The dynamical structure factor of the SU(4) algebraic spin liquid on the honeycomb lattice
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910380611076096 |
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| author | Vörös, Dániel Penc, Karlo |
| author_facet | Vörös, Dániel Penc, Karlo |
| contents | We compute the momentum resolved dynamical spin structure factor $S(k,ω)$ of the SU(4) Heisenberg model on the honeycomb lattice assuming the $π$-flux Dirac spin liquid ground state by two methods: (i) variationally using Gutzwiller projected particle-hole excitations of the $π$-flux Fermi sea and (ii) in the non-interacting parton mean-field picture. The two approaches produce qualitatively similar results. Based on this analogy, we argue that the energy spectrum of the projected excitations is a gapless continuum of fractional excitations. Quantitatively, the Gutzwiller projection shifts the weight from higher to lower energies, thus emphasizing the lower edge of the continuum. In the mean-field approach, we obtained the $1/\text{distance}^4$ decay of the spin correlation function, and the local correlations show $S^{33}_{\text{MF}}(ω)\propto ω^3$ behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_16242 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The dynamical structure factor of the SU(4) algebraic spin liquid on the honeycomb lattice Vörös, Dániel Penc, Karlo Strongly Correlated Electrons We compute the momentum resolved dynamical spin structure factor $S(k,ω)$ of the SU(4) Heisenberg model on the honeycomb lattice assuming the $π$-flux Dirac spin liquid ground state by two methods: (i) variationally using Gutzwiller projected particle-hole excitations of the $π$-flux Fermi sea and (ii) in the non-interacting parton mean-field picture. The two approaches produce qualitatively similar results. Based on this analogy, we argue that the energy spectrum of the projected excitations is a gapless continuum of fractional excitations. Quantitatively, the Gutzwiller projection shifts the weight from higher to lower energies, thus emphasizing the lower edge of the continuum. In the mean-field approach, we obtained the $1/\text{distance}^4$ decay of the spin correlation function, and the local correlations show $S^{33}_{\text{MF}}(ω)\propto ω^3$ behavior. |
| title | The dynamical structure factor of the SU(4) algebraic spin liquid on the honeycomb lattice |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2306.16242 |