operators and their evolution with…

Condensed Matter · Physics 2019-06-05 Johannes Voit

Access to magnetic excitation spectra of single atoms deposited on surfaces is nowadays possible by means of low-temperature inelastic scanning tunneling spectroscopy. We present a first-principles method for the calculation of inelastic…

Strongly Correlated Electrons · Physics 2015-06-22 Benedikt Schweflinghaus , Manuel dos Santos Dias , Antonio T. Costa , Samir Lounis

We calculate the spectral function of the Luther-Emery model which describes one-dimensional fermions with gapless charge and gapped spin degrees of freedom. We find a true singularity with interaction dependent exponents on the gapped spin…

Condensed Matter · Physics 2007-05-23 Johannes Voit

The self consistent version of the density functional theory is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems. An exact functional equation for the effective interaction, from…

Materials Science · Physics 2017-08-23 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

We calculate Auger spectra given by the two-hole Green's function from orbitally degenerate Hubbard-like models as a function of correlation strength and band filling. The resulting spectra are qualitatively different from those obtained…

Strongly Correlated Electrons · Physics 2009-10-31 D. D. Sarma , Priya Mahadevan

The forced time harmonic response of a spatiotemporally-modulated elastic beam of finite length with light damping is derived using a novel Green's function approach. Closed-form solutions are found that highlight unique mode coupling…

Applied Physics · Physics 2024-09-05 Benjamin M. Goldsberry , Andrew N. Norris , Samuel P. Wallen , Michael R. Haberman

Based on the variational principle, self-consistent single-particle (s.p.) potentials at positive energies are discussed, which correspond to the real part of the optical potential as the single folding potential (SFP). The nuclear-matter…

Nuclear Theory · Physics 2024-07-04 H. Nakada , K. Ishida

We present a Green's function method for the evaluation of the particle density profile and of the higher moments of the one-body density matrix in a mesoscopic system of N Fermi particles moving independently in a linear potential. The…

Statistical Mechanics · Physics 2009-10-31 Anna Minguzzi , Patrizia Vignolo , M. P. Tosi

The self-consistent Green's functions method is employed to study the spectroscopic factors of quasiparticle states around 16O, 28O, 40Ca and 60Ca. The Faddeev random phase approximation (FRPA) is used to account for the coupling of…

Nuclear Theory · Physics 2014-11-18 C. Barbieri , W. H. Dickhoff

The general equation from previous work is specialized to a linear potential $V(r)=-a+F r$ acting in the space of spherically symmetric S wave functions. The fine and hyperfine interaction creates then a $\frac1r$-dependence in the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Hans-Christian Pauli

We present a method for the calculation of photoemission spectra in terms of reduced density matrices. We start from the spectral representation of the one-body Green's function G, whose imaginary part is related to photoemission spectra,…

Strongly Correlated Electrons · Physics 2016-11-23 Stefano Di Sabatino , J. A. Berger , Lucia Reining , Pina Romaniello

We propose a new method for the evaluation of the particle density and kinetic pressure profiles in inhomogeneous one-dimensional systems of non-interacting fermions, and apply it to harmonically confined systems of up to N=1000 fermions.…

Statistical Mechanics · Physics 2009-10-31 Patrizia Vignolo , Anna Minguzzi , M. P. Tosi

Spectroscopic and optical properties of nanosystems and point defects are discussed within the framework of Green's function methods. We use an approach based on evaluating the self-energy in the so-called GW approximation and solving the…

Materials Science · Physics 2009-11-11 Murilo L. Tiago , James R. Chelikowsky

A variational model for the infra-red spectrum of VO is presented which aims to accurately predict the hyperfine structure within the VO $\mathrm{X}\,^4\Sigma^-$ electronic ground state. To give the correct electron spin splitting of the…

Chemical Physics · Physics 2022-10-25 Qianwei Qu , Sergei N. Yurchenko , Jonathan Tennyson

An extension of the fermionic particle--particle propagator is presented, that possesses similar algebraic properties to the single--particle Green's function. In particular, this extended two--particle Green's function satisfies Dyson's…

chem-ph · Physics 2009-10-28 Joachim Brand , Lorenz S. Cederbaum
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