A Transcorrelated Wave-Function Framework for Solids: An Application to Bulk and Defected Silicon

Fuente: arXiv
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Autores principales: Simula, Kristoffer, Hauskrecht, Johannes, Christlmaier, Evelin Martine Corvid, Lopez-Rios, Pablo, Kats, Daniel, Usvyat, Denis, Alavi, Ali
Formato: Preprint
Publicado: 2025
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author Simula, Kristoffer
Hauskrecht, Johannes
Christlmaier, Evelin Martine Corvid
Lopez-Rios, Pablo
Kats, Daniel
Usvyat, Denis
Alavi, Ali
author_facet Simula, Kristoffer
Hauskrecht, Johannes
Christlmaier, Evelin Martine Corvid
Lopez-Rios, Pablo
Kats, Daniel
Usvyat, Denis
Alavi, Ali
contents Accurate wave-function descriptions of pristine and defected solids remain challenging due to the simultaneous presence of finite-size, basis-set, and correlation errors. While embedding techniques alleviate finite-size effects and correlated wave-function approaches systematically improve correlation, basis-set incompleteness continues to limit practical accuracy. Here we present a study of transcorrelated (TC) many-body wave-function methods on properties of solid state systems. We augment the existing xTC theory to periodic systems, and establish an unified transcorrelated embedding framework that integrates periodic TC theory with fragment-based correlated solvers. Using silicon as a test case, we validate the method against coupled-cluster, FCIQMC, and diffusion Monte Carlo benchmarks for bulk. Then we apply TC embedding to calculation of formation energies of two silicon self-interstitials. The TC Hamiltonian yields rapid basis convergence and quantitatively reliable defect formation energies at the triple-$ζ$ level, substantially reducing the basis-set bottleneck for wave-function treatments of crystalline defects.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08276
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Transcorrelated Wave-Function Framework for Solids: An Application to Bulk and Defected Silicon
Simula, Kristoffer
Hauskrecht, Johannes
Christlmaier, Evelin Martine Corvid
Lopez-Rios, Pablo
Kats, Daniel
Usvyat, Denis
Alavi, Ali
Materials Science
Computational Physics
Accurate wave-function descriptions of pristine and defected solids remain challenging due to the simultaneous presence of finite-size, basis-set, and correlation errors. While embedding techniques alleviate finite-size effects and correlated wave-function approaches systematically improve correlation, basis-set incompleteness continues to limit practical accuracy. Here we present a study of transcorrelated (TC) many-body wave-function methods on properties of solid state systems. We augment the existing xTC theory to periodic systems, and establish an unified transcorrelated embedding framework that integrates periodic TC theory with fragment-based correlated solvers. Using silicon as a test case, we validate the method against coupled-cluster, FCIQMC, and diffusion Monte Carlo benchmarks for bulk. Then we apply TC embedding to calculation of formation energies of two silicon self-interstitials. The TC Hamiltonian yields rapid basis convergence and quantitatively reliable defect formation energies at the triple-$ζ$ level, substantially reducing the basis-set bottleneck for wave-function treatments of crystalline defects.
title A Transcorrelated Wave-Function Framework for Solids: An Application to Bulk and Defected Silicon
topic Materials Science
Computational Physics
url https://arxiv.org/abs/2512.08276