# X Conference of Young Scientists "Problems of Theoretical Physics"

23-24 December 2019
Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine
Europe/Kiev timezone

## X-ray photoemission spectra for the Falicov-Kimball model with correlated hopping

23 Dec 2019, 11:35
20m
322 (Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine)

### 322

#### Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine

Metrolohichna Str. 14b, Kyiv, Ukraine
Oral Condensed Matter Physics

### Speaker

Danylo Dobushovskyi (Institute for Condensed Matter of the National Academy of Sciences of Ukraine, Lviv)

### Description

We present the results of the investigation of X-ray photoemission spectra (XPS) for the strongly correlated electron system with both local and nonlocal correlations (correlated hopping). We consider the Falicov–Kimball model, the simplest model of strongly correlated electrons, extended by the inclusion of the interaction with deep core-hole state. Despite its simplicity, the Falicov–Kimball model has a metal-insulator transition for large Coulomb repulsion and is exactly solvable via dynamical mean-field theory in infinite dimensions. XPS response at finite temperatures is connected with the core-hole propagator, which is exactly expressed by the functional determinants on the Keldysh contour in time domain.
$~~~~~~$Present study is a continuation of our previous works, which considered the effect of correlated hopping on thermal transport and optical spectra. As we found previously for a wide range of the correlated hopping parameters, there are some singularities on the single-particle density of states and on the transport function (“quasiparticle” scattering time). Due to these anomalies and violation of the electron-hole symmetry, there is a huge enhancement of the thermoelectric properties and optical conductivity exhibits a number of interesting features in the vicinity of these singularities. We show to what extent these anomalous features can be manifested on the X-ray photoemission spectra at finite temperatures.

### Primary author

Danylo Dobushovskyi (Institute for Condensed Matter of the National Academy of Sciences of Ukraine, Lviv)

### Presentation Materials

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