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The dynamics of a two-dimensional Bose-Einstein condensate in a presence of quantum fluctuations is studied. The properties of localized density distributions, quantum droplets (QDs), are analyzed by means of the variational approach. It is…

Pattern Formation and Solitons · Physics 2021-02-03 Sherzod R. Otajonov , Eduard N. Tsoy , Fatkhulla Kh. Abdullaev

Artificial molecular states of double quantum dots defined in bilayer graphene are studied with the atomistic tight-binding and its low-energy continuum approximation. We indicate that the extended electron wave functions have opposite…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 D. P. Żebrowski , F. M. Peeters , B. Szafran

We study a magnetic impurity intercalated in bilayer graphene. A representative configuration generates a hybridization function with strong dependence on the conduction-electron energy, including a full gap with one hard and one soft edge.…

Strongly Correlated Electrons · Physics 2014-07-22 Diego Mastrogiuseppe , Arturo Wong , Kevin Ingersent , Sergio Ulloa , Nancy Sandler

The local density of states (LDOS) of the adsorbate induced two-dimensional electron system (2DES) on n-InAs(110) is studied by low-temperature scanning tunneling spectroscopy. The LDOS exhibits irregular structures with fluctuation lengths…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 M. Morgenstern , J. Klijn , Chr. Meyer , M. Getzlaff , R. Adelung , R. A. Roemer , K. Rossnagel , L. Kipp , M. Skibowski , R. Wiesendanger

We introduce a generalization of local density of states which is "windowed" with respect to position and energy, called the windowed local density of states (wLDOS). This definition generalizes the usual LDOS in the sense that the usual…

Mathematical Physics · Physics 2022-10-25 Terry A. Loring , Jianfeng Lu , Alexander B. Watson

In the present study, Kummer's eigenvalue spectra from a charged spinless particle located at spherical pseudo-dot of the form $r^2+1/r^2$ is reported. Here, it is shown how confluent hypergeometric functions have principal quantum numbers…

Quantum Physics · Physics 2023-07-12 Sami Ortakaya

We propose how to form spin qubits in graphene. A crucial requirement to achieve this goal is to find quantum dot states where the usual valley degeneracy in bulk graphene is lifted. We show that this problem can be avoided in quantum dots…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Trauzettel , Denis V. Bulaev , Daniel Loss , Guido Burkard

Stimulated by recent advances in isolating graphene, we discovered that quantum dot can be trapped in Z-shaped graphene nanoribbon junciton. The topological structure of the junction can confine electronic states completely. By varying…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Z. F. Wang , Huaixiu Zheng , Q. W. Shi , Jie Chen , Qunxiang Li , J. G. Hou

A detailed understanding of interacting electrons in twisted bilayer graphene (tBLG) near the magic angle is required to gain insights into the physical origin of the observed broken symmetry phases. Here, we present extensive atomistic…

Mesoscale and Nanoscale Physics · Physics 2020-07-02 Zachary A. H. Goodwin , Valerio Vitale , Xia Liang , Arash A. Mostofi , Johannes Lischner

The local density of states (LDOS) is a distribution that characterizes the effect of perturbations on quantum systems. Recently, it was proposed a semiclassical theory for the LDOS of chaotic billiards and maps. This theory predicts that…

Chaotic Dynamics · Physics 2015-06-05 Darío E. Bullo , Diego A. Wisniacki

We calculate the local density of states (LDOS) for an infinite graphene sheet with a single centro-symmetric out-of-plane deformation, in order to investigate measurable strain signatures on graphene. We focus on the regime of small…

Mesoscale and Nanoscale Physics · Physics 2015-04-22 Martin Schneider , Daiara Faria , Silvia Viola Kusminskiy , Nancy Sandler

Electronic properties of triangular and hexagonal nano-scale quantum dots (QDs) of Silicene and bilayer graphene are studied. It is shown that the low-energy edge-localized electronic states, existing within the size-quantized gap are…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Hazem Abdelsalam , T. Espinosa-Ortega , Igor Lukyanchuk

The existence of bound states in the continuum was predicted at the dawn of quantum mechanics by von Neumann and Wigner. In this work we discuss the mechanism of formation of these exotic states and the feasibility to observe them…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. W. Gonzalez , M. Pacheco , L. Rosales , P. A. Orellana

In relativistic physics, both atomic collapse in heavy nucleus and Hawking radiation in black hole are predicted to occur through Klein tunneling process that couples particles and antiparticles. Recently, atomic collapse states (ACSs) were…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Qi Zheng , Yu-Chen Zhuang , Ya-Ning Ren , Chao Yan , Qing-Feng Sun , Lin He

The understanding of particle entanglement is an important goal in the studies of correlated quantum matter. The widely-used method of scanning tunneling spectroscopy -- which measures the local density of states (LDOS) of a many-body…

Strongly Correlated Electrons · Physics 2022-11-30 Songyang Pu , Ajit C. Balram , Zlatko Papić

In this paper, we numerically study the bound electron states induced by long range Coulomb impurity in gapped graphene and the quasi-bound states in supercritical region based on the lattice model. We present a detailed comparison between…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 W. Zhu , M. L. Liang , Q. W. Shi , Z. F. Wang , J. Chen , J. G. Hou

Probing techniques with spatial resolution have the potential to lead to a better understanding of the microscopic physical processes and to novel routes for manipulating nanostructures. We present scanning-gate images of a graphene quantum…

Mesoscale and Nanoscale Physics · Physics 2012-06-13 S. Schnez , J. Güttinger , M. Huefner , C. Stampfer , K. Ensslin , T. Ihn

Bilayer graphene is a nanomaterial that allows for well-defined, separated quantum states to be defined by electrostatic gating and, therefore, provides an attractive platform to construct tunable quantum dots. When a magnetic field…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Jozef Bucko , Frank Schäfer , František Herman , Rebekka Garreis , Chuyao Tong , Annika Kurzmann , Thomas Ihn , Eliska Greplova

We study the local density of states (LDOS) in a finite photonic crystal, in particular in the frequency range of the band gap. We propose a new point of view on the band gap, which we consider to be the result of vacuum fluctuations in…

Optics · Physics 2014-01-17 Elahe Yeganegi , Ad Lagendijk , Allard P. Mosk , Willem L. Vos

Using low-temperature scanning tunneling spectroscopy, we map the local density of states (LDOS) of graphene quantum dots supported on Ir(111). Due to a band gap in the projected Ir band structure around the graphene K point, the electronic…

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