Single-hole spectral function and spin-charge separation in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>J</mml:mi></mml:math>model

Mishchenko, А. S.; Prokof’ev, Nikolay; Svistunov, Boris

doi:10.1103/physrevb.64.033101

Cited by 84 publications

(115 citation statements)

References 33 publications

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“…Numerical and analytical studies on the one-hole system [19][20][21] find a quasiparticle in the t-J model with weight J / t at ͑ /2, /2͒ whereas in the Hubbard model, 22 the quasiparticle weight vanishes as Z ϰ L − , Ͼ 0, L the system size. Variational calculations 23 also yield a finite value of Z in the extrapolated limit of n =1 − .…”

Section: ͑35͒mentioning

confidence: 99%

Theory of the Luttinger surface in doped Mott insulators

2007

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We prove that the Mott insulating state is characterized by a divergence of the electron self-energy at well-defined values of momenta in the first Brillouin zone. When particle-hole symmetry is present, the divergence obtains at the momenta of the Fermi surface for the corresponding noninteracting system. Such a divergence gives rise to a surface of zeros ͑the Luttinger surface͒ of the single-particle Green function and offers a single unifying principle of Mottness from which pseudogap phenomena, spectral weight transfer, and broad spectral features emerge in doped Mott insulators. We also show that only when particle-hole symmetry is present does the volume of the zero surface equal the particle density. We identify that the general breakdown of Luttinger's theorem in a Mott insulator arises from the breakdown of a perturbative expansion for the self-energy in the single-particle Green function around the noninteracting limit. A modified version of Luttinger's theorem is derived for special cases.

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Section: ͑35͒mentioning

confidence: 99%

Theory of the Luttinger surface in doped Mott insulators

2007

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“…Here we use first principle Monte Carlo simulations to quantitatively investigate the single-hole dispersion relation and quasiparticle weight. To achieve this goal, we have implemented a technique similar to the ones used in [5,6] to simulate the one-hole sector of the t-J model. To calculate the fermion two-point functions in momentum space, one should keep in mind that the Brillouin zone of the honeycomb lattice is doubly covered.…”

Section: Single Hole Dispersion Relationmentioning

confidence: 99%

“…Despite these difficulties, much effort has been devoted to understanding the properties of t-Jtype models on the square lattice. Although some controversial results have been obtained, various studies including exact diagonalization [2,3], series expansion [4], and Monte Carlo simulations [5,6] enable us to understand the hole-dynamics quantitatively, at least to some extent. In particular, these studies all obtained minima of the single-hole dispersion relation at lattice momenta (± π 2a , ± π 2a ) in the Brillouin zone of the square lattice which is in agreement with experimental results [7,8,9].…”

Section: Introductionmentioning

confidence: 99%

Loop-cluster simulation of the zero- and one-hole sectors of thet−Jmodel on the honeycomb lattice

et al. 2008

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Inspired by the lattice structure of the unhydrated variant of the superconducting material NaxCoO2·yH2O at x = 1 3 , we study the t-J model on a honeycomb lattice by using an efficient loop-cluster algorithm. The low-energy physics of the undoped system and of the single hole sector is described by a systematic low-energy effective field theory. The staggered magnetization per spin f Ms = 0.2688(3), the spin stiffness ρs = 0.102(2)J, the spin wave velocity c = 1.297(16)Ja, and the kinetic mass M ′ of a hole are obtained by fitting the numerical Monte Carlo data to the effective theory predictions.

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“…Some have argued that in the t-J model, a hole creates a phase string [36]. However, such an exotic state is not borne out by extensive numerical simulations on the t-J model [24]. In the spin-fermion model, selective gapping occurs at hot spots indicated by the intersection of the Fermi surface arcs with the reduced diamond-shaped antiferromagnetic Brillouin zone [37], whereas in the spin-bag model [38] a gap occurs only along the ; direction.…”

mentioning

confidence: 99%

“…for the one-hole quasiparticle weight lays plain that the discrepancy between the t-J [24,26,27] and Hubbard [25] results is one of lack of commutativity. In the t-J model (no double occupancy), U !…”

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Doped Mott Insulators Are Insulators: Hole Localization in the Cuprates

Choy

Phillips

2005

Phys. Rev. Lett.

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We demonstrate that a Mott insulator lightly doped with holes is still an insulator at low temperature even without disorder. Hole localization obtains because the chemical potential lies in a pseudogap which has a vanishing density of states at zero temperature. The energy scale for the pseudogap is set by the nearest-neighbor singlet-triplet splitting. As this energy scale vanishes if transitions, virtual or otherwise, to the upper Hubbard band are not permitted, the fundamental length scale in the pseudogap regime is the average distance between doubly occupied sites. Consequently, the pseudogap is tied to the noncommutativity of the two limits U ! 1 (U the on-site Coulomb repulsion) and L ! 1 (the system size).

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Single-hole spectral function and spin-charge separation in thet−Jmodel

Cited by 84 publications

References 33 publications

Theory of the Luttinger surface in doped Mott insulators

Theory of the Luttinger surface in doped Mott insulators

Loop-cluster simulation of the zero- and one-hole sectors of thet−Jmodel on the honeycomb lattice

Doped Mott Insulators Are Insulators: Hole Localization in the Cuprates

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