Materials ML | Atomistic simulation | Polarons

Bradley Martin

Theoretical physicist and materials machine-learning researcher building source-aware atomistic models, generative tools for crystal design, and path-integral methods for electron-phonon physics.

Research

Physics-informed learning for materials response

The recurring thread is to make models respect the variables that matter physically: applied fields, crystal structure, phonons, charge carriers, and the response functions that connect them.

Field-aware atomistic models

Machine-learning interatomic potentials for dielectric and ferroelectric response, where polarization, Born charges, polarizability, and spectra are obtained by differentiating a shared scalar functional.

Generative materials design

Property-conditioned crystal generation and structure recovery workflows, including CrystaLLM-pi tools for inverse design and diffraction-conditioned prediction.

Polarons and path integrals

Variational path-integral theory for charge-carrier mobility, electron-phonon coupling, optical conductivity, and high-throughput screening of polar semiconductors.

Animated charge-density isosurfaces
Animated charge and dipole response

CV

Download CV

Academic CV available as a PDF.

Download CV PDF

Software

Research software and public tools

Research code, public web tools, and teaching repositories are collected here for quick access.

Research software

MACEField

Electric-field-aware MACE models for derivative-consistent polarization, Born effective charges, polarizability, and finite-field molecular dynamics.

Julia package

PolaronMobility.jl

Variational polaron calculations, DC mobility estimates, and frequency-dependent response for continuum and lattice models.

Public web tool

CrystaLLM-pi webapp

Browser interface for CrystaLLM-pi generation jobs, including composition input, optional XRD conditioning, structure visualisation, and CIF download.

Julia code

PolaronQMC.jl

Path-integral quantum Monte Carlo code for polarons, developed alongside broader path-integral work in the Frost group.

Teaching

Teaching material and thesis

Public teaching repositories and thesis material for students and collaborators.

Diffusion model tutorial

Notebook sequence for diffusion fundamentals, crystal diffusion from scratch, and modern crystal-generation workflows.

Open link

Royce/PSDI CrystaLLM-pi training

Workshop material on transformer models for crystal generation, property conditioning, and hands-on CrystaLLM-pi notebooks.

Open link

Thesis

Path Integral Methods for Polarons in Real Materials, PhD thesis, Imperial College London, Department of Physics, October 2024.

Open link

Publications

Selected papers and profiles

The list highlights recent materials-ML, generative-design, and polaron publications, with full records on ORCID and Google Scholar.

General Learning of the Electric Response of Inorganic Materials

Bradley A. A. Martin, Alex M. Ganose, Venkat Kapil, Tingwei Li, and Keith T. Butler

PRX Intelligence 1, 013006, 2026

MACEField paper: electric enthalpy learning for polarization, Born effective charges, polarizability, and finite-field molecular dynamics.

Discovery and recovery of crystalline materials with property-conditioned transformers

Cyprien Bone, Matthew Walker, Bradley A. A. Martin, et al.

arXiv:2511.21299, revised 2026

CrystaLLM-pi property injection for structure recovery, XRD-conditioned generation, and inverse materials design.

Six Open Questions in Machine-Learned Interatomic Potential Foundation Models

I. Creed et al., including Bradley A. A. Martin

arXiv:2606.07327, 2026

Perspective on definitions, limits, and research directions for foundation models in atomistic simulation.

Accelerating molecular dynamics by going with the flow

Ahmed Y. Ismail, Bradley A. A. Martin, and Keith T. Butler

Nature Machine Intelligence 7, 1598-1599, 2025

News & Views article on generative AI approaches to accelerating molecular dynamics.

Predicting polaron mobility in organic semiconductors with the Feynman variational approach

Bradley A. A. Martin and Jarvist Moore Frost

arXiv:2207.06846, revised 2024

Variational path-integral treatment of organic-semiconductor polaron mobility.

Talks

Selected presentations

Recent and upcoming talks span response-aware machine learning, polarons, path integrals, and AI methods for materials simulation.

Contact

Collaborations, talks, software, and research conversations

Especially relevant topics include machine-learning interatomic potentials, finite-field simulations, CrystaLLM-pi workflows, polarons, electron-phonon physics, and spectroscopy-facing theory.