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Title: Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results [Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and RPA+FLEX results]

Abstract

Here, we study the magnetic and charge dynamical response of a Hubbard model in a two-leg ladder geometry using the density matrix renormalization group (DMRG) method and the random phase approximation within the fluctuation-exchange approximation (FLEX). Our calculations reveal that FLEX can capture the main features of the magnetic response from weak up to intermediate Hubbard repulsion for doped ladders, when compared with the numerically exact DMRG results. However, while at weak Hubbard repulsion both the spin and charge spectra can be understood in terms of weakly interacting electron-hole excitations across the Fermi surface, at intermediate coupling DMRG shows gapped spin excitations at large momentum transfer that remain gapless within the FLEX approximation. For the charge response, FLEX can only reproduce the main features of the DMRG spectra at weak coupling and high doping levels, while it shows an incoherent character away from this limit. Overall, our analysis shows that FLEX works surprisingly well for spin excitations at weak and intermediate Hubbard U values even in the difficult low-dimensional geometry such as a two-leg ladder. Finally, we discuss the implications of our results for neutron scattering and resonant inelastic x-ray scattering experiments on two-leg ladder cuprate compounds.

Authors:
ORCiD logo [1];  [2];  [1]; ORCiD logo [3]; ORCiD logo [3];  [1];  [4]
+ Show Author Affiliations
  1. Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Univ. of Tennessee, Knoxville, TN (United States); Univ. de Sherbrooke, Sherbrooke, QC (Canada)
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  4. Univ. of Tennessee, Knoxville, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1440816
Alternate Identifier(s):
OSTI ID: 1439731
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 19; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Nocera, Alberto, Wang, Yan, Patel, Niravkumar D., Alvarez, Gonzalo, Maier, Thomas A., Dagotto, Elbio R., and Johnston, Steven S. Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results [Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and RPA+FLEX results]. United States: N. p., 2018. Web. doi:10.1103/physrevb.97.195156.
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Nocera, Alberto, Wang, Yan, Patel, Niravkumar D., Alvarez, Gonzalo, Maier, Thomas A., Dagotto, Elbio R., & Johnston, Steven S. Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results [Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and RPA+FLEX results]. United States. https://doi.org/10.1103/physrevb.97.195156
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Nocera, Alberto, Wang, Yan, Patel, Niravkumar D., Alvarez, Gonzalo, Maier, Thomas A., Dagotto, Elbio R., and Johnston, Steven S. Thu . "Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results [Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and RPA+FLEX results]". United States. https://doi.org/10.1103/physrevb.97.195156. https://www.osti.gov/servlets/purl/1440816.
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@article{osti_1440816,
title = {Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and FLEX results [Doping evolution of charge and spin excitations in two-leg Hubbard ladders: Comparing DMRG and RPA+FLEX results]},
author = {Nocera, Alberto and Wang, Yan and Patel, Niravkumar D. and Alvarez, Gonzalo and Maier, Thomas A. and Dagotto, Elbio R. and Johnston, Steven S.},
abstractNote = {Here, we study the magnetic and charge dynamical response of a Hubbard model in a two-leg ladder geometry using the density matrix renormalization group (DMRG) method and the random phase approximation within the fluctuation-exchange approximation (FLEX). Our calculations reveal that FLEX can capture the main features of the magnetic response from weak up to intermediate Hubbard repulsion for doped ladders, when compared with the numerically exact DMRG results. However, while at weak Hubbard repulsion both the spin and charge spectra can be understood in terms of weakly interacting electron-hole excitations across the Fermi surface, at intermediate coupling DMRG shows gapped spin excitations at large momentum transfer that remain gapless within the FLEX approximation. For the charge response, FLEX can only reproduce the main features of the DMRG spectra at weak coupling and high doping levels, while it shows an incoherent character away from this limit. Overall, our analysis shows that FLEX works surprisingly well for spin excitations at weak and intermediate Hubbard U values even in the difficult low-dimensional geometry such as a two-leg ladder. Finally, we discuss the implications of our results for neutron scattering and resonant inelastic x-ray scattering experiments on two-leg ladder cuprate compounds.},
doi = {10.1103/physrevb.97.195156},
journal = {Physical Review. B},
number = 19,
volume = 97,
place = {United States},
year = {Thu May 31 00:00:00 EDT 2018},
month = {Thu May 31 00:00:00 EDT 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/physrevb.97.195156
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Cited by: 11 works
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Figures / Tables:

FIG.1 FIG.1: (a) Superconducting gap function (in units ofmore » $t$) computed with RPA+FLEX as a function of space and leg index ($α$ corresponds to lower leg, while $β$ to upper leg). Here, $U$/$t$ = 6.0, electron filling $n$ = 0.96. The inset in (a) is a pictorial representation of the pairing gap at first few sites of the two-leg ladder, with one of the electron fixed at site-0 of the lower leg. The upward triangle means a positive gap and the downward triangle means a negative gap and the size of the triangle is proportional to the gap magnitude. (b) Rung-rung, rung-leg, and rung-diagonal pair singlet correlation functions computed with DMRG as a function of the distance from the center of the ladder. Here, $U$/$t$ = 6.0, $n$ = 0.875. (c) Maximal anomalous self-energy (in units of $t$) in the first Brillouin zone computed in RPA+FLEX as a function of electron filling and different values of $U$, as indicated. (d) Pairing strength computed with DMRG as a function of electron filling, for different values of $U$, as indicated. The pairing strength is computed from the rung-rung pair singlet correlation functions as $\bar{D}$ = $Σ^{j=12}_{j=6}$ $P$($j$)/$P$(1), where $P$($j$) = $\langle$$Δ^{†}_{r}$($c$)$Δ$$r$($c$ + $j$)$\rangle$. The persistent background at $U$/$t$ = 2 over a wide range of doping originates in short distance correlations even in the non-interacting limit.« less
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    Works referencing / citing this record:

    Fingerprints of an orbital-selective Mott phase in the block magnetic state of BaFe2Se3 ladders
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    Pseudogap in the c -axis (along the ladder) optical conductivity of t   −   J ladders and its quasiparticle interpretation
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    Fingerprints of an Exotic Orbital-Selective Mott Phase in the Block Magnetic State of BaFe$_2$Se$_3$ Ladders
    text, January 2018

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      FIG. 6 (p. 8)figure
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