Motivated by the recent angle-resolved photoemission spectroscopy (ARPES) measurements on one-dimensional Mott insulators, $\mathrm{Sr}\mathrm{Cu}{\mathrm{O}}_{2}$ and ${\mathrm{Na}}_{0.96}{\mathrm{V}}_{2}{\mathrm{O}}_{5}$ , we examine the single-particle spectral weight of the one-dimensional (1D) Hubbard model at half filling. We are particularly interested in the temperature dependence of the spinon and holon excitations. For this reason, we have performed the dynamical density matrix renormalization group and determinantal quantum Monte Carlo (QMC) calculations for the single-particle spectral weight of the 1D Hubbard model. In the QMC data, the spinon and holon branches become observable at temperatures where the short-range antiferromagnetic correlations develop. At these temperatures, the spinon branch grows rapidly. In the light of the numerical results, we discuss the spinon and holon branches observed by the ARPES experiments on $\mathrm{Sr}\mathrm{Cu}{\mathrm{O}}_{2}$ . These numerical results are also in agreement with the temperature dependence of the ARPES results on ${\mathrm{Na}}_{0.96}{\mathrm{V}}_{2}{\mathrm{O}}_{5}$ .Motivated by the recent angle-resolved photoemission spectroscopy (ARPES) measurements on one-dimensional Mott insulators, $\mathrm{Sr}\mathrm{Cu}{\mathrm{O}}_{2}$ and ${\mathrm{Na}}_{0.96}{\mathrm{V}}_{2}{\mathrm{O}}_{5}$, we examine the single-particle spectral weight of the one-dimensional (1D) Hubbard model at half filling. We are particularly interested in the temperature dependence of the spinon and holon excitations. For this reason, we have performed the dynamical density matrix renormalization group and determinantal quantum Monte Carlo (QMC) calculations for the single-particle spectral weight of the 1D Hubbard model. In the QMC data, the spinon and holon branches become observable at temperatures where the short-range antiferromagnetic correlations develop. At these temperatures, the spinon branch grows rapidly. In the light of the numerical results, we discuss the spinon and holon branches observed by the ARPES experiments on $\mathrm{Sr}\mathrm{Cu}{\mathrm{O}}_{2}$. These numerical results are also in agreement with the temperature dependence of the ARPES results on ${\mathrm{Na}}_{0.96}{\mathrm{V}}_{2}{\mathrm{O}}_{5}$.

arXiv:cond-mat/0505670Physical Review BAug 24, 200527 citations

One- and Two-Particle Excitations in Doped Mott-Hubbard Insulators

Peter Horsch, W. Stephan

Springer series in solid-state sciencesJan 1, 19931 citation

Spinon and holon excitations in one-dimensional correlated electron systems

Hiroaki Matsueda

Motivated by the recent angle‐resolved photoemission spectroscopy (ARPES) measurements on one‐dimensional Mott insulators, SrCuO2 and Na0.96V2O5, we examine the single‐particle spectral weight of the one‐dimensional (1D) Hubbard model at half‐filling and in the doped case. We are particularly interested in the temperature dependence of the spinon and holon excitations. For this reason, we have performed dynamical density matrix renormalization group and determinantal quantum Monte Carlo (QMC) calculations for the single‐particle spectral weight of the 1D Hubbard model. In the QMC data, the spinon and holon branches become observable at temperatures where the short‐range antiferromagnetic correlations develop. At these temperatures, the spinon branch grows rapidly. In the light of the numerical results, we discuss the spinon and holon branches observed by the ARPES experiments on SrCuO2. These numerical results are also in agreement with the temperature dependence of the ARPES results on Na0.96V2O5. In addition, we briefly discuss the spectral weight in the doped case.Motivated by the recent angle‐resolved photoemission spectroscopy (ARPES) measurements on one‐dimensional Mott insulators, SrCuO2 and Na0.96V2O5, we examine the single‐particle spectral weight of the one‐dimensional (1D) Hubbard model at half‐filling and in the doped case. We are particularly interested in the temperature dependence of the spinon and holon excitations. For this reason, we have performed dynamical density matrix renormalization group and determinantal quantum Monte Carlo (QMC) calculations for the single‐particle spectral weight of the 1D Hubbard model. In the QMC data, the spinon and holon branches become observable at temperatures where the short‐range antiferromagnetic correlations develop. At these temperatures, the spinon branch grows rapidly. In the light of the numerical results, we discuss the spinon and holon branches observed by the ARPES experiments on SrCuO2. These numerical results are also in agreement with the temperature dependence of the ARPES results on Na0.96V2O5. In addition, we briefly discuss the spectral weight in the doped case.

