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It is shown that the Coulomb interaction can lead to delocalization of two electron states in two-dimensional (2D) disordered potential in a way similar to the Anderson transition in three dimensions (3D). At fixed disorder strength the…

Condensed Matter · Physics 2007-05-23 D. L. Shepelyansky

We give a brief summary of the current status of the electron many-body problem in graphene. We claim that graphene has intrinsic dielectric properties which should dress the interactions among the quasiparticles, and may explain why the…

Strongly Correlated Electrons · Physics 2012-06-07 Bruno Uchoa , James P. Reed , Yu Gan , Young Il Joe , Diego Casa , Eduardo Fradkin , Peter Abbamonte

It is shown that the title Comment by W. Szczepanik, M. Dulak, and T. A. Wesolowski [Int. J. Quantum Chem. 106 (2006)] is unsatisfactory.

Quantum Physics · Physics 2007-05-23 E. S. Kryachko

More than a century after discovery, the theory of conventional superconductivity remains incomplete. While the importance of electron-phonon coupling is understood, a controlled first-principles treatment of Coulomb interaction is lacking.…

L. H. Thomas, in his 1927 paper, "The Kinematics of an Electron with an Axis", explained the then-anomalous factor of one-half in atomic spin-orbit coupling as due to a relativistic precession of the electron spin axis. Thomas's explanation…

General Physics · Physics 2010-02-01 David C. Lush

Recent experiments have demonstrated that the performances of organic FETs strongly depend on the dielectric properties of the gate insulator. In particular, it has been shown that the temperature dependence of the mobility evolves from a…

Strongly Correlated Electrons · Physics 2009-11-13 S. Fratini , A. F. Morpurgo , S. Ciuchi

The steady state motion of a folded pendulum has been studied using frequencies of drive that are mainly below the natural (resonance) frequency of the instrument. Although the free-decay of this mechanical oscillator appears textbook…

Classical Physics · Physics 2007-05-23 Randall D. Peters

In Philip W. Anderson's research, magnetism has always played a special role, providing a prism through which other more complex forms of collective behavior and broken symmetry could be examined. I discuss his work on magnetism from the…

Strongly Correlated Electrons · Physics 2018-06-20 Piers Coleman

Mesoscopic fluctuations and correlations of the local density of states are studied near metal-insulator transitions in disordered interacting electronic systems. We show that the multifractal behavior of the local density of states…

Mesoscale and Nanoscale Physics · Physics 2015-07-30 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

We report observations of the Coulomb drag effect between two effectively 2-d insulating a-Si_{1-x}Nb_{x} films. We find that there only exist a limited range of experimental parameters over which we can measure a sizable linear-response…

Mesoscale and Nanoscale Physics · Physics 2008-02-28 K. Elsayad , J. P. Carini , D. V. Baxter

By employing a numerical renormalization group technique, we evaluate electronic specific heat coefficient $\gamma$ of the Anderson model coupled with local anharmonic phonons for the oscillation of a caged atom. For the rattling-type cage…

Strongly Correlated Electrons · Physics 2009-11-16 Takashi Hotta

In this short note, we prove positivity of the Lyapunov exponent for 1D continuum Anderson models by leveraging some classical tools from inverse spectral theory. The argument is much simpler than the existing proof due to…

Spectral Theory · Mathematics 2019-03-08 Valmir Bucaj , David Damanik , Jake Fillman , Vitaly Gerbuz , Tom VandenBoom , Fengpeng Wang , Zhenghe Zhang

The magnetic and non-magnetic ground states of the periodic Anderson model with Coulomb interaction between $f$-electrons on the nearest-neighbour(NN) sites are investigated using a variational method, which gives exact calculation of the…

Strongly Correlated Electrons · Physics 2009-10-30 Sushil Lamba , R. Kishore , S. K. Joshi

Two-dimensional (2D) metals can host gapless plasmonic excitations, which strongly couple to electrons and thus may significantly affect superconductivity in layered materials. To investigate the dynamical interplay of the electron-electron…

Superconductivity · Physics 2024-08-21 Yann in 't Veld , Mikhail I. Katsnelson , Andrew J. Millis , Malte Rösner

In condensed-matter systems, electrons are subjected to two different interactions under certain conditions. Even if both interactions are weak, it is difficult to perform perturbative calculations due to the complexity caused by the…

Strongly Correlated Electrons · Physics 2022-12-20 Zhao-Kun Yang , Xiao-Yin Pan , Guo-Zhu Liu

The effects of a long range electronic potential on a one dimensional chain of spinless fermions are investigated by numerical techniques (Exact Diagonalisation of rings with up to 30 sites complemented by finite size analysis) and analytic…

Strongly Correlated Electrons · Physics 2009-10-31 Sylvain Capponi , Didier Poilblanc , Thierry Giamarchi

In a recent publication [Phys. Rev. B $\textbf{89}$, 155403 (2014)], the authors investigated the spectrum of a Coulomb impurity in graphene in the presence of magnetic and electric fields using the coupled series expansion approach. In the…

Mesoscale and Nanoscale Physics · Physics 2018-06-06 R. Van Pottelberge , M. Zarenia , F. M. Peeters

The repercussions of an inaccurate account of electronic states near the Fermi level EF by hybrid functionals in predicting several important metallic properties are investigated. The diffculties in- clude a vanishing or severely suppressed…

Materials Science · Physics 2015-04-24 Weiwei Gao , Tesfaye A. Abtew , Tianyi Cai , Y. Y. Sun , S. B. Zhang , Peihong Zhang

We generalize the analysis of the normal modes for a rotating ionic Coulomb crystal in a Penning trap to allow for inhomogeneities in the system. Our formal developments are completely general, but we choose to examine a crystal of Be+ ions…

Quantum Physics · Physics 2014-11-18 M. McAneny , B. Yoshimura , J. K. Freericks

The Holstein model has been widely accepted as a model comprising electrons interacting with phonons; analysis of this model's ground states was accomplished two decades ago. However, the results were obtained without completely taking…

Mathematical Physics · Physics 2016-05-10 Tadahiro Miyao