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

Journal Article · · Physical Review B
 [1];  [2];  [3]
  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)

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.

Research Organization:
Georgetown Univ., Washington, DC (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
Grant/Contract Number:
FG02-08ER46542
OSTI ID:
1610014
Alternate ID(s):
OSTI ID: 1546189
Journal Information:
Physical Review B, Vol. 99, Issue 12; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (42)

The Two-Dimensional Ising Model book December 1973
Wiener–Hopf Method Applied to the X-ray Edge Problem journal November 1997
Infrared Catastrophe in Fermi Gases with Local Scattering Potentials journal June 1967
Thef-electron spectrum of the spinless Falicov-Kimball model in large dimensions journal October 1992
Exact dynamical mean-field theory of the Falicov-Kimball model journal October 2003
F -electron spectral function of the Falicov-Kimball model in infinite dimensions: The half-filled case journal March 2005
The renormalization group: Critical phenomena and the Kondo problem journal October 1975
Theory of core-level photoemission and the x-ray edge singularity across the Mott transition journal March 2007
Numerical renormalization group approach to Green’s functions for quantum impurity models journal December 2006
Spin precession and real-time dynamics in the Kondo model: Time-dependent numerical renormalization-group study journal December 2006
Exact solution of a variety of X-ray probes in the Falicov-Kimball model with dynamical mean-field theory journal December 2012
JaxoDraw: A graphical user interface for drawing Feynman diagrams journal August 2004
Many-electron singularity in X-ray photoemission and X-ray line spectra from metals journal February 1970
X-ray response of the Luttinger model journal August 1992
Orthogonality catastrophe in a one-dimensional system of correlated electrons journal April 1998
Nature of the Well Screened State in Hard X-Ray Mn 2 p Core-Level Photoemission Measurements of L a 1 x S r x M n O 3 Films journal November 2004
Theory of thermal relaxation of electrons in metals journal September 1987
F-electron spectral function of the Falicov-Kimball model and the Wiener-Hopf sum equation approach journal September 2008
Simple Model for Semiconductor-Metal Transitions: Sm B 6 and Transition-Metal Oxides journal May 1969
Renormalization-group approach to the Anderson model of dilute magnetic alloys. I. Static properties for the symmetric case journal February 1980
Falicov-Kimball model and the breaking of Fermi-liquid theory in infinite dimensions journal July 1992
Raman scattering through a metal-insulator transition journal September 2001
Renormalization-group approach to the Anderson model of dilute magnetic alloys. II. Static properties for the asymmetric case journal February 1980
Singularities in the X-Ray Absorption and Emission of Metals. III. One-Body Theory Exact Solution journal February 1969
Excitons in Metals: Infinite Hole Mass journal November 1967
Exact solution of the multicomponent Falicov-Kimball model in infinite dimensions journal October 2001
Bulk screening in core-level photoemission from Mott-Hubbard and charge-transfer systems journal April 2005
Thermodynamics and correlation functions of the Falicov-Kimball model in large dimensions journal September 1989
Real-Time Dynamics in Quantum-Impurity Systems: A Time-Dependent Numerical Renormalization-Group Approach journal October 2005
Core-Level X-Ray Photoemission Satellites in Ruthenates: A New Mechanism Revealing The Mott Transition journal September 2004
Coherent Peaks and Minimal Probing Depth in Photoemission Spectroscopy of Mott-Hubbard Systems journal September 2006
Sum-Rule Conserving Spectral Functions from the Numerical Renormalization Group journal August 2007
Numerical renormalization group method for quantum impurity systems journal April 2008
Exact theory for electronic Raman scattering of correlated materials in infinite dimensions journal December 2001
X-ray singularities in the f -electron spectral function of the Falicov-Kimball model journal March 2005
Core-Level X-Ray Photoemission Satellites in Ruthenates: A New Mechanism Revealing the Mott Transition text January 2004
Bulk screening in core level photoemission from Mott-Hubbard and Charge-Transfer systems text January 2004
F-electron spectral function of the Falicov-Kimball model in infinite dimensions: the half-filled case text January 2004
A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models text January 2006
Theory of Core-Level Photoemission and the X-ray Edge Singularity Across the Mott Transition text January 2006
The numerical renormalization group method for quantum impurity systems text January 2007
Orthogonality catastrophe in a one-dimensional system of correlated electrons text January 1997

Figures / Tables (6)


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