AIP conference proceedingsJan 1, 20060 citations

Dynamical Properties of One Dimensional Mott Insulators

Davide Controzzi, Fabian H. L. Eßler, Alexei M. Tsvelik

arXiv:cond-mat/0011439Springer eBooksJan 1, 20016 citations

Photoemission signatures of photoinduced carriers and excitons in one-dimensional Mott insulators

Taiga Nakamoto, Yuta Murakami, Naoto Tsuji

We theoretically study photoemission spectra for photodoped one-dimensional Mott insulators that can host excitons, and show that their spectral characteristics differ qualitatively from those of photodoped semiconductors. In conventional semiconductors, photoemission spectra are well understood; free charge carriers generate spectral weight near the bottom of the conduction band, while the formation of excitons leads to replica features of the valence band appearing inside the band gap. In one-dimensional Mott insulators, on the other hand, strong correlations give rise to fractionalized elementary excitations-spinons, holons, and doublons-which fundamentally modify the photoemission response. We find that when photodoped carriers, i.e., doublons and holons, remain unbound, the photoemission spectrum directly reflects the dispersion of spinons, i.e., magnetic elementary excitations. In contrast, when a doublon and a holon form an excitonic bound state, replica structures of the lower Hubbard band emerge inside the Mott gap, carrying contributions from both spinon and holon excitations. Importantly, the distribution of the in-gap signal depends sensitively on the degree of doublon-holon binding. The origin of these spectral features is clarified through a combination of exact diagonalization and the slave-particle approach. These results indicate that photoemission from photoinduced carriers and excitons in strongly correlated electron systems can provide information on magnetic properties and carrier-binding properties.We theoretically study photoemission spectra for photodoped one-dimensional Mott insulators that can host excitons, and show that their spectral characteristics differ qualitatively from those of photodoped semiconductors. In conventional semiconductors, photoemission spectra are well understood; free charge carriers generate spectral weight near the bottom of the conduction band, while the formation of excitons leads to replica features of the valence band appearing inside the band gap. In one-dimensional Mott insulators, on the other hand, strong correlations give rise to fractionalized elementary excitations-spinons, holons, and doublons-which fundamentally modify the photoemission response. We find that when photodoped carriers, i.e., doublons and holons, remain unbound, the photoemission spectrum directly reflects the dispersion of spinons, i.e., magnetic elementary excitations. In contrast, when a doublon and a holon form an excitonic bound state, replica structures of the lower Hubbard band emerge inside the Mott gap, carrying contributions from both spinon and holon excitations. Importantly, the distribution of the in-gap signal depends sensitively on the degree of doublon-holon binding. The origin of these spectral features is clarified through a combination of exact diagonalization and the slave-particle approach. These results indicate that photoemission from photoinduced carriers and excitons in strongly correlated electron systems can provide information on magnetic properties and carrier-binding properties.

arXiv:2603.18982Physical review. B./Physical review. BJun 12, 20260 citations

Motivated by the recent angle-resolved photoemission spectroscopy (ARPES) measurements on one-dimensional Mott insulators,

\mathrm{Sr}\mathrm{Cu}{\mathrm{O}}_{2}

and

{\mathrm{Na}}_{0.96}{\mathrm{V}}_{2}{\mathrm{O}}_{5}

, we examine the single-particle spectral weight of the one-dimensional (1D) Hubbard model at half filling. We are particularly interested in the temperature dependence of the spinon and holon excitations. For this reason, we have performed the dynamical density matrix renormalization group and determinantal quantum Monte Carlo (QMC) calculations for the single-particle spectral weight of the 1D Hubbard model. In the QMC data, the spinon and holon branches become observable at temperatures where the short-range antiferromagnetic correlations develop. At these temperatures, the spinon branch grows rapidly. In the light of the numerical results, we discuss the spinon and holon branches observed by the ARPES experiments on

\mathrm{Sr}\mathrm{Cu}{\mathrm{O}}_{2}

. These numerical results are also in agreement with the temperature dependence of the ARPES results on

{\mathrm{Na}}_{0.96}{\mathrm{V}}_{2}{\mathrm{O}}_{5}