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We theoretically study the power-law decay behavior of the local density of states (LDOS) oscillations near a line defect in system with semi-Dirac points by using a low-energy k.p Hamiltonian. We find that the LDOS oscillations are…

Mesoscale and Nanoscale Physics · Physics 2021-04-01 Wang Chen , Xianzhe Zhu , Xiaoying Zhou , Guanghui Zhou

A line defect on a metallic surface induces standing waves in the electronic local density of states (LDOS). Asymptotically far from the defect, the wave number of the LDOS oscillations at the Fermi energy is usually equal to the distance…

Mesoscale and Nanoscale Physics · Physics 2012-09-11 P. Rakyta , A. Palyi , J. Cserti

We study the characteristics of scattering processes at step edges on the surfaces of Strong Topological Insulators (STI), arising from restrictions imposed on the $S$-matrix \emph{solely} by time reversal symmetry and translational…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Rudro R. Biswas , Alexander V. Balatsky

The eigenstates in the presence of a step defect (SD) along $x$ or y axis on the surface of topological insulators are exactly solved. It is shown that unlike the electronic states in conventional metals, the topological surface states…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Degang Zhang , C. S. Ting

Monte carlo simulation of paths of a large number of impinging electrons in a multi-layered solid allows to define area of spreading electrons (A) to capture overall behavior of the solid. This parameter 'A' follows power law with electron…

Mesoscale and Nanoscale Physics · Physics 2016-01-11 Moirangthem Shubhakanta Singh , R. K. Brojen Singh

We have probed the condition of periodic oscillation in a class of two variable nonlinear dynamical open systems modeled with Lienard-Levinson-Smith(LLS) equation which can be a limit cycle, center or a very slowly decaying center type…

Chaotic Dynamics · Physics 2018-11-19 Sandip Saha , Gautam Gangopadhyay

We study local density of state (LDOS) oscillations arising from the scattering of electrons at atomic edge defects in topological insulator (TI) surfaces. To create edge scattering on the surface of a TI, we assume that half of its surface…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 David J. Alspaugh , D. N. Sheng , Mahmoud M. Asmar

Detailed study of the LDOS associated with the surface-state-band near a step-edge of the strong topological-insulator Bi2Te3, reveal a one-dimensional bound state that runs parallel to the stepedge and is bound to it at some characteristic…

Strongly Correlated Electrons · Physics 2013-05-29 Zhanybek Alpichshev , J. G. Analytis , J. -H. Chu , I. R. Fisher , A. Kapitulnik

We performed numerical calculations of the local density of states (LDOS) at disorder induced localization-delocalization transitions. The LDOS defines a spatial measure for fixed energy and a spectral measure for fixed position. At the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Bodo Huckestein , Rochus Klesse

The growth and dynamics of solid surfaces displays a multitude of power law relationships, which are often associated with geometric self-similarity. In many cases the mechanisms behind these power laws are comparatively trivial, and…

Statistical Mechanics · Physics 2009-11-10 Joachim Krug

We investigate bound state solutions of the 2D Schr\"odinger equation with a dipole potential originating from the elastic effects of a single edge dislocation. The knowledge of these states could be useful for understanding a wide variety…

Other Condensed Matter · Physics 2010-05-05 K. Dasbiswas , D. Goswami , C. -D. Yoo , Alan T. Dorsey

We study a system of hard-core particles sliding downwards on a fluctuating one-dimensional surface which is characterized by a dynamical exponent $z$. In numerical simulations, an initially random particle density is found to coarsen and…

Statistical Mechanics · Physics 2009-10-31 Dibyendu Das , Mustansir Barma

The generation of electron surface oscillations in overdense plasmas irradiated at normal incidence by an intense laser pulse is investigated. Two-dimensional (2D) particle-in-cell simulations show a transition from a planar, electrostatic…

Plasma Physics · Physics 2009-11-07 A. Macchi , F. Cornolti , F. Pegoraro , T. V. Liseikina , H. Ruhl , V. A. Vshivkov

We propose a general theory on the standing waves (quasiparticle interference pattern) caused by the scattering of surface states off step edges in topological insulators, in which the extremal points on the constant energy contour of…

Mesoscale and Nanoscale Physics · Physics 2012-07-26 Jing Wang , Wei Li , Peng Cheng , Canli Song , Tong Zhang , Peng Deng , Xi Chen , Xucun Ma , Ke He , Jin-Feng Jia , Qi-Kun Xue , Bang-Fen Zhu

We observe a surprisingly general power law decay at short to intermediate times in orientational relaxation in a variety of model systems (both calamitic and discotic, and also discrete) for thermotropic liquid crystals. As all these…

Soft Condensed Matter · Physics 2009-11-11 Dwaipayan Chakrabarti , Prasanth P. Jose , Suman Chakrabarty , Biman Bagchi

The electromagnetic local density of states (LDOS) is crucial to many aspects of photonics engineering, from enhancing emission of photon sources to radiative heat transfer and photovoltaics. We present a framework for evaluating upper…

Electronic surface states in one-dimensional two-band TBA model are studied by use of the Green function method. The local density of states (LDOS) at successive atoms in a semi-infinite chain, even in the case of atoms distant from the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jaroslaw Klos

We present a theory for the damping of layer-by-layer growth oscillations in molecular beam epitaxy. The surface becomes rough on distances larger than a layer coherence length which is substantially larger than the diffusion length. The…

Statistical Mechanics · Physics 2009-10-30 H. Kallabis , L. Brendel , J. Krug , D. E. Wolf

I derive new sum rules for the electronic oscillator strengths in a periodic or nearly periodic potential, which apply within a single energy band and between any two bands. The physical origin of these sum rules is quite unlike that of…

Condensed Matter · Physics 2007-05-23 Michael R. Geller

The weakly nonlinear dynamics of the free surface of a dielectric liquid in an electric field directed tangentially to the unperturbed boundary is investigated numerically. Within the framework of the strong field model, when the effects of…

Fluid Dynamics · Physics 2022-11-28 Evgeny A. Kochurin , Olga V. Zubareva , Nikolay M. Zubarev
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