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We give details on how to calculate spectral functions and Green's functions for finite systems using the Chebyshev polynomial expansion method. We apply the method to a finite Anderson impurity system, and furthermore give details on how…

Strongly Correlated Electrons · Physics 2015-11-04 M. Hyrkäs , D. Karlsson , R. van Leeuwen

We study properties of relative types of plurisubharmonic functions with respect to maximal plurisubharmonic weights. It is shown that they give a general form for upper semicontinuous, tropically additive functionals on plurisubharmonic…

Complex Variables · Mathematics 2007-05-23 Alexander Rashkovskii

We use the effective-mass approximation and the density-functional theory with the local-density approximation for modeling two-dimensional nano-structures connected phase-coherently to two infinite leads. Using the non-equilibrium Green's…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Paula Havu , Ville Havu , Martti Puska , Risto Nieminen

Nonequilibrium electronic transport through a molecular level weakly coupled to a single coherent phonon/vibration mode has been studied for superconducting leads. The Keldysh Green function formalism is used to compute the current for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Zazunov , R. Egger , C. Mora , T. Martin

Inelastic effects in electron transport through nano-sized devices are addressed with a method based on nonequilibrium Green's functions (NEGF) and perturbation theory to infinite order in the electron-vibration coupling. We discuss the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thomas Frederiksen , Mads Brandbyge , Nicolas Lorente , Antti-Pekka Jauho

Superconductivity in the t-J model is studied by extending the recently introduced extremely correlated fermi liquid theory. Exact equations for the Greens functions are obtained by generalizing Gor'kov's equations to include extremely…

Superconductivity · Physics 2021-10-05 B Sriram Shastry

We investigate the properties of the one-electron Green's function in an interacting two-dimensional electron system in a strong magnetic field, which describes an electron tunneling into such a system. From finite-size diagonalization, we…

Condensed Matter · Physics 2007-05-23 Song He , P. M. Platzman , B. I. Halperin

We investigate the properties of the one-electron Green's function in an interacting two-dimensional electron system in a strong magnetic field, which describes an electron tunneling into such a system. From finite-size diagonalization, we…

Condensed Matter · Physics 2009-10-22 Song He , P. M. Platzman , B. I. Halperin

We show that Berezinskii's classification of the symmetries of Cooper pair amplitudes holds for driven systems even in the absence of translation invariance. We then consider a model Hamiltonian for a superconductor coupled to an external…

Superconductivity · Physics 2016-09-28 Christopher Triola , Alexander V. Balatsky

We introduce a Green function and analogues of other related kernels for finite and infinite networks whose edge weights are complex-valued admittances with positive real part. We provide comparison results with the same kernels associated…

Mathematical Physics · Physics 2023-12-12 Anna Muranova , Wolfgang Woess

We study the continuity of the maximum-entropy inference map for two observables in finite dimensions. We prove that the continuity is equivalent to the strong continuity of the set-valued inverse numerical range map. This gives a…

Mathematical Physics · Physics 2016-05-17 Stephan Weis

The first aims of this work are to endorse the advent of finitely additive set functions as equilibrium states and the possibility to replace the metric entropy by an upper semi-continuous map associated to a general variational principle.…

Dynamical Systems · Mathematics 2022-04-07 Andrzej Bis , Maria Carvalho , Miguel Mendes , Paulo Varandas

One-body Green's function theories implemented on the real frequency axis offer a natural formalism for the unbiased theoretical determination of quasiparticle spectra in molecules and solids. Self-consistent Green's function methods…

Computational Physics · Physics 2015-05-22 Alicia Rae Welden , Jordan J. Phillips , Dominika Zgid

We consider the variational problem of maximizing the weighted equilibrium Green's energy of a distribution of charges free to move in a subset of the upper half-plane, under a particular external field. We show that this problem admits a…

Complex Variables · Mathematics 2016-07-22 Spyridon Kamvissis , Evguenii A. Rakhmanov

Motivated by the discovery of superconductivity in beta-pyrochlore oxides, we study property of rattling motion coupled with conduction electrons. We derive the general expression of the Green's function of fully anharmonic lattice…

Strongly Correlated Electrons · Physics 2009-11-13 Masateru Takechi , Kazuo Ueda

Two-particle Green's functions and the vertex functions play a critical role in theoretical frameworks for describing strongly correlated electron systems. However, numerical calculations at two-particle level often suffer from large…

Strongly Correlated Electrons · Physics 2018-05-16 Hiroshi Shinaoka , Junya Otsuki , Kristjan Haule , Markus Wallerberger , Emanuel Gull , Kazuyoshi Yoshimi , Masayuki Ohzeki

We study the nonlinear cotunneling current through a spinful quantum dot contacted by two superconducting leads. Applying a general nonequilibrium Green function formalism to an effective Kondo model, we study the rich variation in the…

Mesoscale and Nanoscale Physics · Physics 2012-10-12 B. M. Andersen , K. Flensberg , V. Koerting , J. Paaske

High-doping induced Urbach tails and band gap narrowing play a significant role in determining the performance of tunneling devices and optoelectronic devices such as tunnel field-effect transistors (TFETs), Esaki diodes and light-emitting…

Mesoscale and Nanoscale Physics · Physics 2023-08-04 Prasad Sarangapani , Yuanchen Chu , James Charles , Tillmann Kubis

Transport properties of 2D materials especially close to their boundary has received much attention after the successful fabrication of graphene and other fascinating materials afterwards. While most previous work is devoted to the…

Mesoscale and Nanoscale Physics · Physics 2016-12-15 Fanbing Xia , Jian Wang

Green's function provides an inherent connection between theoretical analysis and numerical methods for elliptic partial differential equations, and general absence of its closed-form expression necessitates surrogate modeling to guide the…

Numerical Analysis · Mathematics 2025-09-16 Qi Sun , Shengyan Li , Bowen Zheng , Lili Ju , Xuejun Xu