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Title: Infinite single-particle bandwidth of a Mott–Hubbard insulator

Abstract

The conventional viewpoint of the strongly correlated electron metal-insulator transition is that a single band splits into two upper and lower Hubbard bands at the transition. Much work has investigated whether this transition is continuous or discontinuous. Furthermore we focus on another aspect and ask the question of whether there are additional upper and lower Hubbard bands, which stretch all the way out to infinity — leading to an infinite single-particle bandwidth (or spectral range) for the Mott insulator. While we are not able to provide a rigorous proof of this result, we use exact diagonalization studies on small clusters to motivate the existence of these additional bands, and we discuss some different methods that might be utilized to provide such a proof. Even though the extra upper and lower Hubbard bands have very low total spectral weight, those states are expected to have extremely long lifetimes, leading to a nontrivial contribution to the transport density of states for dc transport and modifying the high temperature limit for the electrical resistivity.

Authors:
 [1];  [1];  [2];  [3]
  1. Georgetown Univ., Washington, DC (United States)
  2. Johannes Gutenberg Univ. Mainz (Germany)
  3. Indian Inst. of Science, Bangalore (India); Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore (India)
Publication Date:
Research Org.:
Georgetown Univ., Washington, DC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
OSTI Identifier:
1783720
Grant/Contract Number:  
FG02-08ER46542
Resource Type:
Accepted Manuscript
Journal Name:
International Journal of Modern Physics B
Additional Journal Information:
Journal Volume: 30; Journal Issue: 13; Journal ID: ISSN 0217-9792
Publisher:
World Scientific
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Mott–Hubbard insulator; Hubbard model; density of states

Citation Formats

Freericks, J. K., Cohn, J. R., van Dongen, P. G. J., and Krishnamurthy, H. R.. Infinite single-particle bandwidth of a Mott–Hubbard insulator. United States: N. p., 2016. Web. https://doi.org/10.1142/s0217979216420017.
Freericks, J. K., Cohn, J. R., van Dongen, P. G. J., & Krishnamurthy, H. R.. Infinite single-particle bandwidth of a Mott–Hubbard insulator. United States. https://doi.org/10.1142/s0217979216420017
Freericks, J. K., Cohn, J. R., van Dongen, P. G. J., and Krishnamurthy, H. R.. Wed . "Infinite single-particle bandwidth of a Mott–Hubbard insulator". United States. https://doi.org/10.1142/s0217979216420017. https://www.osti.gov/servlets/purl/1783720.
@article{osti_1783720,
title = {Infinite single-particle bandwidth of a Mott–Hubbard insulator},
author = {Freericks, J. K. and Cohn, J. R. and van Dongen, P. G. J. and Krishnamurthy, H. R.},
abstractNote = {The conventional viewpoint of the strongly correlated electron metal-insulator transition is that a single band splits into two upper and lower Hubbard bands at the transition. Much work has investigated whether this transition is continuous or discontinuous. Furthermore we focus on another aspect and ask the question of whether there are additional upper and lower Hubbard bands, which stretch all the way out to infinity — leading to an infinite single-particle bandwidth (or spectral range) for the Mott insulator. While we are not able to provide a rigorous proof of this result, we use exact diagonalization studies on small clusters to motivate the existence of these additional bands, and we discuss some different methods that might be utilized to provide such a proof. Even though the extra upper and lower Hubbard bands have very low total spectral weight, those states are expected to have extremely long lifetimes, leading to a nontrivial contribution to the transport density of states for dc transport and modifying the high temperature limit for the electrical resistivity.},
doi = {10.1142/s0217979216420017},
journal = {International Journal of Modern Physics B},
number = 13,
volume = 30,
place = {United States},
year = {2016},
month = {3}
}

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Works referenced in this record:

The Basis of the Electron Theory of Metals, with Special Reference to the Transition Metals
journal, July 1949


Zero Temperature Metal-Insulator Transition in the Infinite-Dimensional Hubbard Model
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Density of states of doped Hubbard clusters
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Spin and charge dynamics of the one-dimensional extended Hubbard model
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Single-Particle Excitations in Narrow Energy Bands
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Spectral properties of the Hubbard bands
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Filling of the Mott-Hubbard Gap in the High Temperature Photoemission Spectrum of (V0.972Cr0.028)2O3
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