11 citations · 30 across the 10 of their papers we have counts for
13 papers
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…
Computation of anisotropic singular sums from high-order derivatives of Epstein zeta functions
Andreas A. Buchheit, Jonathan K. Busse
The precise and efficient evaluation of large-scale lattice sums involving power-law kernels is a fundamental computational problem in the simulation of classical and quantum syste…
Numerical Solution of the Bardeen-Cooper-Schrieffer Equation for Unconventional Superconductors
Andreas A. Buchheit, Torsten Keßler, Sergej Rjasanow
In this work, we consider the analytical properties and the efficient numerical solution of the Bardeen-Cooper-Schrieffer equation for unconventional superconductivity incorporatin…
Non-local edge mode hybridization in the long-range interacting Kitaev chain
David Haink, Andreas A. Buchheit, Christof Weitenberg +1
In one-dimensional -wave superconductors with short-range interactions, topologically protected Majorana modes emerge, whose mass decays exponentially with system size, as first…
Zeta expansion for long-range interactions under periodic boundary conditions with applications to micromagnetics
Andreas A. Buchheit, Jonathan K. Busse, Torsten Keßler +1
We address the efficient computation of power-law-based interaction potentials of homogeneous -dimensional bodies with an infinite -dimensional array of copies, including the…
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…
Epstein zeta method for many-body lattice sums
Andreas A. Buchheit, Jonathan K. Busse
Many-body interactions arise naturally in the perturbative treatment of classical and quantum many-body systems and play a crucial role in the description of condensed matter syste…
Computation and properties of the Epstein zeta function with applications to quantum systems
Andreas A. Buchheit, Jonathan Busse, Ruben Gutendorf
The Epstein zeta function generalises the classical Riemann zeta function to oscillatory lattice sums in higher dimensions and has recently emerged as a key tool in the simulation…
On the computation of lattice sums without translational invariance
Andreas A. Buchheit, Torsten Keßler, Kirill Serkh
This paper introduces a new method for the efficient computation of oscillatory multidimensional lattice sums in geometries with boundaries. Such sums are ubiquitous in both pure a…
Exact Continuum Representation of Long-range Interacting Systems and Emerging Exotic Phases in Unconventional Superconductors
Andreas A. Buchheit, Torsten Keßler, Peter K. Schuhmacher +1
Continuum limits are a powerful tool in the study of many-body systems, yet their validity is often unclear when long-range interactions are present. In this work, we rigorously ad…
Singular Euler-Maclaurin expansion on multidimensional lattices
Andreas A. Buchheit, Torsten Keßler
We extend the classical Euler-Maclaurin expansion to sums over multidimensional lattices that involve functions with algebraic singularities. This offers a tool for the precise qua…
Singular Euler-Maclaurin expansion
Andreas A. Buchheit, Torsten Keßler
We present the singular Euler--Maclaurin expansion, a new method for the efficient computation of large singular sums that appear in long-range interacting systems in condensed mat…
Master equation for high-precision spectroscopy
Andreas Alexander Buchheit, Giovanna Morigi
The progress in high-precision spectroscopy requires one to verify the accuracy of theoretical models such as the master equation describing spontaneous emission of atoms. For this…