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Rough surface scattering problems are always very challenging both theoretically and numerically. In this paper, we adopt the Bloch transform and the perturbation theory to investigate a special case, i.e., when the rough surface is a…

Analysis of PDEs · Mathematics 2018-12-04 Ruming Zhang

In disordered lattices, itinerant electrons typically undergo Anderson localization due to random phase interference, which suppresses their motion. By contrast, in flat-band systems where electrons are intrinsically localized owing to…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Zhe Hou , Hailong Li , Qing Yan , Yu-Hang Li , Hua Jiang

Normal modes provide a fundamental basis for understanding crucial properties of solids, such as the thermal conductivity, the heat capacity and the sound propagation. While the normal modes are excellently described by plane waves in…

Soft Condensed Matter · Physics 2011-04-04 Peng Tan , Ning Xu , A. B. Schofield , Lei Xu

Bilayer graphene and its thicker cousins with Rhombohedral stacking have attracted considerable attention because of their susceptibility to a variety of broken chiral symmetry states. Due to large density-of-states and quantized Berry…

Strongly Correlated Electrons · Physics 2015-12-25 Fan Zhang

Strain has been extensively employed to tailor graphene's properties and has emerged as a powerful tool for engineering gauge fields and exploring fundamental phenomena in artificial platforms like photonic graphene. Here we discover that,…

Optics · Physics 2025-09-26 Yongsheng Liang , Shiqi Xia , Daohong Song , Hrvoje Buljan , Zhigang Chen

We investigate the contribution of charge puddles to the non-vanishing conductivity minimum in disordered graphene flakes at the charge neutrality point. For that purpose, we study systems with a geometry that suppresses the transmission…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Leandro R. F. Lima , Caio H. Lewenkopf

In this paper, we explore the graphical representation of two-qubit entanglement on two Bloch Spheres via stabilizer formalism. We relate the density matrix to the graphical representation on two Bloch Spheres by showing how both may be…

Quantum Physics · Physics 2024-11-04 Stanislav Filatov , Marcis Auzinsh

Electronic band structures dictate the mechanical, optical and electrical properties of crystalline solids. Their experimental determination is therefore of crucial importance for technological applications. While the spectral distribution…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 C. Dutreix , H. González-Herrero , I. Brihuega , M. I. Katsnelson , C. Chapelier , V. T. Renard

Bound states in the continuum (BICs) are widely known spatially localized states experimentally implemented as quasi-BICs. Although they emerged as a promising solution for achieving high-quality resonances in photonic structures,…

We investigate Bloch oscillations of wave packets in monolayer phosphorene with broken inversion symmetry. We find that the real space trajectories, Berry and group velocities of Bloch electron undergo Bloch oscillations in the system. The…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Abdullah Yar , Rifat Sultana

A layered system of charges with logarithmic interaction parallel to the layers and random dipoles in each layer is studied via a variational method and an energy rationale. These methods reproduce the known phase diagram for a single layer…

Disordered Systems and Neural Networks · Physics 2009-11-10 Baruch Horovitz , Pierre Le Doussal

A model predicting the structure of repulsive, spherically symmetric, monodisperse particles confined between two walls is presented. We study the buckling transition of a single flat layer as the double layer state develops. Experimental…

Condensed Matter · Physics 2009-10-22 T Chou , David R. Nelson

Two-dimensional systems with flat bands support correlated phases such as superconductivity and charge fractionalization. While twisted moire systems like twisted bilayer graphene have revealed such states, they remain complex to control.…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Elias Andrade , Alejandro Jimeno-Pozo , Pierre A. Pantaleon , Francisco Guinea , Gerardo G. Naumis

We develop a new envelope-function formalism to describe electrons in slowly-varying inhomogeneously strained semiconductor crystals. A coordinate transformation is used to map a deformed crystal back to geometrically undeformed structure…

Materials Science · Physics 2014-10-29 Wenbin Li , Xiaofeng Qian , Ju Li

One of the most remarkable characteristics of topological materials is that they have special surface states, which are determined by the topological properties of their bulk materials. The angle resolved photoemission spectroscopy (ARPES)…

Materials Science · Physics 2022-03-04 Zujian Dai , Gan Jin , Lixin He

The topological nature of the disorder of glasses and supercooled liquids strongly affects their high-frequency dynamics. In order to understand its main features, we analytically studied a simple topologically disordered model, where the…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

Zak phase, which refers to the Berry's phase picked up by a particle moving across the Brillouin zone, characterizes the topological properties of Bloch bands in one-dimensional periodic system. Here the Zak phase in dimerized…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Weiwei Zhu , Ya-qiong Ding , Jie Ren , Yong Sun , Yunhui Li , Haitao Jiang , Hong Chen

We present a formal demonstration that light can simultaneously exhibit a superfluid behavior and spatial long-range order when propagating in a photonic crystal with self-focussing nonlinearity. In this way, light presents the…

Pattern Formation and Solitons · Physics 2017-07-11 Albert Ferrando , Miguel Ángel García-March , Mario Zacarés

In recent years there has been a great interest in topological materials and in their fascinating properties. Topological band theory was initially developed for condensed matter systems, but it can be readily applied to arbitrary wave…

Optics · Physics 2022-10-05 Filipa R. Prudêncio , Mário G. Silveirinha

Surface wave patterns are investigated experimentally in a system geometry that has become a paradigm of quantum chaos: the stadium billiard. Linear waves in bounded geometries for which classical ray trajectories are chaotic are known to…

Chaotic Dynamics · Physics 2009-10-31 A. Kudrolli , Mathew C. Abraham , J. P. Gollub