Spectral properties near the Mott transition in the two-dimensional t-J model with next-nearest-neighbor hopping

Kohno, Masanori

doi:10.1016/j.physb.2017.09.084

Cited by 7 publications

(31 citation statements)

References 119 publications

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“…This feature of the doping-induced states has also been pointed out in the Hubbard chain [29], two-dimensional (2D) Hubbard model [36], t-J chain [39], 2D t-J model [26], and t-J ladder [27], as well as in a system with antiferromagnetic order [40]. In the Hubbard ladder considered in this paper, the mode of the doping-induced sates has an energy gap because the spin excitation at halffilling has an energy gap (Fig.…”

Section: A Doping-induced Statessupporting

confidence: 62%

“…In contrast, the interpretation described above as well as in Refs. [5,26,27,29,36,[39][40][41] can naturally and collectively explain the behavior of the doping-induced states in the Hubbard and t-J chains [29,39] and the Hubbard and t-J ladders [27] (Figs. 2 and 6) as well as in the 2D Hubbard and t-J models [5,26,36], which implies that this interpretation captures the essence of the Mott transition.…”

Section: A Doping-induced Statesmentioning

confidence: 93%

“…If a Mott insulator is characterized by ∆ s ≪ ∆ c , what characterizes the Mott transition should also reflect it. If only the ground-state properties are considered, the Mott transition in a dimerized system, such as the Hubbard ladder for U ≫ t ⊥ ≫ t at half-filling, is essentially the same as the transition to a band insulator [5,26,27,29,36,[39][40][41]. The above argument implies that the Mott transition is characterized by the dopinginduced states that exhibit the momentum-shifted magnetic dispersion relation rather than critical exponents or order parameters.…”

Section: B What Characterizes the Mott Transitionmentioning

confidence: 99%

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Emergence and spectral-weight transfer of electronic states in the Hubbard ladder

Kohno

2019

Phys. Rev. B

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The number of electronic bands is usually considered invariant regardless of the electron density in a band picture. However, in interacting systems, the spectral-weight distribution generally changes depending on the electron density, and electronic states can even emerge or disappear as the electron density changes. Here, to clarify how electronic states emerge and become dominant as the electron density changes, the spectral function of the Hubbard ladder with strong repulsion and strong intrarung hopping is studied using the non-Abelian dynamical density-matrix renormalization-group method. A mode emerging in the low-electron-density limit gains spectral weight as the electron density increases and governs the dimer Mott physics at quarter-filling. In contrast, the antibonding band, which is dominant in the low-electron-density regime, loses spectral weight and disappears at the Mott transition at half-filling, exhibiting the momentum-shifted magnetic dispersion relation in the small-doping limit. This paper identifies the origin of the electronic states responsible for the Mott transition and brings a new perspective to electronic bands by revealing the overall nature of electronic states over a wide energy and electron-density regime.

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Section: A Doping-induced Statessupporting

confidence: 62%

Section: A Doping-induced Statesmentioning

confidence: 93%

Section: B What Characterizes the Mott Transitionmentioning

confidence: 99%

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Emergence and spectral-weight transfer of electronic states in the Hubbard ladder

Kohno

2019

Phys. Rev. B

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“…It has been shown that the electron-addition excitation (ω > 0) can be effectively represented by a single mode in the t-J models near the Mott transition (at each k ⊥ for the ladder and bilayer) [Figs. 1(c), 1(f), 1(i), and 1(l)] [8,9,12]. However, if the spectral weight is spread over a wide range of ω at each k, as observed in the electron-removal excitation (ω < 0) in the t-J and Hubbard models [Figs.…”

Section: Single-mode Approximation For Spectral Functionmentioning

confidence: 96%

“…However, recent studies on electronic excitation near the Mott transition in the one-dimensional (1D), twodimensional (2D), and ladder Hubbard and t-J models [5][6][7][8][9][10][11][12][13] have indicated that an electronic mode in the Hubbard gap loses its spectral weight and exhibits the magnetic dispersion relation shifted by the Fermi momentum in the small-doping limit. This implies that the charge degrees of freedom freeze while the spin degrees of freedom remain active in the Mott transition.…”

Section: Introductionmentioning

confidence: 99%

Mott transition and electronic excitation of the Gutzwiller wavefunction

Kohno

2020

Preprint

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The Mott transition is usually considered as resulting from the divergence of the effective mass of the quasiparticle in the Fermi-liquid theory; the dispersion relation around the Fermi level is considered to become flat towards the Mott transition. Here, to clarify the characterization of the Mott transition under the assumption of a Fermi-liquid-like ground state, the electron-addition excitation from the Gutzwiller wavefunction in the t-J model is investigated on a chain, ladder, square lattice, and bilayer square lattice in the single-mode approximation using a Monte Carlo method. The numerical results demonstrate that an electronic mode that is continuously deformed from a noninteracting band at zero electron density loses its spectral weight and gradually disappears towards the Mott transition. It exhibits essentially the magnetic dispersion relation shifted by the Fermi momentum in the small-doping limit as indicated by recent studies for the Hubbard and t-J models, even if the ground state is assumed to be a Fermi-liquid-like state exhibiting gradual disappearance of the quasiparticle weight. This implies that, rather than as the divergence of the effective mass or disappearance of the carrier density that is expected in conventional single-particle pictures, the Mott transition can be better understood as freezing of the charge degrees of freedom while the spin degrees of freedom remain active, even if the ground state is like a Fermi liquid.

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Characteristics of the Mott transition and electronic states of high-temperature cuprate superconductors from the perspective of the Hubbard model

Kohno

2018

Rep. Prog. Phys.

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A fundamental issue of the Mott transition is how electrons behaving as single particles carrying spin and charge in a metal change into those exhibiting separated spin and charge excitations (low-energy spin excitation and high-energy charge excitation) in a Mott insulator. This issue has attracted considerable attention particularly in relation to high-temperature cuprate superconductors, which exhibit electronic states near the Mott transition that are difficult to explain in conventional pictures. Here, from a new viewpoint of the Mott transition based on analyses of the Hubbard model, we review anomalous features observed in high-temperature cuprate superconductors near the Mott transition.

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Spectral properties near the Mott transition in the two-dimensional t-J model with next-nearest-neighbor hopping

Cited by 7 publications

References 119 publications

Emergence and spectral-weight transfer of electronic states in the Hubbard ladder

Emergence and spectral-weight transfer of electronic states in the Hubbard ladder

Mott transition and electronic excitation of the Gutzwiller wavefunction

Characteristics of the Mott transition and electronic states of high-temperature cuprate superconductors from the perspective of the Hubbard model

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