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Title: Communication: Fragment-based Hamiltonian model of electronic charge-excitation gaps and gap closure

Abstract

Capturing key electronic properties such as charge excitation gaps within models at or above the atomic scale presents an ongoing challenge to understanding molecular, nanoscale, and condensed phase systems. One strategy is to describe the system in terms of properties of interacting material fragments, but it is unclear how to accomplish this for charge-excitation and charge-transfer phenomena. Hamiltonian models such as the Hubbard model provide formal frameworks for analyzing gap properties but are couched purely in terms of states of electrons, rather than the states of the fragments at the scale of interest. The recently introduced Fragment Hamiltonian (FH) model uses fragments in different charge states as its building blocks, enabling a uniform, quantum-mechanical treatment that captures the charge-excitation gap. These gaps are preserved in terms of inter-fragment charge-transferhopping integrals T and on-fragment parameters U (FH). The FH model generalizes the standard Hubbard model (a single intra-band hopping integral t and on-site repulsion U) from quantum states for electrons to quantum states for fragments. In this paper, we demonstrate that even for simple two-fragment and multi-fragment systems, gap closure is enabled once T exceeds the threshold set by U (FH), thus providing new insight into the nature of metal-insulator transitions.more » Finally, this result is in contrast to the standard Hubbard model for 1d rings, for which Lieb and Wu proved that gap closure was impossible, regardless of the choices for t and U.« less

Authors:
 [1];  [1];  [1];  [2];  [2]; ORCiD logo [2];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Materials Science and Technology Division
  2. Univ. of New Mexico, Albuquerque, NM (United States). Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center for Materials at Irradiation and Mechanical Extremes (CMIME); Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of New Mexico, Albuquerque, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); Defense Threat Reduction Agency (DTRA)
OSTI Identifier:
1225985
Alternate Identifier(s):
OSTI ID: 1329873; OSTI ID: 1421243
Report Number(s):
LA-UR-15-24841
Journal ID: ISSN 0021-9606
Grant/Contract Number:  
AC52-06NA25396; 2008LANL1026; HDTRA1-09-1-008
Resource Type:
Published Article
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 143; Journal Issue: 18; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Valone, Steven Michael, Pilania, Ghanshyam, Liu, Xiang-Yang, Allen, Jonathan Robert, Wu, Tzu-Cheng, Atlas, Susan Rachel, and Dunlap, David H. Communication: Fragment-based Hamiltonian model of electronic charge-excitation gaps and gap closure. United States: N. p., 2015. Web. doi:10.1063/1.4935931.
Valone, Steven Michael, Pilania, Ghanshyam, Liu, Xiang-Yang, Allen, Jonathan Robert, Wu, Tzu-Cheng, Atlas, Susan Rachel, & Dunlap, David H. Communication: Fragment-based Hamiltonian model of electronic charge-excitation gaps and gap closure. United States. doi:10.1063/1.4935931.
Valone, Steven Michael, Pilania, Ghanshyam, Liu, Xiang-Yang, Allen, Jonathan Robert, Wu, Tzu-Cheng, Atlas, Susan Rachel, and Dunlap, David H. Fri . "Communication: Fragment-based Hamiltonian model of electronic charge-excitation gaps and gap closure". United States. doi:10.1063/1.4935931.
@article{osti_1225985,
title = {Communication: Fragment-based Hamiltonian model of electronic charge-excitation gaps and gap closure},
author = {Valone, Steven Michael and Pilania, Ghanshyam and Liu, Xiang-Yang and Allen, Jonathan Robert and Wu, Tzu-Cheng and Atlas, Susan Rachel and Dunlap, David H.},
abstractNote = {Capturing key electronic properties such as charge excitation gaps within models at or above the atomic scale presents an ongoing challenge to understanding molecular, nanoscale, and condensed phase systems. One strategy is to describe the system in terms of properties of interacting material fragments, but it is unclear how to accomplish this for charge-excitation and charge-transfer phenomena. Hamiltonian models such as the Hubbard model provide formal frameworks for analyzing gap properties but are couched purely in terms of states of electrons, rather than the states of the fragments at the scale of interest. The recently introduced Fragment Hamiltonian (FH) model uses fragments in different charge states as its building blocks, enabling a uniform, quantum-mechanical treatment that captures the charge-excitation gap. These gaps are preserved in terms of inter-fragment charge-transferhopping integrals T and on-fragment parameters U(FH). The FH model generalizes the standard Hubbard model (a single intra-band hopping integral t and on-site repulsion U) from quantum states for electrons to quantum states for fragments. In this paper, we demonstrate that even for simple two-fragment and multi-fragment systems, gap closure is enabled once T exceeds the threshold set by U(FH), thus providing new insight into the nature of metal-insulator transitions. Finally, this result is in contrast to the standard Hubbard model for 1d rings, for which Lieb and Wu proved that gap closure was impossible, regardless of the choices for t and U.},
doi = {10.1063/1.4935931},
journal = {Journal of Chemical Physics},
number = 18,
volume = 143,
place = {United States},
year = {2015},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
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DOI: 10.1063/1.4935931

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