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The accurate theoretical description of materials with strongly correlated electrons is a formidable challenge in condensed matter physics and computational chemistry. Dynamical Mean Field Theory (DMFT) is a successful approach that…

Quantum transport properties through single polycyclic hydrocarbon molecules attached to two metallic electrodes are studied by the use of Green's function technique. A parametric approach based on the tight-binding model is introduced to…

Mesoscale and Nanoscale Physics · Physics 2009-12-20 Santanu K. Maiti

The exciting discovery of bi-dimensional systems in condensed matter physics has triggered the search of their photonic analogues. In this letter, we describe a general scheme to reproduce some of the systems ruled by a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Simon Yves , Thomas Berthelot , Mathias Fink , Geoffroy Lerosey , Fabrice Lemoult

The ambiguity involved in the definition of effective-mass Hamiltonians for nonrelativistic models is resolved using the Dirac equation. The multistep approximation is extended for relativistic cases allowing the treatment of arbitrary…

Condensed Matter · Physics 2009-10-31 R. Renan , M. H. Pacheco , C. A. S. Almeida

In graphene, long-wavelength deformations that result in elastic shear strain couple to the low-energy Dirac electrons as pseudogauge fields. Using a scalable tight-binding model, we consider analogs to magnetotransport in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Alina Mreńca-Kolasińska , Christophe De Beule , Jia-Tong Shi , Aitor Garcia-Ruiz , Denis Kochan , Klaus Richter , Ming-Hao Liu

We numerically investigate the electronic transport properties between two mesoscopic graphene disks with a twist by employing the density functional theory coupled with non-equilibrium Green's function technique. By attaching two graphene…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Yulei Han , Yafei Ren , Xinlong Dong , Junjie Zeng , Wei Ren , Zhenhua Qiao

We investigate the low-energy electronic transport across grain boundaries in graphene ribbons and infinite flakes. Using the recursive Green's function method, we calculate the electronic transmission across different types of grain…

Mesoscale and Nanoscale Physics · Physics 2015-07-29 C. J. Páez , J. N. B. Rodrigues , A. L. C. Pereira , N. M. R. Peres

We implement, optimize, and validate the linear-scaling Kubo-Greenwood quantum transport simulation on graphics processing units by examining resonant scattering in graphene. We consider two practical representations of the Kubo-Greenwood…

Mesoscale and Nanoscale Physics · Physics 2014-02-14 Zheyong Fan , Andreas Uppstu , Topi Siro , Ari Harju

Based on the gauge/gravity correspondence we have calculated the thermoelectric kinetic and transport characteristics of the strongly interacting materials in the presence of perpendicular magnetic field. The 3+1 dimensional system with…

High Energy Physics - Theory · Physics 2018-02-14 Marek Rogatko , Karol. I. Wysokinski

Virial relations for the Dirac equation in a central field and their applications to calculations of H-like atoms are considered. It is demonstrated that using these relations allows one to evaluate various average values for a hydrogenlike…

Atomic Physics · Physics 2015-06-26 V. M. Shabaev

The gauge-gravity duality and analog gravity both relate a condensed matter system to a gravitational theory. This makes it possible to use gravity as an intermediary to establish a relation between two different condensed matter systems:…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Sabine Hossenfelder , Tobias Zingg

Electronic transport properties through some model quantum systems are re-visited. A simple tight-binding framework is given to describe the systems where all numerical calculations are made using the Green's function formalism. First, we…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Santanu K. Maiti

Single-particle resonances are crucial for exotic nuclei near and beyond the drip lines. Since the majority of nuclei are deformed, the interplay between deformation and orbital structure near threshold becomes very important and can lead…

Nuclear Theory · Physics 2020-02-05 T. -T. Sun , L. Qian , C. Chen , P. Ring , Z. P. Li

Numerical quantum transport calculations are commonly based on a tight-binding formulation. A wide class of quantum transport algorithms requires the tight-binding Hamiltonian to be in the form of a block-tridiagonal matrix. Here, we…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 Michael Wimmer , Klaus Richter

In this article, we propose a new numerical model for computation of the transport of electrons in a graphene device. The underlying quantum model for graphene is a massless Dirac equation, whose eigenvalues display a conical singularity…

Mathematical Physics · Physics 2016-11-23 Clotilde Fermanian Kammerer , Florian Méhats

Peculiar electronic properties of graphene, including the universal dc conductivity and the pseudodiffusive shot noise, are usually attributed to a small vicinity of the charge-neutrality point, away from which electron's effective mass…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Adam Rycerz

In a Dirac semimetal, the conduction and valence bands contact only at discrete (Dirac) points in the Brillouin zone (BZ) and disperse linearly in all directions around these critical points. Including spin, the low energy effective theory…

Mesoscale and Nanoscale Physics · Physics 2012-04-17 S. M. Young , S. Zaheer , J. C. Y. Teo , C. L. Kane , E. J. Mele , A. M. Rappe

We employed first-principles density-functional theory (DFT) calculations to characterize Dirac electrons in quasi-two-dimensional molecular conductor $\alpha$-(BETS)$_2$I$_3$ [= $\alpha$-(BEDT-TSeF)$_2$I$_3$] at a low temperature of 30K.…

Strongly Correlated Electrons · Physics 2021-01-18 Takao Tsumuraya , Yoshikazu Suzumura

Potential algebras can be used effectively in the analysis of the quantum systems. In the article, we focus on the systems described by a separable, 2x2 matrix Hamiltonian of the first order in derivatives. We find integrals of motion of…

Mathematical Physics · Physics 2015-06-11 Vit Jakubsky

Application of secondary quantized self-consistent Dirac -- Hartree -- Fock approach to consider electronic properties of monolayer graphene with accounting of spin-polarized states allows to coherently explain experimental results on…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 H. V. Grushevskaya , G. G. Krylov
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