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We investigate how the spectral and topological properties of electron systems evolve on a lattice that interpolates between the honeycomb and its 1/6-depleted structures through the introduction of selective random defects. We find that in…

Disordered Systems and Neural Networks · Physics 2026-04-14 Sogen Ikegami , Kiyu Fukui , Shun Okumura , Yasuyuki Kato , Yukitoshi Motome

The classical lattice dynamics of honeycomb lattices is studied in the harmonic approximation. Interactions between nearest neighbors are represented by springs connecting them. A short and necessary introduction of the lattice structure is…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 József Cserti , Géza Tichy

We propose a numerically efficient `adjoint' inverse design method to optimize a planar structure of dipole scatterers, to manipulate the radiation from an electric dipole emitter. Several examples are presented: modification of the…

Optics · Physics 2021-09-21 J. R. Capers , S. J. Boyes , A. P. Hibbins , S. A. R. Horsley

Controlled micro- to meso-scale porosity is a common materials design goal with possible applications ranging from molecular gas adsorption to particle size selective permeability or solubility. Here, we use inverse methods of statistical…

Soft Condensed Matter · Physics 2016-03-11 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

Controlled synthesis of materials with specified atomic structures underpins technological advances yet remains reliant on iterative, trial-and-error approaches. Nanoparticles (NPs), whose atomic arrangement dictates their emergent…

We report on a method for the realization of two-dimensional electrostatic lattices for excitons using patterned interdigitated electrodes. Lattice structure is set by the electrode pattern and depth of the lattice potential is controlled…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Mikas Remeika , Michael M. Fogler , Leonid V. Butov , Micah Hanson , Arthur C. Gossard

Heterostructures of stacked two-dimensional lattices have shown great promise for engineering novel material properties. As an archetypal example of such a system, the hexagon-shared honeycomb-kagome lattice has been experimentally…

Materials Science · Physics 2025-02-21 Chan Bin Bark , Hanbyul Kim , Seik Pak , Hong-Guk Min , Sungkyun Ahn , Youngkuk Kim , Moon Jip Park

We present Monte Carlo simulation results for a two-dimensional Ising model with ferromagnetic nearest-neighbor couplings and a competing long-range dipolar interaction on a honeycomb lattice. Both structural and thermodynamic properties…

Statistical Mechanics · Physics 2012-07-26 Robert Rüger , Roser Valentí

This paper introduces a method to generate highly selective encodings that can be magnetically "programmed" onto physical modules to enable them to self-assemble in chosen configurations. We generate these encodings based on Hadamard…

Robotics · Computer Science 2022-08-09 Martin Nisser , Yashaswini Makaram , Faraz Faruqi , Ryo Suzuki , Stefanie Mueller

Self-assembly is the autonomous organization of components into patterns or structures: an essential ingredient of biology and a desired route to complex organization. At equilibrium, the structure is encoded through specific interactions,…

Soft Condensed Matter · Physics 2018-10-03 Antoine Aubret , Mena Youssef , Stefano Sacanna , Jérémie Palacci

A one-dimensional system of two trapped bosons which interact through a contact potential is studied using the optimized configuration interaction method. The rapid convergence of the method is demonstrated for trapping potentials of convex…

Quantum Physics · Physics 2017-07-17 Anna Okopinska , Przemyslaw Koscik

In this work we consider the inverse problem of finding guiding pattern shapes that result in desired self-assembly morphologies of block copolymer melts. Specifically, we model polymer self-assembly using Self-Consistent Field Theory and…

Soft Condensed Matter · Physics 2021-12-20 Daniil Bochkov , Frederic Gibou

One of the fundamental goals of nanotechnology is to exploit selective and directional interactions between molecules to design particles that self-assemble into desired structures, from capsids, to nano-clusters, to fully formed crystals…

Soft Condensed Matter · Physics 2020-09-16 Flavio Romano , John Russo , Lukáš Kroc , Petr Šulc

Mechanical and phononic metamaterials exhibiting negative elastic moduli, gapped vibrational spectra, or topologically protected modes enable precise control of structural and acoustic functionalities. While much progress has been made in…

Materials Science · Physics 2019-09-25 Henrik Ronellenfitsch , Norbert Stoop , Josephine Yu , Aden Forrow , Jörn Dunkel

Interaction between dipolar forces, such as permanent magnets, generally leads to the formation of one-dimensional chains and rings. We investigated whether it was possible to let dipoles self-assemble into three-dimensional structures by…

Applied Physics · Physics 2020-05-12 Leon Abelmann , Tijmen Hageman , Per Löthman , Massimo Mastrangeli , Miko Elwenspoek

Fabrication of diamond structures by self-assembly is a fundamental challenge in making three-dimensional photonic crystals. We simulate a system of model hard particles with attractive patches and show that they can self-assemble into a…

Statistical Mechanics · Physics 2012-01-18 Zhenli Zhang , Aaron S. Keys , Ting Chen , Sharon C. Glotzer

We study a system of ultra-cold atoms possessing long range interaction (e.g. dipole-dipole interaction) in a one dimensional optical lattice in the presence of a confining harmonic trap. We have shown that for large enough on-site and…

Quantum Gases · Physics 2010-11-12 Tapan Mishra , Sunethra Ramanan , Ramesh V. Pai , Meetu Sethi Luthra , B. P. Das

The process of self-assembly is guided by the minimization of free energy, which limits the symmetries available for assembly and ultimately the usefulness of devices fabricated in this fashion. Here, we demonstrate experimentally for the…

The integration of photonic and phononic bandgaps within a single scalable architecture promises transformative advances in optomechanical and acousto-optic devices. Here, we design and simulate a two-dimensional hexagonal lattice in…

Optics · Physics 2025-12-18 Suhas Suresh Bharadwaj , Adarsh Ganesan

We investigate the local and global optimality of the triangular, square, simple cubic, face-centred-cubic (FCC), body-centred-cubic (BCC) lattices and the hexagonal-close-packing (HCP) structure for a potential energy per point generated…

Mathematical Physics · Physics 2019-10-23 Laurent Bétermin
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