Defects and Geometry in Condensed Matter Physics

By D. Thouless. 2003

507 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2fee6a484321acb311b0c31fa62585852d7ed982

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In Biomedical Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

Revealing Hidden Structural Order Controlling Both Fast and Slow Glassy Dynamics in Supercooled Liquids (2018, background): “For weakly polydisperse disks, such a local structure with high packing capability can be described by the hexatic bond-orientational order parameter Ψ6 [39], which has been proven to be effective in glassy systems with moderate strength of disorder in 2D [13,14,17].”
Theoretical perspective on the glass transition and amorphous materials (2010, background): “(77) and introduced by Struik (1978) is analytically justified.”
Odd Viscosity and Odd Elasticity (2022, background): “These defects act as quasi-particles, and their motion governs the large scale rearrangement of the crystal (265, 266, 267).”
The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment (2005, background): “Indeed, a perfect icosahedral phase can be formed on the surface S3 of a 4-dimensional hypersphere with a radius tuned to be 5/π = 1.5915... times the preferred interatomic geodesic distance (in curved space).”
Gauge fields in graphene (2010, result): “It is well-established by now, both experimentally and theoretically [41, 43–47], that graphene is always corrugated and covered by ripples which can be either intrinsic [38, 43, 44, 47] or induced by a roughness of substrate [45, 46].”
Confocal microscopy of colloids (2007, background): “Crystalline regions in 2D can be identified with the local bond orientational parameter ψ6 [81].”
Geometry of Miura-folded metamaterials (2013, unknown): “∂HSL ∂θ = 4a2b tan2γ cos γ 1− 2 sin(2)θ cos3ψ 1+ tan2ξ = 0; [18]”
Classification of topological quantum matter with symmetries (2015, background): “Dislocations and disclinations (Chaikin and Lubensky, 2000; Nelson, 2002) are crystalline defects that associate discrete torisional and curvature fluxes in a lattice medium, which breaks continuous translation”
Two-dimensional matter: order, curvature and defects (2008, background): “The degree of order of the crystalline raft can be characterized by the translational and orientational correlation functions g(r) and g6(r) (see [110]).”
The role of local structure in dynamical arrest (2014, background): “However, in curved space it is possible to have a fully icosahedral state [375].”