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In this paper we study an interacting two-particle system on the positive half-line. We focus on spectral properties of the Hamiltonian for a large class of two-particle potentials. We characterize the essential spectrum and prove, as a…

Mathematical Physics · Physics 2020-12-29 Sebastian Egger , Joachim Kerner , Konstantin Pankrashkin

We found solutions of the Bogoliubov-de Gennes equations for the two-dimensional self-consistent model of superconductors with $d_{x^2-y^2}$ symmetry of the order parameter, taking into account spin and charge distributions. Analytical…

Superconductivity · Physics 2013-01-01 S. I. Matveenko , S. I. Mukhin , F. V. Kusmartsev

Multiband superconductivity gives rise to a rich landscape of possible pairing states. Here we study superconductivity in the multiband extension of the Hatsugai-Kohmoto model, an exactly solvable model of correlated electrons with…

Superconductivity · Physics 2026-05-14 Nico Hahn , R. Matthias Geilhufe

Electrical conduction is studied along parabolically confined quasi-one dimensional channels, in the framework of a revised linear-response theory, for elastic scattering. For zero magnetic field an explicit multichannel expression for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Guillon , P. Vasilopoulos , C. M. Van Vliet

We study the Hamiltonian dynamics of a charged particle submitted to a pure magnetic field in a two-dimensional domain. We provide conditions on the magnetic field in a neighbourhood of the boundary to ensure the confinement of the…

Dynamical Systems · Mathematics 2021-04-02 Tho Nguyen Duc , Nicolas Raymond , San Vu Ngoc

We investigate the entanglement spectra of topological insulators which manifest edge states on a lattice with spatial boundaries. In the physical energy spectrum, a subset of the edge states that intersect the Fermi level translates to…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 A. Alexandradinata , Taylor L. Hughes , B. Andrei Bernevig

We investigate the finite-size scaling behavior of the conductivity in a two-dimensional Dirac electron gas within a chiral sigma model. Based on the fact that the conductivity is a function of system size times scattering rate, we obtain a…

Mesoscale and Nanoscale Physics · Physics 2014-12-01 Andreas Sinner , Klaus Ziegler

By using variational quantum Monte Carlo techniques, we investigate the instauration of stripes (i.e., charge and spin inhomogeneities) in the Hubbard model on the square lattice at hole doping $\delta=1/8$, with both nearest- ($t$) and…

Strongly Correlated Electrons · Physics 2022-06-06 Vito Marino , Federico Becca , Luca F. Tocchio

We investigate spectral properties of quantum graphs in the form of a periodic chain of rings with a connecting link between each adjacent pair, assuming that wave functions at the vertices are matched through conditions manifestly…

Mathematical Physics · Physics 2022-07-12 Marzieh Baradaran , Pavel Exner , Milos Tater

We have measured the spatial and spectral dependence of the microwave field inside an open absorbing waveguide filled with randomly juxtaposed dielectric slabs in the spectral region in which the average level spacing exceeds the typical…

Disordered Systems and Neural Networks · Physics 2009-11-11 Patrick Sebbah , Bing Hu , Jerome M. Klosner , Azriel Z. Genack

We consider a model of leaky quantum wire in three dimensions. The Hamiltonian is a singular perturbation of the Laplacian supported by a line with the coupling which is bounded and periodically modulated along the line. We demonstrate that…

Spectral Theory · Mathematics 2019-12-10 Pavel Exner , Rupert L. Frank

We investigate the idea that the effect of the truncation applied in the TCSA method on the spectrum coincides with the effect of a suitable changing of the coefficients of the terms in the Hamiltonian operator. The investigation is done in…

High Energy Physics - Theory · Physics 2011-02-16 Gabor Zsolt Toth

In hep-th/0211011 we started a systematic investigation of open strings in the plane wave background. In this paper we continue the analysis by discussing the superalgebras of conserved charges, the spectra of open strings, and the spectra…

High Energy Physics - Theory · Physics 2009-11-07 Kostas Skenderis , Marika Taylor

Monte Carlo simulations applied to the Spin-Fermion model for cuprates show the existence of antiferromagnetic spin domains and charge stripes upon doping. The stripes are partially filled, with a filling of approximately 1/2 hole per site,…

Strongly Correlated Electrons · Physics 2009-10-31 Charles Buhler , Seiji Yunoki , Adriana Moreo

We propose a new type of interaction of closed superstrings with the electromagnetic field, other than the usual Kaluza-Klein type or a gauge field with internal gauge group origin. This model with a constant magnetic field is also shown to…

High Energy Physics - Theory · Physics 2010-02-09 Akira Kokado , Gaku Konisi , Takesi Saito

We consider the magnetic Schr\"odinger operator $H=(i \nabla +A)^2- V$ with a non-negative potential $V$ supported over a strip which is a local deformation of a straight one, and the magnetic field $B:=\mathrm{rot}(A)$ is assumed to be…

Spectral Theory · Mathematics 2023-08-29 Juan Bory Reyes , Baruch Schneider , Diana Schneiderova

The paper presents new results on localisation and transmission of flexural waves in a structured plate containing a semi-infinite two-dimensional array of rigid pins. In particular, surface waves are identified and studied at the interface…

Multistable structures are objects with more than one stable conformation, exemplified by the simple switch. Continuum versions are often elastic composite plates or shells, such as the common measuring tape or the slap bracelet, both of…

Soft Condensed Matter · Physics 2012-01-31 L. Giomi , L. Mahadevan

In this note we consider $W$-shaped map $W_0=W_{s_1,s_2}$ with $\frac {1}{s_1}+\frac {1}{s_2}=1$ and show that eigenvalue 1 is not stable. We do this in a constructive way. For each perturbing map $W_a$ we show the existence of the "second"…

Dynamical Systems · Mathematics 2013-10-18 Zhenyang Li , Paweł Góra

We argue that effective 1D models of stripes in the cuprate superconductors can be constructed by studying ground states and elementary excitations of domain walls in 2D model antiferromagnets. This method, applied to the t-J model with…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg Tchernyshyov , Leonid P. Pryadko