Holon-doublon binding as the mechanism for the Mott transition

Prelovšek, P.; Kokalj, Jure; Lenarčič, Zala; McKenzie, Ross H.

doi:10.1103/physrevb.92.235155

Cited by 13 publications

(9 citation statements)

References 51 publications

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“…In summary , we have provided an asymptotic solution of the Hubbard model in the large-z limit to capture the most essential Mott physics, i.e., the excitonic binding between oppositely charged doublons and holons [33][34][35][36][37]40 . In the Mott insulator, where the D-H binding theory simplifies considerably as all doublons and holons are bound in real space into excitonic pairs, the motion of the QP must involve breaking the D/H pairs and thus amounts entirely to incoherent excitations above the charge gap set by the D-H binding energy.…”

Section: Summaries and Discussionmentioning

confidence: 99%

“…This idea was advocated sometime ago 1,[31][32][33] and studied in the context of improved variational Gutzwiller wave functions 34,35 . More recently, the idea has been made more explicit in the field theory description 36 , improved saddle-point solution 37 of the Kotliar-Ruckenstein slaveboson functional integral formulation of the Hubbard model 38 , and other numerical 39,40 approaches. The static saddle-point solution of the slave-boson path integral 38 correctly captures the Gutzwiller approximation 21 and gives rise to the Brinkman-Rice (BR) metal-insulator transition at U BR 22,38 where the renormalized mass of the QPs diverges and the band becomes flat.…”

Section: Introductionmentioning

confidence: 99%

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Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large- z limit

2020

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The Mott metal-insulator transition in the Hubbard model is studied by constructing a dynamical slave-boson mean-field theory in the limit of large lattice coordination number z that incorporates the binding between doubly occupied (doublon) and empty (holon) sites. On the Mott insulating side where all doublons and holons bond in real space into excitonic pairs leading to the charge gap, the theory simplifies considerably to leading order in 1/ √ z, and becomes exact on the infinite-z Bethe lattice. An asymptotic solution is obtained for a continuous Mott transition associated with the closing of the charge gap at a critical value of the Hubbard Uc and the corresponding doublon density n c d , hopping χ c d and doublon-holon pairing ∆ c d amplitudes. We findwhere UBR is the critical value for the Brinkman-Rice transition in the Gutzwiller approximation captured in the static mean-field solution of the slave-boson formulation of Kotliar and Ruckenstein. Thus, the Mott transition can be viewed as the quantum correction to the Brinkman-Rice transition due to doublon-holon binding. Quantitative comparisons are made to the results of the dynamical mean-field theory, showing good agreement. In the absence of magnetic order, the Mott insulator is a U (1) quantum spin liquid with nonzero intersite spinon hopping that survives the large-z limit and lifts the 2 N -fold degeneracy of the local moments. We show that the spinons are coupled to the doublons/holons by a dissipative compact U (1) gauge field in the deconfined phase, realizing the spin-charge separated gapless spin liquid Mott insulator.

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Section: Summaries and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large- z limit

2020

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“…Pump-probe spectroscopy has been performed in strongly correlated systems to investigate exotic phenomena [4,15,[29][30][31][32][33][34][35][36][37][38][39]. Even in correlated electron systems, there is a continuum structure in the excitation spectrum.…”

Section: Hubbard Modelmentioning

confidence: 99%

Ultrafast transient interference in pump-probe spectroscopy of band and Mott insulators

Shinjo

Tohyama

2018

Phys. Rev. B

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Ultrafast pump-probe spectroscopy with high temporal and spectral resolutions provides new insight into ultrafast nonequilibrium phenomena. We propose that transient interference between pump and probe pulses is realized in pump-probe spectroscopy of band and Mott insulators, which can be observed only after recent developments of ultrafast spectroscopic techniques. A continuum structure in the excitation spectrum of band insulators is found to act as a medium for storing the spectral information of the pump pulse, and the spectrum detected by the probe pulse is interfered with by the medium, generating the transient interference in the energy domain. We also demonstrate the transient interference in the presence of electron correlations in a one-dimensional half-filled Hubbard model. Furthermore, bosons coupled to electrons additively contribute to the interference. Our finding will provide an interpretation of probe-energy-dependent oscillations recently observed in the pump-probe spectrum for a two-dimensional Mott insulator.

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“…In 2D, where order is forbidden at T > 0, the low-energy physics is dominated by short-ranged spin fluctuations [13][14][15][16][17][18]. On the scale of U , charge fluctuations create empty sites (holons) and doubly-occupied sites (doublons), whose tendency to form bound states has been proposed as the key to the high-energy physics of the Mott insulator [19][20][21][22][23][24][25][26]. Clearly a full description requires a proper account of both charge and spin fluctuations [27].…”

Section: Introductionmentioning

confidence: 99%

Finite-temperature charge dynamics and the melting of the Mott insulator

Han

Chen

et al. 2019

Phys. Rev. B

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The Mott insulator is the quintessential strongly correlated electronic state. We obtain complete insight into the physics of the two-dimensional Mott insulator by extending the slave-fermion (holondoublon) description to finite temperatures. We first benchmark its predictions against state-of-theart quantum Monte Carlo simulations, demonstrating quantitative agreement. Qualitatively, the short-ranged spin fluctuations both induce holon-doublon bound states and renormalize the charge sector to form the Hubbard bands. The Mott gap is understood as the charge gap renormalized downwards by these spin fluctuations. As temperature increases, the Mott gap closes before the charge gap, causing a pseudogap regime to appear naturally during the melting of the Mott insulator.

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Holon-doublon binding as the mechanism for the Mott transition

Cited by 13 publications

References 51 publications

Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large- z limit

Dynamical slave-boson mean-field study of the Mott transition in the Hubbard model in the large- z limit

Ultrafast transient interference in pump-probe spectroscopy of band and Mott insulators

Finite-temperature charge dynamics and the melting of the Mott insulator

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