NDLI: Positron-electron annihilation rates in an electron gas studied by variational Monte Carlo simulation

Content Provider	EDP Sciences
Author	E. Boroński
Abstract	The studies of the electron-positron (e-p) interaction in condensed matter using the quantum Monte Carlo (QMC) simulations brought only fragmentary or incorrect results and have been suspended for a longer time. In the present work using the variational quantum Monte Carlo (VQMC) method correct and reasonable annihilation rates for a positron in an electron gas (EG) in a wide range of electron densities have been obtained. This has been achieved owing to an appropriate construction of the trial function which takes into account the 3-particle correlations (i.e. the dependence of the e-e interaction on the distance from the positron) and Friedel oscillations of the e-p correlation function. The annihilation rates have been found by “direct determination" of e-p contact densities on the basis of the variational trial function. We also have found the scheme for calculating of the momentum-dependent enhancement factors (MDEF), quantities not achievable within the MC method until now.
Ending Page	481
Starting Page	475
Page Count	7
File Format	HTM / HTML PDF
ISSN	02955075
Alternate Webpage(s)	https://epljournal.edpsciences.org/articles/epl/abs/2006/15/epl9474/epl9474.html
e-ISSN	12864854
Issue Number	3
Journal	Europhysics Letters
Volume Number	75
DOI	10.1209/epl/i2006-10134-5
Language	English
Publisher	EDP Sciences
Publisher Date	2006-08-01
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	© EDP Sciences, 2006
Subject Keyword	Positron states Quantum Monte Carlo methods Electron gas, Fermi gas
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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