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This Review highlights the exciting advancements in the science of honeycomb layered frameworks with metallophilic bilayers that have recently garnered attention particularly due to reports of anomalous fractional valency states of silver…

Ultracold Fermi gases trapped in honeycomb optical lattices provide an intriguing scenario, where relativistic quantum electrodynamics can be tested. Here, we generalize this system to non-Abelian quantum electrodynamics, where massless…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 A. Bermudez , N. Goldman , A. Kubasiak , M. Lewenstein , M. A. Martin-Delgado

Strain, both naturally occurring and deliberately engineered, can have a considerable effect on the structural and electronic properties of 2D and layered materials. Uniaxial or biaxial heterostrain modifies the stacking arrangement of…

Materials Science · Physics 2022-10-19 Nina C. Georgoulea , Stephen R. Power , Nuala M. Caffrey

Here, we introduce and apply non-Abelian tensor Berry connections to topological phases in multi-band systems. These gauge connections behave as non-Abelian antisymmetric tensor gauge fields in momentum space and naturally generalize…

Mesoscale and Nanoscale Physics · Physics 2021-06-18 Giandomenico Palumbo

The yielding transition of amorphous materials is studied with a two-dimensional Hamiltonian model that allows both shear and volume deformations. The model is investigated as a function of the relative value of the bulk modulus $B$ with…

Soft Condensed Matter · Physics 2022-01-05 E. A. Jagla

Dark matter around black holes can induce drag forces through dynamical friction and accretion, potentially affecting the orbital evolution and gravitational wave emission of binary systems. While dynamical friction from scalar field dark…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Shuo Xin , Elias R. Most

I study the buckling transition under compression of a two-dimensional, hexagonal, regular elastic honeycomb. Under isotropic compression, the system buckles to a configuration consisting of a unit cell containing four of the original…

Materials Science · Physics 2009-11-10 E. A. Jagla

We explore the non-reciprocal intracell hopping mediated non-Hermitian topological phases of an extended Su-Schrieffer-Heeger model hosting second-nearest-neighbour hopping. We microscopically analyze the phase boundaries using the…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Dharana Joshi , Tanay Nag

The AB-stacked bilayer graphene (BLG) is a pure semiconductor whose band gap and properties can be tuned by various methods such as doping or applying gate voltage. Here we show an alternative method to control the electronic properties of…

Materials Science · Physics 2017-02-06 Srimanta Pakhira , Kevin P. Lucht , Jose L. Mendoza-Cortes

We show that in AB stacked bilayer graphene low energy excitations around the semimetallic points are described by massless, four dimensional Dirac fermions. There is an effective reconstruction of the 4 dimensional spacetime, including in…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 M. Cariglia , R. Giambò , A. Perali

Non-Abelian braiding has attracted significant attention because of its pivotal role in describing the exchange behaviors of anyons--a candidate for realizing quantum logics. The input and outcome of non-Abelian braiding are connected by a…

We study the effect of spatial modulations in the interlayer hopping of graphene bilayers, such as those that arise upon shearing or twisting. We show that their single-particle physics, characterized by charge accumulation and recurrent…

Mesoscale and Nanoscale Physics · Physics 2012-05-24 Pablo San-Jose , Jose Gonzalez , Francisco Guinea

At HZB's BESSY II and PTB's Metrology Light Source (MLS) facilities we have the ability to tune the momentum compaction factor $\alpha$ up to second non-linear order. The non-linear dependence $\alpha(\delta)$ brings qualitative changes to…

Accelerator Physics · Physics 2021-04-28 Jernej Frank , Tom Mertens , Markus Ries

When a static electrical field is applied to a two-dimensional (2D) Dirac material, Landau-Zener transition (LZT) and Bloch-Zener oscillations can occur. Employing alpha-T3 lattices as a paradigm for a broad class of 2D Dirac materials, we…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Li-Li Ye , Ying-Cheng Lai

Non-Abelian gauge offers a powerful route to engineer novel topological phenomena. Here, we systematically investigate a two-dimensional (2D) non-Hermitian Hatano-Nelson model incorporating SU(2) non-Abelian gauge, demonstrating the…

Other Condensed Matter · Physics 2025-06-23 Yiming Zhao , Yazhuang Miao , Yihang Xing , Tianhui Qiu , Hongyang Ma , Xiaolong Zhao

A twisted honeycomb bilayer exhibits a moir\'e superstructure that is composed of a hexagonal arrangement of AB and BA stacked domains separated by domain boundaries. In the case of twisted bilayer graphene, the application of an electric…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Harold J. W. Zandvliet , Pantelis Bampoulis , Cristiane Morais Smith , Lumen Eek

Topological phases of matter lie at the heart of physics, connecting elegant mathematical principles to real materials that are believed to shape future electronic and quantum computing technologies. To date, studies in this discipline have…

Mesoscale and Nanoscale Physics · Physics 2021-11-15 Bin Jiang , Adrien Bouhon , Zhi-Kang Lin , Xiaoxi Zhou , Bo Hou , Feng Li , Robert-Jan Slager , Jian-Hua Jiang

We examine - both experimentally and numerically - a two-dimensional nonlinear driven electrical lattice with honeycomb structure. Drives are considered over a range of frequencies both outside (below and above) and inside the band of…

Pattern Formation and Solitons · Physics 2020-07-15 F. Palmero , L. Q. English , J. Cuevas-Maraver , P. G. Kevrekidis

Moir\'e materials formed in two-dimensional semiconductor heterobilayers are quantum simulators of Hubbard-like physics with unprecedented electron-density and interaction-strength tunability. Compared to atomic scale Hubbard-like systems,…

Strongly Correlated Electrons · Physics 2022-09-07 Nicolás Morales-Durán , Nai Chao Hu , Pawel Potasz , Allan H. MacDonald

The second-order nonlinear Hall effect illuminates a frequency-doubling transverse current emerging in quantum materials with broken inversion symmetry even when time-reversal symmetry is preserved. This nonlinear response originates from…

Mesoscale and Nanoscale Physics · Physics 2023-01-31 Jinrui Zhong , Junxi Duan , Shihao Zhang , Huimin Peng , Qi Feng , Yuqin Hu , Qinsheng Wang , Jinhai Mao , Jianpeng Liu , Yugui Yao