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Title: X-ray photoemission spectroscopy in the Falicov-Kimball model

Abstract

We calculate the finite temperature x-ray photoemission spectroscopy for the Falicov-Kimball model using a Wiener-Hopf sum equation approach. In the metallic state, the core-hole spectral function shows two side peaks corresponding to the creation of a core hole on an empty site (or a doubly occupied site) and also has two nearly degenerate central peaks (because of our choice of the model parameters) corresponding to the creation of a core hole on a singly occupied site. The nearly doubly degenerate central peaks merge into a single peak at higher temperatures. In the insulating state, we obtain two peaks and a strongly temperature dependent low-energy peak corresponding to the creation of a core hole on a thermally excited empty site. Furthermore, these results for the insulating state should be similar to those of the more general Hubbard model. Also, the strong correlations suggest that even without any additional broadening due to Auger-like processes, the core-hole lifetime will be short.

Authors:
 [1];  [2];  [3]
+ Show Author Affiliations
  1. Indian Inst. of Technology, West Bengal (India); Kazi Nazrul Univ., West Bengal (India)
  2. Inst. for Condensed Matter Physics of the National Academy of Sciences of Ukraine, Lviv (Ukraine)
  3. Georgetown Univ., Washington, DC (United States)
Publication Date:
Research Org.:
Georgetown Univ., Washington, DC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1610014
Alternate Identifier(s):
OSTI ID: 1546189
Grant/Contract Number:  
FG02-08ER46542
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 12; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; materials science; physics; lattice models in condensed matter

Citation Formats

Pakhira, Nandan, Shvaika, A. M., and Freericks, J. K. X-ray photoemission spectroscopy in the Falicov-Kimball model. United States: N. p., 2019. Web. doi:10.1103/physrevb.99.125137.
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Pakhira, Nandan, Shvaika, A. M., & Freericks, J. K. X-ray photoemission spectroscopy in the Falicov-Kimball model. United States. https://doi.org/10.1103/physrevb.99.125137
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Pakhira, Nandan, Shvaika, A. M., and Freericks, J. K. 2019. "X-ray photoemission spectroscopy in the Falicov-Kimball model". United States. https://doi.org/10.1103/physrevb.99.125137. https://www.osti.gov/servlets/purl/1610014.
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@article{osti_1610014,
title = {X-ray photoemission spectroscopy in the Falicov-Kimball model},
author = {Pakhira, Nandan and Shvaika, A. M. and Freericks, J. K.},
abstractNote = {We calculate the finite temperature x-ray photoemission spectroscopy for the Falicov-Kimball model using a Wiener-Hopf sum equation approach. In the metallic state, the core-hole spectral function shows two side peaks corresponding to the creation of a core hole on an empty site (or a doubly occupied site) and also has two nearly degenerate central peaks (because of our choice of the model parameters) corresponding to the creation of a core hole on a singly occupied site. The nearly doubly degenerate central peaks merge into a single peak at higher temperatures. In the insulating state, we obtain two peaks and a strongly temperature dependent low-energy peak corresponding to the creation of a core hole on a thermally excited empty site. Furthermore, these results for the insulating state should be similar to those of the more general Hubbard model. Also, the strong correlations suggest that even without any additional broadening due to Auger-like processes, the core-hole lifetime will be short.},
doi = {10.1103/physrevb.99.125137},
url = {https://www.osti.gov/biblio/1610014}, journal = {Physical Review B},
issn = {2469-9950},
number = 12,
volume = 99,
place = {United States},
year = {Thu Mar 21 00:00:00 EDT 2019},
month = {Thu Mar 21 00:00:00 EDT 2019}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/physrevb.99.125137
Copyright Statement
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Citation Metrics:
Cited by: 2 works
Citation information provided by
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Figures / Tables:

FIG. 1 FIG. 1: The Kadanoff-Baym-Keldysh contour. The contour starts at time t = 0, moves forward in time along the real axis to time t then moves backward in time along the real axis to time t = 0 and finally moves downwards along the imaginary axis to time −iβ.
All figures and tables (6 total)
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Works referenced in this record:

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X-ray singularities in the f -electron spectral function of the Falicov-Kimball model
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    FIG. 1(p. 3)figure
    FIG. 2(p. 6)figure
    FIG. 3(p. 7)figure
    FIG. 4(p. 8)figure
    FIG. 5(p. 9)figure
    FIG. 6(p. 9)figure
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