Interaction-induced Fermi-surface renormalization in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>Hubbard model close to the Mott-Hubbard transition

Tocchio, Luca F.; Becca, Federico; Gros, Claudius

doi:10.1103/physrevb.81.205109

Cited by 8 publications

(6 citation statements)

References 38 publications

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“…[56]). This value is in good agreement with earlier studies of the half-filled t-t -U Hubbard model [45,55]. Here, we use open boundary conditions which gives very good convergence, though at the expense of some small systematic error in determining gσ+ from the momentum-space structure factor; e.g., gσ+(L, n = 2) is slightly less than one at U/t = 0 which is due entirely to the usage of open boundary conditions.…”

Section: Further Analysis Of Gσ+ Dmrg Datasupporting

confidence: 93%

“…Eventually, above U/t 5.0 we see that g σ+ drops below unity and S q • S −q ∼ q 2 for small q, indicating the opening of a spin gap. We identify this strong Mott insulating phase as a fully gapped (C0S0) period-2 valence bond solid, which is continuously connected to the dimerized phase realized by the J 1 -J 2 Heisenberg model [54] (and also the on-site t-t -U Hubbard model at large U/t [55]). To this end, we turn to the dimer structure factor in Fig.…”

Section: Mott Metal-insulator Transition and Realization Of The Elect...mentioning

confidence: 97%

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Continuous Mott transition between a metal and a quantum spin liquid

et al. 2015

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More than half a century after first being proposed by Sir Nevill Mott, the deceptively simple question of whether the interaction-driven electronic metal-insulator transition may be continuous remains enigmatic. Recent experiments on two-dimensional materials suggest that when the insulator is a quantum spin liquid, lack of magnetic long-range order on the insulating side may cause the transition to be continuous, or only very weakly first order. Motivated by this, we study a half-filled extended Hubbard model on a triangular lattice strip geometry. We argue, through use of large-scale numerical simulations and analytical bosonization, that this model harbors a continuous (Kosterlitz-Thouless-like) quantum phase transition between a metal and a gapless spin liquid characterized by a spinon Fermi surface, i.e., a "spinon metal". These results may provide a rare insight into the development of Mott criticality in strongly interacting two-dimensional materials and represent one of the first numerical demonstrations of a Mott insulating quantum spin liquid phase in a genuinely electronic microscopic model.

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Section: Further Analysis Of Gσ+ Dmrg Datasupporting

confidence: 93%

Section: Mott Metal-insulator Transition and Realization Of The Elect...mentioning

confidence: 97%

Continuous Mott transition between a metal and a quantum spin liquid

et al. 2015

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“…We would like to mention that a Fermi-surface renormalization close to the Mott transition has already been described in the one-dimensional Hubbard model. 31 Also in that case, a perfectly nested Fermi surface, i.e., k F = ±π/2, is found. This consideration enforces the idea that the variational hopping ratio in two dimensions does not vanish accidentally at the Mott transition, but is renormalized in order to get perfect nesting of the underlying Fermi surface.…”

Section: A Fermi-surface Renormalizationmentioning

confidence: 73%

Strong renormalization of the Fermi-surface topology close to the Mott transition

Tocchio¹,

Becca²,

Gros³

2012

Phys. Rev. B

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The underlying Fermi surface is a key concept for strongly-interacting electron models and has been introduced to generalize the usual notion of the Fermi surface to generic (superconducting or insulating) systems. By using improved correlated wave functions that contain backflow and Jastrow terms, we examine the two-dimensional t−t ′ Hubbard model and find a non-trivial renormalization of the topology of the underlying Fermi surface close to the Mott insulator. Moreover, we observe a sharp crossover region, which arises from the metal-insulator transition, from a weakly interacting metal at small coupling to a resonating valence-bond superconductor at intermediate coupling. A violation of the Luttinger theorem is detected at low hole dopings.

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“…This new term allowed us also to observe a renormalization of the underlying Fermi sur-face to perfect nesting at the metal-insulator transition. 7 Backflow correlations have been also recently applied to the infinite-U Hubbard model to study the stability of the Nagaoka ferromagnetism. 8 When compared to former variational wave functions for frustrated Hubbard models, 9 (short-range) backflow correlations significantly improved the description of ground-state properties with respect to density-density Jastrow factors 10 and holon-doublon binding factors.…”

Section: Introductionmentioning

confidence: 99%

Backflow correlations in the Hubbard model: An efficient tool for the study of the metal-insulator transition and the large-Ulimit

2011

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We show that backflow correlations in the variational wave function for the Hubbard model greatly improve the previous results given by the Slater-Jastrow state, usually considered in this context. We provide evidence that, within this approach, it is possible to have a satisfactory connection with the strong-coupling regime. Moreover, we show that, for the Hubbard model on the lattice, backflow correlations are essentially short range, inducing an effective attraction between empty (holons) and doubly occupied sites (doublons). In presence of frustration, we report the evidence that the metal to Mott-insulator transition is marked by a discontinuity of the double occupancy, together with a similar discontinuity of the kinetic term that does not change the number of holons and doublons, while the other kinetic terms are continuous across the transition. Finally, we show the estimation of the charge gap, obtained by particle-hole excitationsà la Feynman over the ground-state wave function.

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Interaction-induced Fermi-surface renormalization in thet1−t2Hubbard model close to the Mott-Hubbard transition

Cited by 8 publications

References 38 publications

Continuous Mott transition between a metal and a quantum spin liquid

Continuous Mott transition between a metal and a quantum spin liquid

Strong renormalization of the Fermi-surface topology close to the Mott transition

Backflow correlations in the Hubbard model: An efficient tool for the study of the metal-insulator transition and the large-Ulimit

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