Dynamical Mean Field Theory of Optical Third Harmonic Generation

• Jafari S. Akbar

  Institute for Materials Research, Tohoku University Department of Physics, Isfahan University of Technology

• Tohyama Takami

  Institute for Materials Research, Tohoku University

• Maekawa Sadamichi

  Institute for Materials Research, Tohoku University CREST, Japan Science and Technology Agency

Abstract

We formulate the third harmonic generation (THG) within the dynamical mean field theory (DMFT) approximation of the Hubbard model. In the limit of large dimensions, where DMFT becomes exact, the vertex corrections to current vertices are identically zero. Hence, the calculation of the THG spectrum reduces to a time-ordered convolution, followed by an appropriate analytic continuation. We present a typical THG spectrum of the Hubbard model obtained by this method. Within our DMFT calculation, we observe a nontrivial approximate scaling function describing the THG spectra in all Mott insulators, independent of the gap magnitude.

Journal

• Journal of the Physical Society of Japan

  Journal of the Physical Society of Japan 75 (8), 083706-, 2006

  THE PHYSICAL SOCIETY OF JAPAN

Keywords

• third harmonic generation
• Mott insulator
• dynamical mean field

Details

• CRID: 1390282679166625024
• NII Article ID: 110004799193
• NII Article ID: 210000106263
• NII Book ID: AA00704814
• DOI: 10.1143/jpsj.75.083706
• BIBCODE: 2006JPSJ...75h3706J
• ISSN: 13474073
• ISSN: 00319015
• NDL BIB ID: 8019756
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8019756
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.75.083706
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed