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We use inverse methods of statistical mechanics and computer simulations to investigate whether an isotropic interaction designed to stabilize a given two-dimensional (2D) lattice will also favor an analogous three-dimensional (3D)…

Materials Science · Physics 2014-09-15 Avni Jain , Jeffrey R. Errington , Thomas M. Truskett

The recent proposal of Romero-Isart {\em et al.}~\cite{romero-isart_superconducting_2013} to utilize the vortex lattice phases of superconducting materials to prepare a lattice for ultra-cold atoms-based quantum emulators, raises the need…

Superconductivity · Physics 2015-09-01 Qingyou Meng , Christopher N. Varney , Hans Fangohr , Egor Babaev

Like the letters in the alphabet forming words, reusing components of a heterogeneous mixture is an efficient strategy for assembling a large number of target structures. Examples range from synthetic DNA origami to proteins self-assembling…

Statistical Mechanics · Physics 2024-12-10 Félix Benoist , Pablo Sartori

Kagome lattices constitute versatile platforms for studying paradigmatic correlated phases. While molecular self-assembly of kagome structures on metallic substrates is promising, it is challenging to realize pristine kagome properties…

Mesoscale and Nanoscale Physics · Physics 2024-08-06 Laetitia Farinacci , Gael Reecht , Felix von Oppen , Katharina J. Franke

It has been recently reported that ultraviolet harmonic vortices can be produced when a high-power circular-polarized laser pulse travels through a micro-scale waveguide. However, the harmonic generation quenches typically after a few tens…

Plasma Physics · Physics 2023-04-19 Ke Hu , Longqing Yi

Crystalline topological insulators have recently become a powerful platform for realizing photonic topological states from microwaves to the visible. Appropriate geometric symmetries of the lattice are at the core of their functionality.…

Optics · Physics 2023-12-27 Konstantin Rodionenko , Maxim Mazanov , Maxim A. Gorlach

The traditional goal of inverse self-assembly is to design interactions that drive particles toward a desired target structure. However, achieving successful self-assembly also requires tuning the thermodynamic conditions under which the…

Soft Condensed Matter · Physics 2025-06-16 Camilla Beneduce , Giuseppe Mastriani , Petr Šulc , Francesco Sciortino , John Russo

Most approaches for designing self-assembled materials focus on the thermodynamic stability of a target structure or crystal polymorph. Yet in practice, the outcome of a self-assembly process is often controlled by kinetic pathways. Here we…

Soft Condensed Matter · Physics 2025-05-08 Sambarta Chatterjee , William M. Jacobs

We investigate the existence and stability of gap vortices and multi-pole gap solitons in a Kagome lattice with a defocusing nonlinearity both in a discrete case and in a continuum one with periodic external modulation. In particular,…

Pattern Formation and Solitons · Physics 2015-05-13 K. J. H. Law , Avadh Saxena , P. G. Kevrekidis , A. R. Bishop

We use a regular arrangement of kirigami elements to demonstrate an inverse design paradigm for folding a flat surface into complex target configurations. We first present a scheme using arrays of disclination defect pairs on the dual to…

Soft Condensed Matter · Physics 2016-02-17 Daniel M. Sussman , Yigil Cho , Toen Castle , Xingting Gong , Euiyeon Jung , Shu Yang , Randall D. Kamien

Direct design of complex functional materials would revolutionize technologies ranging from printable organs to novel clean energy devices. However, even incremental steps towards designing functional materials have proven challenging. If…

Soft Condensed Matter · Physics 2024-06-26 Ella M. King , Chrisy Xiyu Du , Qian-Ze Zhu , Samuel S. Schoenholz , Michael P. Brenner

Flexibility governs the many properties of materials and is crucial for the function of proteins and biopolymers. However, how the self-assembly of flexibly bonded particles can lead to larger structures with global reconfigurability is…

Soft Condensed Matter · Physics 2024-06-28 Yogesh Shelke , Daniel J. G. Pearce , Daniela J. Kraft

In the present communication we consider the one-dimensional (1D) isotopically disordered lattice with the harmonic potential. Our analytical method is adequate for any 1D lattice where potential energy can be presented as the quadratic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vladimir N. Likhachev , Juraj Szavits-Nossan , George A. Vinogradov

Using a recently introduced formulation of the ground-state inverse design problem for a targeted lattice [Pi\~neros et al., J. Chem. Phys. 144} 084502 (2016)], we discover purely repulsive and isotropic pair interactions that stabilize…

Soft Condensed Matter · Physics 2018-01-10 William D. Piñeros , Thomas M. Truskett

This article investigates phonons and elastic response in randomly diluted lattices constructed by combining (via the addition of next-nearest bonds) a twisted kagome lattice, with bulk modulus $B=0$ and shear modulus $G>0$, with either a…

Soft Condensed Matter · Physics 2020-07-01 Danilo B. Liarte , Olaf Stenull , T. C. Lubensky

Ultracold ground state dipolar 40K-87Rb molecules have recently been produced in a loose harmonic trap by employing a magnetic field sweep across a Feshbach resonance followed by stimulated Raman adiabatic passage [K.-K. Ni et al., Science…

The self assembly of core-corona discs interacting via anisotropic potentials is investigated using Monte Carlo computer simulations. A minimal interaction potential that incorporates anisotropy in a simple way is introduced. It consists in…

Soft Condensed Matter · Physics 2012-01-27 Daniel Salgado-Blanco , Carlos I. Mendoza

Self-assembling novel ordered structures with nanoparticles has recently received much attention. Here we use computer simulations to study a two-dimensional model system characterized by a simple isotropic interaction that could be…

Soft Condensed Matter · Physics 2015-03-18 Michael Engel

Arrays of coupled nanomagnets have wide-ranging fundamental and practical applications in artificial spin ices, neuromorphic computing and spintronics. However, lacking in these fields are nanomagnets with perpendicular magnetic anisotropy…

Here, we describe a method for the enhanced self-assembly of triblock Janus colloids targeted to form a kagome lattice. Using computer simulations, we demonstrate that the formation of this elusive structure can be significantly improved by…

Soft Condensed Matter · Physics 2019-02-18 Stewart Mallory , Angelo Cacciuto