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Atomic-scale helices exist as motifs for several material lattices. We examine a tight-binding model for a single one-dimensional monatomic chain with a p-orbital basis coiled into a helix. A topologically nontrivial phase emerging from…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 Pengke Li , Jay D. Sau , Ian Appelbaum

The incompatibility of linearized piecewise smooth strain field, arising out of volumetric and surface densities of topological defects and metric anomalies, is investigated. First, general forms of compatibility equations are derived for a…

Mathematical Physics · Physics 2019-03-27 Animesh Pandey , Anurag Gupta

Using the atomic density function theory (ADFT), we examine the point defect absorption at [110] symmetrical tilt grain boundaries in body-centered cubic iron. It is found that the sink strength strongly depends on misorientation angle. We…

Materials Science · Physics 2015-12-18 O. Kapikranian , H. Zapolsky , R. Patte , C. Pareige , B. Radiguet , P. Pareige

Topological defects play an important role in physics of elastic media and liquid crystals. Their kinematics is determined by constraints of topological origin. An example is the glide motion of dislocations which has been extensively…

Strongly Correlated Electrons · Physics 2008-02-11 V. Cvetkovic , Z. Nussinov , J. Zaanen

Chiral edge states can transmit energy along imperfect interfaces in a topologically robust and unidirectional manner when protected by bulk-boundary correspondence. However, in continuum systems, the number of states at an interface can…

Soft Condensed Matter · Physics 2021-07-14 Guido Baardink , Gino Cassella , Luke Neville , Paul A. Milewski , Anton Souslov

A hyperbolic lattice allows for any $p$-fold rotational symmetry, in stark contrast to a two-dimensional crystalline material, where only twofold, threefold, fourfold or sixfold rotational symmetry is permitted. This unique feature…

Mesoscale and Nanoscale Physics · Physics 2023-05-25 Yu-Liang Tao , Yong Xu

Topological defects are crucial to the thermodynamics and structure of condensed matter systems. For instance, when incorporated into crystalline membranes like graphene, disclinations with positive and negative topological charge…

Soft Condensed Matter · Physics 2018-08-29 Isaac R. Bruss , Gregory M. Grason

Topological defects play a fundamental role in the investigation of symmetries in quantum field theories. For conformal field theories in two space-time dimensions, it is possible to construct these defects using lattice models allowing…

High Energy Physics - Theory · Physics 2026-04-30 Madhav Sinha , Thiago Silva Tavares , Hubert Saleur , Ananda Roy

Collectively moving cellular systems often contain a proportion of dead cells or non-motile genotypes. When mixed, nematically aligning motile and non-motile agents are known to segregate spontaneously. However, the role that topological…

We employ electric circuit networks to study topological states of matter in non-Hermitian systems enriched by parity-time symmetry $\mathcal{PT}$ and chiral symmetry anti-$\mathcal{PT}$ ($\mathcal{APT}$). The topological structure…

Extended topological defects (ETDs) arising in spherical hexagonal crystals due to their curvature are considered. These prevalent defects carry a unit total topological charge and are surrounded by scalene pentagonal boundaries.…

Materials Science · Physics 2015-06-18 D. S. Roshal , K. Yu. Petrov , A. E. Myasnikova , S. B. Rochal

The drying of colloidal suspensions leads to complex deposition patterns, accompanied by instabilities such as cracking and delamination. In this study, we experimentally investigate the coupled influence of particle surface charge and…

Soft Condensed Matter · Physics 2026-01-27 A. Madhav Sai Kumar , A. Hari Govindha , Ranajit Mondal , Kirti Chandra Sahu

We face the problem to determine the slope dependent current during the epitaxial growth process of a crystal surface. This current is proportional to delta=(p+) + (p-), where (p+/-) are the probabilities for an atom landing on a terrace to…

Materials Science · Physics 2007-05-23 Paolo Politi

The energetically optimal position of lattice defects on intrinsically curved surfaces is a complex function of shape parameters. For open surfaces, a simple condition predicts the critical size for which a central disclination yields lower…

Soft Condensed Matter · Physics 2023-08-09 Siddhansh Agarwal , Sascha Hilgenfeldt

\textit{Ab initio} random structure searching based on density functional theory is used to determine the ground-state structures of ice at high pressures. Including estimates of lattice zero-point energies, ice is found to adopt three…

Other Condensed Matter · Physics 2013-05-29 Jeffrey M. McMahon

We extend the previous study of extracting crystalline symmetry-protected topological invariants to the correlated regime. We construct the interacting Hofstadter model defined on square lattice with the rotation and translation symmetry…

Strongly Correlated Electrons · Physics 2026-01-06 Lu Zhang , Min Long , Yuxuan Zhang , Zi Yang Meng , Xue-Yang Song

We have carried out a first principles study of the elastic properties and electronic structure for two room-temperature stable Pt silicide phases, tetragonal alpha-Pt_2Si and orthorhombic PtSi. We have calculated all of the equilibrium…

Materials Science · Physics 2009-10-31 O. Beckstein , J. E. Klepeis , G. L. W. Hart , O. Pankratov

Recent advances in the characterization of hexagonal-diamond silicon (2H-Si) have shown that this material possesses remarkably different structural, electronic, and optical properties as compared to the common cubic-diamond (3C) polytype.…

Materials Science · Physics 2024-10-22 Marc Túnica , Alberto Zobelli , Michele Amato

We found that non-magnetic defects in two-dimensional topological insulators induce bound states of two kinds for each spin orientation: electron- and hole-like states. Depending on the sign of the defect potential these states can be also…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 Vladimir A. Sablikov , Aleksei A. Sukhanov

Liquid crystals inevitably possess topological defect excitations generated through boundary conditions, applied fields or in quenches to the ordered phase. In equilibrium pairs of defects coarsen and annihilate as the uniform ground state…

Soft Condensed Matter · Physics 2013-06-05 Luca Giomi , Mark J. Bowick , Xu Ma , M. Cristina Marchetti