activity
20242026
most citedA Minimum Property for Cuboidal Lattice Sums

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

cond-mat.stat-mech2026

Pressure-Dependent hcp-to-fcc Phase Transition Path Derived from Exact Lattice Summations over Inverse Power Law Potentials

Tage W. Maltby, Andres Robles-Navarro, Jonathan K. Hartlaub +4

We investigate the phase transition between hexagonal close-packed (hcp) and face-centered cubic (fcc) structures along the Burgers-Bain transformation path at pressures up to seve…

cond-mat.mtrl-sci2025

Exact lattice summations for Lennard-Jones potentials coupled to a three-body Axilrod-Teller-Muto term applied to cuboidal phase transitions

Andres Robles-Navarro, Shaun Cooper, Andreas A. Buchheit +4

This work provides a rigorous analysis of Bain-type cuboidal lattice transformations, which connect the face-centered cubic (fcc), mean-centered cubic (mcc), body-centered cubic (b…

cond-mat.mtrl-sci2025

Exploring the mechanism of phase transitions between the hexagonal close-packed and the cuboidal structures

Andres Robles-Navarro, Shaun Cooper, Odile R. Smits +1

By introducing appropriate lattice parameters for a bi-lattice smoothly connecting the hexagonal close-packed (hcp) with the cuboidal structures, namely the body-centered (bcc) and…

math.NT2025★ 1 cited

A Minimum Property for Cuboidal Lattice Sums

Shaun Cooper, Peter Schwerdtfeger

We analyse a family of lattices considered by Conway and Sloane and show that the corresponding Epstein zeta function attains a local minimum for the body-centred cubic lattice.

cond-mat.mtrl-sci2024

Lattice Instabilities Along the Transformation from Hexagonal to Cuboidal Structures in Hard- and Soft-Sphere Models

Andres Robles-Navarro, Shaun Cooper, Andreas W. Hauser +3

The diffusionless Burgers-Bain phase transition from a hcp arrangement to a cuboidal lattice (fcc and bcc) is analysed in great detail for Lennard-Jones solids. From the lattice ve…