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Atomic collapse is a phenomenon inherent to relativistic quantum mechanics where electron states dive in the positron continuum for highly charged nuclei. This phenomenon was recently observed in graphene. Here we investigate a novel…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Robbe Van Pottelberge , Dean Moldovan , S. P. Milovanovic , Francois M. Peeters

Artificial atoms in graphene hosting a series of quasi-bound states can serve as an excellent platform to explore atomic collapse and become a basis to design novel graphene nanodevices. We theoretically study behaviors of massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Yu-Chen Zhuang , Yue Mao , Qing-Feng Sun

The electronic bound states and resonances in the vicinity of the Dirac point energy due to the adsorption of calcium dimers on a suspended graphene monolayer are explored theoretically using density functional theory (DFT) and an improved…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Alireza Saffarzadeh , George Kirczenow

Relativistic quantum mechanics predicts that when the charge of a superheavy atomic nucleus surpasses a certain threshold, the resulting strong Coulomb field causes an unusual atomic collapse state; this state exhibits an electron wave…

In this paper, we numerically study a Coulomb impurity problem for interacting Dirac fermions restricted in disordered graphene quantum dots. In the presence of randomly distributed lattice defects and spatial potential fluctuations, the…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Mustafa Polat , A. D. Güçlü

We study the atomic collapse phenomenon in $K$ and $K'$ valley of gapped graphene. Bound states induced by Coulomb impurity in the gap turn into atomic collapse resonances as the charge increases beyond the supercritical charge $Z_c$. $Z_c$…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Jing Wang , Xiaotai Wu , Wen-Sheng Zhao , Yuhua Cheng , Yue Hu , Francois M. Peeters

We study quantum electrodynamics with 2+1 dimensional massless Dirac fermion around a Coulomb impurity. Around a large charge with atomic number Z > 137, the QED vacuum is expected to collapse due to the strong Coulombic force. While the…

High Energy Physics - Theory · Physics 2016-03-23 Aya Kagimura , Tetsuya Onogi

The relativistic massless charge carriers with a Fermi velocity of about c300 in graphene enable us to realize two distinct types of resonances (c, the speed of light in vacuum). One is electron whispering-gallery mode in graphene quantum…

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

Quantum electrodynamics predicts that heavy atoms ($Z > Z_c \approx 170$) will undergo the process of atomic collapse where electrons sink into the positron continuum and a new family of so-called collapsing states emerges. The relativistic…

Mesoscale and Nanoscale Physics · Physics 2017-11-07 Dean Moldovan , Massoud Ramezani Masir , Francois M. Peeters

Charge impurities in graphene can host an infinite family of Rydberg-like resonance states of massless Dirac particles. These states, appearing for supercritical charge, are described by Bohr-Sommerfeld quantization of collapsing classical…

Mesoscale and Nanoscale Physics · Physics 2007-12-15 A. V. Shytov , M. I. Katsnelson , L. S. Levitov

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

Atomic collapse can be observed in graphene because of its large "effective" fine structure constant, which enables this phenomenon to occur for an impurity charge as low as $Z_c\sim 1-2$. Here, we investigate the effect of the sublattice…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Jing Wang , Miša Anđelković , Gaofeng Wang , Francois M. Peeters

The lower-symmetry trilayer AAB-stacked graphene exhibits rich electronic properties and thus diverse Coulomb excitations. Three pairs of unusual valence and conduction bands create nine available interband excitations for the undoped case,…

Materials Science · Physics 2018-12-05 Chiun-Yan Lin , Bor-Luen Huang , Godfrey Gumbs , Ming-Fa Lin

Coulomb interaction is of central importance in localized energy levels (bound states) or electronic flat bands and could result in many exotic quantum phases, such as magnetic, superconducting, and topological phases in graphene…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 Zhong-Qiu Fu , Ke-Ke Bai , Ya-Ning Ren , Jiao-Jiao Zhou , Lin He

Atomic collapse in graphene nanoribbons behaves in a fundamentally different way as compared to monolayer graphene, due to the presence of multiple energy bands and the effect of edges. For armchair nanoribbons we find that bound states…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Jing Wang , Robbe Van Pottelberge , Amber Jacobs , Ben Van Duppen , Francois M. Peeters

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…

Electrons in graphene, behaving as massless relativistic Dirac particles, provide a new perspective on the relation between condensed matter and high-energy physics. We discuss atomic collapse, a novel state of superheavy atoms stripped of…

Mesoscale and Nanoscale Physics · Physics 2009-05-30 Andrei Shytov , Mark Rudner , Nan Gu , Mikhail Katsnelson , Leonid Levitov

Interactions among charge carriers in graphene can lead to the spontaneous breaking of multiple degeneracies. When increasing the number of graphene layers following rhombohedral stacking, the dominant role of Coulomb interactions becomes…

Cold atoms in an optical lattice with brick-wall geometry have been used to mimic graphene, a two-dimensional material with characteristic Dirac excitations. Here we propose to bring such artificial graphene into the proximity of a second…

The non-interacting energy spectrum of graphene and its bilayer counterpart consists of multiple degeneracies owing to the inherent spin, valley and layer symmetries. Interactions among charge carriers are expected to spontaneously break…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 R. Thomas Weitz , Monica T. Allen , Benjamin E. Feldman , Jens Martin , Amir Yacoby
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