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We present exact analytical calculations of scanning tunneling currents in locally disordered graphene using a multimode description of the microscope tip. Analytical expressions for the local density of states (LDOS) are given for energies…

Mesoscale and Nanoscale Physics · Physics 2009-10-06 N. M. R. Peres , Ling Yang , Shan-Wen Tsai

The global density of states (GDOS) close to the band center $\epsilon=0$ for a particle hopping on a square lattice and subjected to disorder that preserves the bipartite symmetry of the lattice is computed using field theoretical methods.…

Disordered Systems and Neural Networks · Physics 2015-06-24 Shinsei Ryu , Christopher Mudry , Akira Furusaki

We calculate the average single particle density of states in graphene with disorder due to impurity potentials. For unscreened short-ranged impurities, we use the non-self-consistent and self-consistent Born and $T$-matrix approximations…

Mesoscale and Nanoscale Physics · Physics 2008-10-18 Ben Yu-Kuang Hu , E. H. Hwang , S. Das Sarma

We calculate the tunneling density-of-states (DOS) of a disorder-free two-dimensional interacting electron system with a massless-Dirac band Hamiltonian. The DOS exhibits two main features: i) linear growth at large energies with a slope…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 A. Principi , Marco Polini , Reza Asgari , A. H. MacDonald

Asymptotical behavior of the distribution function of local density of states (LDOS) in disordered metallic samples is studied with making use of the supersymmetric $\sigma$--model approach, in combination with the saddle--point method. The…

Condensed Matter · Physics 2009-10-28 A. D. Mirlin

Real quantum systems can exhibit a local object called local partial density of states (LPDOS) that cannot be proved within the axiomatic approach of quantum mechanics. We demonstrate that real mesoscopic system that can exhibit Fano…

Quantum Physics · Physics 2025-03-12 Kanchan Meena , Souvik Ghosh , P. Singha Deo

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

Unconventional features in superconductivity are revealed by responses to impurity scattering. We study non-magnetic impurity effects in a three-dimensional topological superconductor, focusing on an effective model (massive Dirac…

Superconductivity · Physics 2014-11-06 Yuki Nagai , Yukihiro Ota , Masahiko Machida

The local density of states (LDOS) around a magnetic impurity in high-Tc superconductors is studied using the two-dimensional t-J model with a realistic band structure. The order parameters are determined in a self-consistent way within the…

Superconductivity · Physics 2009-10-31 Hiroki Tsuchiura , Yukio Tanaka , Masao Ogata , Satoshi Kashiwaya

We present a calculation of the modulation in the Local Density Of electronic States (LDOS) caused by an impurity in graphene in the presence of external magnetic field. We focus on the spatial Fourier Transform (FT) of this modulation…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Rudro R. Biswas , A. V. Balatsky

We have studied tunneling-mediated local density of states (LDOS) of the surface layer of a bilayer cuprate, where a Zn impurity is located on the second Cu-O layer. When the tunneling strength between two Cu-O layers is larger than a…

Superconductivity · Physics 2015-05-13 Degang Zhang , C. S. Ting

We consider a linearly-dispersing quantum impurity interacting through a contact density-density term with a one-dimensional (1D) superfluid described by the Tomonaga-Luttinger liquid theory. Using a linked cluster expansion we characterize…

Strongly Correlated Electrons · Physics 2024-04-26 Lorenzo Gotta , Thierry Giamarchi

We investigate the mutual influence of impurities in two-dimensional d-wave superconductors involving self-consistent solutions of the Bogoliubov-de Gennes equations. The local order parameter suppression, the local density of states (LDOS)…

Superconductivity · Physics 2009-11-07 U. Michelucci , F. Venturini , A. P. Kampf

We theoretically consider the effects of having unintentional charged impurities in laterally coupled two-dimensional double (GaAs) quantum dot systems, where each dot contains one or two electrons and a single charged impurity in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Nga T. T. Nguyen , S. Das Sarma

We study two lattice models, the honeycomb lattice (HCL) and a special square lattice (SQL), both reducing to the Dirac equation in the continuum limit. In the presence of disorder (gaussian potential disorder and random vector potential),…

Mesoscale and Nanoscale Physics · Physics 2009-06-25 Klaus Ziegler , Balázs Dóra , Peter Thalmeier

The quasiparticle resonant states around a single nonmagnetic impurity with unitary scattering in a d-wave superconductor is studied by solving the Bogoliubov-de Gennes equations based on a t-J model. Both the spatial variation of the order…

Superconductivity · Physics 2009-10-31 Jian-Xin Zhu , T. K. Lee , C. S. Ting , Chia-Ren Hu

The quasiparticle density of states (DOS) in the vortex state has been probed by specific heat measurements under magnetic fields (H) for clean and dirty s-wave superconductors, Y(Ni1-xPtx)2B2C and Nb1-xTaxSe2. We find that the…

Superconductivity · Physics 2009-10-31 M. Nohara , M. Isshiki , F. Sakai , H. Takagi

Defects in graphene are of crucial importance for its electronic and magnetic properties. Here impurity effects on the electronic structure of surrounding carbon atoms are considered and the distribution of the local densities of states…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 T. O. Wehling , A. V. Balatsky , M. I. Katsnelson , A. I. Lichtenstein , K. Scharnberg , R. Wiesendanger

The Dirac fermion in the random chiral models is studied which includes the random gauge field model and the random hopping model. We focus on a connection between continuum and lattice models to give a clear perspective for the random…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Shinsei Ryu , Yasuhiro Hatsugai

We calculate the modification of the local electronic structure caused by a local impurity on the surface of a 3D Topological Insulator. We find that the LDOS around the Dirac point of the electronic spectrum at the surface is significantly…

Materials Science · Physics 2013-11-25 Rudro R. Biswas , Alexander V. Balatsky