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Title: Origin of strong dispersion in Hubbard insulators

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [2];  [3];  [4];  [5];  [4];  [6];  [4]
  1. Stanford Univ., CA (United States). Dept. of Applied Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES); Univ. of Warsaw (Poland). Inst. of Theoretical Physics
  3. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES); Univ. of North Dakota, Grand Forks, ND (United States). Dept. of Physics and Astrophysics
  4. SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
  5. Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS); Northern Illinois Univ., DeKalb, IL (United States). Dept. of Physics
  6. Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source (APS)
+ Show Author Affiliations

Using cluster perturbation theory, we explain the origin of the strongly dispersive feature found at high binding energy in the spectral function of the Hubbard model. By comparing the Hubbard and $t₋J₋3s$ model spectra, we show that this dispersion does not originate from either coupling to spin fluctuations ($∝ J$ ) or the free hopping ($∝ t$ ). Instead, it should be attributed to a long-range, correlated hopping $∝ t²/U$ which allows an effectively free motion of the hole within the same antiferromagnetic sublattice. This origin explains both the formation of the high-energy anomaly in the single-particle spectrum and the sensitivity of the high-binding-energy dispersion to the next-nearest-neighbor hopping $t'$ .

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-06CH11357; AC02-05CH11231; AC02-76SF00515; FG02-03ER46097; 2012/04/A/ST3/00331
OSTI ID:
1327005
Alternate ID(s):
OSTI ID: 1209844
Report Number(s):
slac-pub-16721; PRBMDO
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 92, Issue 7; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

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Temperature and doping dependence of high-energy kink in cuprates text January 2007
Effect of strong correlations on the high energy anomaly in hole- and electron-doped high-Tc superconductors text January 2008
Spectral Properties near the Mott Transition in the One-Dimensional Hubbard Model text January 2010
Intense paramagnon excitations in a large family of high-temperature superconductors text January 2011
Mott Transition in the Two-Dimensional Hubbard Model text January 2012
Persistence of magnetic excitations in La2-xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal text January 2013
Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering text January 2013
Asymmetry of collective excitations in electron and hole doped cuprate superconductors text January 2013
High-energy spin and charge excitations in electron-doped copper oxide superconductors text January 2014
Spectral properties near the Mott transition in the two-dimensional Hubbard model with next-nearest-neighbor hopping text January 2014
Relationship between single-particle excitation and spin excitation at the Mott Transition text January 2014
The dynamics of a doped hole in cuprates is not controlled by spin fluctuations text January 2014
Anomalous low doping phase of the Hubbard model text January 2000
Spin-charge separation in the single hole doped Mott antiferromagnet text January 2000
A universal high energy anomaly in angle resolved photoemission spectra of high temperature superconductors - possible evidence of spinon and holon branches text January 2006
High-energy scale revival and giant kink in the dispersion of a cuprate superconductor text January 2006
High energy kink in the single particle spectra of the two-dimensional Hubbard model text January 2007
String excitations of a hole in a quantum antiferromagnet and photoelectron spectrospopy text January 2007
Range of the t--J model parameters for CuO$_{2}$ plane: experimental data constraints text January 1994
Quasiparticle Dispersion of the 2D Hubbard Model: From an Insulator to a Metal text January 1994
Single hole dispersion relation for the real CuO$_2$ plane text January 1996
Hubbard model versus t-J model: The one-particle spectrum text January 1996
Strong-Coupling Expansion for the Hubbard Model text January 1997

Cited By (4)

Photoemission spectrum of Ca 2 RuO 4 : Spin polaron physics in an S = 1 antiferromagnet with anisotropies journal January 2020
Theoretical understanding of photon spectroscopies in correlated materials in and out of equilibrium journal August 2018
Effect of Short-Range Correlations on Spectral Properties of Doped Mott Insulators journal November 2018
Influence of spin and charge fluctuations on spectra of the two-dimensional Hubbard model journal April 2018

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