Phonon eigenfunctions of inhomogeneous lattices: Can you hear the shape of a cone?

Zhang, Grace H.; Nelson, David R.

doi:10.1103/physreve.104.065005

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2023

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Cited by 3 publications

(2 citation statements)

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“…Consequently, any excitation starting in the outer domain may be prevented by energetic considerations from exploring too far into any region where the dipoles are much closer and the interactions therefore much stronger. A similar effect of excitations being confined to certain regions has been described in certain soft matter systems and other inhomogeneous lattices [48].…”

Section: Discussionsupporting

confidence: 61%

Geometry induced domain-walls of dipole lattices on curved structures

Siemens¹,

Schmelcher²

2023

Preprint

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Section: Discussionsupporting

confidence: 61%

Geometry induced domain-walls of dipole lattices on curved structures

Siemens¹,

Schmelcher²

2023

Preprint

View full text Add to dashboard Cite

Section: Discussionsupporting

confidence: 61%

Geometry induced domain-walls of dipole lattices on curved structures

Siemens,

Schmelcher

2023

J. Phys. A: Math. Theor.

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We investigate the ground state (GS) properties of rectangular dipole lattices on curved surfaces. The curved geometry can ‘distort’ the lattice and lead to dipole equilibrium configurations that strongly depend on the local geometry of the surface. We find that the system’s GS can exhibit domain-walls separating domains with different dipole configurations. Furthermore, we show how, regardless of the surface geometry, the domain-walls (DWs) locate along the lattice sites for which the (Euclidean) distances to nearest and next-nearest neighbors are equal. We analyze the response of the DWs to an external electric field and observe displacements and splittings thereof below and above a critical electric field, respectively. We further show that the DW acts as a boundary that traps low-energy excitations within a domain.

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