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We present a simple technique to fabricate graphene quantum dots in a cryostat. It relies upon the controlled rupture of a suspended graphene sheet subjected to the application of a large electron current. This results in the in-situ…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Joel Moser , Adrian Bachtold

The magnetic field dependence of energy levels in gapped single- and bilayer graphene quantum dots (QDs) defined by electrostatic gates is studied analytically in terms of the Dirac equation. Due to the absence of sharp edges in these types…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Patrik Recher , Johan Nilsson , Guido Burkard , Bjoern Trauzettel

In the context of fast developing quantum technologies, locating single quantum objects embedded in solid or fluid environment while keeping their properties unchanged is a crucial requirement as well as a challenge. Such "quantum…

We introduce a generalized joint density of states (GJDOS), which incorporates the coherent factor into the JDOS, to study quasiparticle interference (QPI) in superconductors. The intimate relation between the Fourier-transformed local…

Superconductivity · Physics 2015-06-05 Dan-Bo Zhang , Qiang Han , Z. D. Wang

Using scanning tunneling microscopy and spectroscopy, we have studied the local density of states (LDOS) of graphene over step edges in boron nitride. Long wavelength oscillations in the LDOS are observed with maxima parallel to the step…

Mesoscale and Nanoscale Physics · Physics 2012-01-09 Jiamin Xue , Javier Sanchez-Yamagishi , K. Watanabe , T. Taniguchi , Pablo Jarillo-Herrero , Brian J. LeRoy

Graphene quantum dots (GQDs) are nanoscale structures of graphene with quantum properties and edge effects that give photoluminescence properties. The effect of quantum confinement and differences in the nature of GQD structure makes its…

Computational Physics · Physics 2022-12-21 Setianto , I Made Joni

We propose a spectral-averaging procedure that enables computation of bandwidth-integrated local density of states (LDOS) from a single scattering calculation, and exploit it to investigate the minimum extinction achievable from dipolar…

Dynamically exact calculations of a quasi-bound state in the $\bar{K}\bar{K}N$ three-body system are performed using Faddeev-type AGS equations. As input two phenomenological and one chirally motivated $\bar{K}N$ potentials are used, which…

Nuclear Theory · Physics 2015-10-21 N. V. Shevchenko , J. Haidenbauer

We establish several properties of the integrated density of states for random quantum graphs: Under appropriate ergodicity and amenability assumptions, the integrated density of states can be defined using an exhaustion procedure by…

Spectral Theory · Mathematics 2015-05-13 Daniel Lenz , Norbert Peyerimhoff , Olaf Post , Ivan Veselic'

We introduce a numerical method for computing spectral densities, and apply it to the evaluation of the local density of states (LDOS) of sparse Hamiltonians derived from tight-binding models. The approach, which we call the high-order…

Computational Physics · Physics 2025-12-04 Jinjing Yi , Daniel Massatt , Andrew Horning , Mitchell Luskin , J. H. Pixley , Jason Kaye

This brief review summarizes recent theoretical and experimental results which predict and establish the existence of quantum droplets (QDs), i.e., robust two- and three-dimensional (2D and 3D) self-trapped states in Bose-Einstein…

Quantum Gases · Physics 2020-10-21 Zhihuan Luo , Wei Pang , Bin Liu , Yongyao Li , Boris A. Malomed

Strongly correlated electron liquids which occur in quantizing magnetic fields reveal a cornucopia of fascinating quantum phenomena such as fractionally charged quasiparticles, anyonic statistics, topological order, and many others. Probing…

Mesoscale and Nanoscale Physics · Physics 2010-03-09 D. A. Abanin , I. Skachko , X. Du , E. Y. Andrei , L. S. Levitov

We consider charge transport across a finite graphene flake with a circular antidot defined in its center. The flake is connected to thin metallic armchair nanoribbons and the study covers the energy range within the neighborhood of the…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 Alina Mreńca , Krzysztof Kolasiński , Bartłomiej Szafran

We present graphene quantum dots endowed with addition energies as large as 1.6 eV, fabricated by the controlled rupture of a graphene sheet subjected to a large electron current in air. The size of the quantum dot islands is estimated to…

Mesoscale and Nanoscale Physics · Physics 2013-01-30 Amelia Barreiro , Herre S. J. van der Zant , Lieven M. K. Vandersypen

We reformulate the Tomonaga--Luttinger liquid theory for quasi-one-dimensional Fermion systems with many subbands across the Fermi energy. Our theory enables us to obtain a rigorous expression of the local density of states (LDOS) for…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Hideo Yoshioka , Hiroyuki Shima

Kondo physics in doped monolayer graphene is predicted to exhibit unusual features due to the linear vanishing of the pristine material's density of states at the Dirac point. Despite several attempts, conclusive experimental observation of…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 Dawei Zhai , Kevin Ingersent , Sergio E. Ulloa , Nancy Sandler

We theoretically investigate the electronic and magneto-optical properties of rectangular, hexangular, and triangular monolayer phosphorene quantum dots (MPQDs) utilizing the tight-binding method. The electronic states, density of states,…

Mesoscale and Nanoscale Physics · Physics 2015-12-10 Rui Zhang , X. Y. Zhou , D. Zhang , W. K. Lou , F. Zhai , Kai Chang

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 density of electronic one-particle states in monolayer graphene is studied by performing the Hybrid Monte-Carlo simulations of the tight-binding model for electrons on the pi orbitals of carbon atoms which make up the graphene lattice.…

Strongly Correlated Electrons · Physics 2013-07-01 P. V. Buividovich

Flat band moir\'e graphene systems have emerged as a quintessential platform to investigate correlated phases of matter. A plethora of interaction-driven ground states have been proposed, and yet despite extensive experimental effort, there…