Phase separation in the<i>t</i>-<i>J</i>model

Emery, V. J.; Kivelson, Steven; Lin, Hai‐Qing

doi:10.1103/physrevlett.64.475

Cited by 907 publications

(681 citation statements)

References 15 publications

Supporting

Mentioning

626

Contrasting

Order By: Relevance

“…We have plotted in Fig.4(a) case not shown in the figure [11]). Thus, a previous suggestion that the one hole energy in a QAF should be close to e BR [12,13] is not confirmed by our numerical results. In Fig.4(a) it is a remarkable property that all the extrapolated energies are very close to the NK energy, independent of the momentum of the hole, E ∞ = −3 ± 0.02 although the spin configuration is antiferromagnetic.…”

contrasting

confidence: 54%

Hole dynamics in a quantum antiferromagnet: Extension of the retraceable-path approximation

1994

View full text Add to dashboard Cite

The one-hole spectral weight for two chains and two dimensional lattices is studied numerically using a new method of analysis of the spectral function within the Lanczos iteration scheme: the Lanczos spectra decoding method.This technique is applied to the t−J z model for J z → 0, directly in the infinite size lattice. By a careful investigation of the first 13 Lanczos steps and the first 26 ones for the two dimensional and the two chain cases respectively, we get several new features of the one-hole spectral weight. A sharp incoherent peak with a clear momentum dispersion is identified, together with a second broad peak at higher energy. The spectral weight is finite up to the Nagaoka energy where it vanishes in a non-analytic way. Thus the lowest energy of one hole in a quantum antiferromagnet is degenerate with the Nagaoka energy in the thermodynamic limit. 75.10.Jm,75.40.Mg,71.10.+x Typeset using REVT E X 1

show abstract

contrasting

confidence: 54%

Hole dynamics in a quantum antiferromagnet: Extension of the retraceable-path approximation

1994

View full text Add to dashboard Cite

show abstract

“…An additional complication which has been neglected in this paper is the possibility of some form of hole phase separation away from half filling, due either to magnetic effects [61], electron-phonon interaction [46], or long-range Coulomb interaction (specifically, the nextnearest-neighbor Coulomb repulsion, V ) [20]. In this transition, the holes bunch up in such a way that part of them remain pinned at the insulating phase at half filling.…”

Section: E Phase Separationmentioning

confidence: 99%

Van Hove exciton-cageons and high-Tc superconductivity XA. Role of spin-orbit coupling in generating a diabolical point

Markiewicz

1994

Physica C: Superconductivity

View full text Add to dashboard Cite

Spin-orbit coupling plays a large role in stabilizing the low-temperature orthorhombic phase of La 2−x Sr x CuO 4 . It splits the degeneracy of the van Hove singularities (thereby stabilizing the distorted phase) and completely changes the shape of the Fermi surfaces, potentially introducing diabolical points into the band structure. The present paper gives a detailed account of the resulting electronic structure.A slave boson calculation shows how these results are modified in the presence of strong correlation effects. A scaling regime, found very close to the metal-insulator transition, allows an analytical determination of the crossover, in the limit of zero oxygen-oxygen hopping, t OO → 0. Extreme care must exercised in chosing the parameters of the three-band model. In particular, t OO is renormalized from its LDA value. Furthermore, it is suggested that the slave boson model be spin-corrected, in which case the system is close to a metal-insulator transition at half filling.

show abstract

“…Loosely speaking, this superconductivity can be understood as a consequence of the mobility of the singlet valence bonds in Fig 3: the mobile pairs of electrons behave as Cooper pairs, and their Bose-Einstein condensation leads to superconductivity. The configuration and period of the bond order can also evolve with increasing density of carriers [38,53,55], especially if the parameters are such that the physics of frustrated phase separation is important [56]. The reader is referred to Ref.…”

Section: Mobile Charge Carriersmentioning

confidence: 99%

Understanding correlated electron systems by a classification of Mott insulators

Sachdev

2003

Annals of Physics

View full text Add to dashboard Cite

This article surveys the physics of systems proximate to Mott insulators, and presents a classification using conventional and topological order parameters. This classification offers a valuable perspective on a variety of conducting correlated electron systems, from the cuprate superconductors to the heavy fermion compounds. Connections are drawn, and distinctions made, between collinear/non-collinear magnetic order, bond order, neutral spin 1/2 excitations in insulators, electron Fermi surfaces which violate Luttinger's theorem, fractionalization of the electron, and the fractionalization of bosonic collective modes. Two distinct categories of Z 2 gauge theories are used to describe the interplay of these orders. Experimental implications for the cuprates are briefly noted, but these appear in more detail in a companion review article (S. Sachdev, cond-mat/0211005).

show abstract

Phase separation in thet-Jmodel

Cited by 907 publications

References 15 publications

Hole dynamics in a quantum antiferromagnet: Extension of the retraceable-path approximation

Hole dynamics in a quantum antiferromagnet: Extension of the retraceable-path approximation

Van Hove exciton-cageons and high-Tc superconductivity XA. Role of spin-orbit coupling in generating a diabolical point

Understanding correlated electron systems by a classification of Mott insulators

Contact Info

Product

Resources

About