Dispersion of a single hole in the t-J model

Lee, T. K.; Shih, C. T.

doi:10.1103/physrevb.55.5983

Cited by 83 publications

(105 citation statements)

References 27 publications

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“…In this paper, we'd like to demonstrate the phase diagram constructed by VMC results of the extended t − J model. The trial WF's for very underdoped systems are generalized from the single-hole and slightlydoped WF proposed by Lee et al [22,23]. The results for the hole-doped case show there is no coexistence of d−wave pairing and AFLRO when the next-and thirdnearest neighbor hopping terms are introduced.…”

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“…Following Ref. [15,22], three mean-field order parameters are introduced: the staggered magnetization m s = S z A = − S z B , where the lattice is divided into A and B sublattices, the uniform bond order parameters χ = σ c † iσ c jσ , and d−wave RVB (d−RVB) one ∆ = c j↓ c i↑ − c j↑ c i↓ if i and j are n.n. sites in the x direction and −∆ for the y direction.…”

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Absence of the coexistence of superconductivity and antiferromagnetism in the hole-doped two-dimensional extendedt−Jmodel

et al. 2004

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The possibility of coexistence of superconductivity (SC) and antiferromagnetic long range order (AFLRO) of the two-dimensional extended t − J model in the very underdoped region is studied by the variational Monte-Carlo (VMC) method. In addition to using previously studied wave functions, a recently proposed new wave function generated from the half-filled Mott insulator is used. For holedoped systems, the phase boundary between AFLRO and d−wave SC for the physical parameters, J/t = 0.3, t ′ /t = −0.3 and t ′′ /t = 0.2, is located near hole density δc = 0.06, and there is no coexistence. The phase transition is first-order between these two homogeneous phases at δc. 74.25.Ha Correlation between the d-wave SC and AFLRO is one of the critical issues in the physics of the hightemperature superconductivity (HTS) [1,2]. Early experimental results showed one of the common features of the HTS cuprates is the existence of AFLRO at temperature lower than the Néel temperature T N in the insulating perovskite parent compounds. When charge carriers (electrons or holes) are doped into the parent compounds, AFLRO is destroyed quickly and then SC appears. In most thermodynamic measurements, AFLRO does not coexist with SC [3]. However, this is still a controversial issue. Recent experiments such as neutronscattering and muon spin rotation show that the spin density wave (SDW) may compete, or coexist with SC under the external magnetic field [4,5,6]. Remarkably, elastic neutron scattering experiments for underdoped Y Ba 2 Cu 3 O x (x = 6.5 and 6.6, T c = 55K and 62.7K, respectively) show that the commensurate AFLRO develops around room temperature with a large correlation length ∼ 100Å and a small staggered magnetization m 0 ∼ 0.05µ B [7,8,9]. These results suggest that AFLRO may coexist with SC but the possibility of inhomogeneous phases is not completely ruled out.For the theoretical part, the two-dimensional (2D) t-J model is the first model proposed[10] to understand the physics of HTS. Anderson proposed the resonatingvalence-bond (RVB) theory for the model about one and a half decades ago. The theory is reexamined again [11] recently. The authors compared the prediction of the RVB theory with several experimental results and found the theory to have successfully explained the main features of cuprates. This so called "plain vanilla" theory did not consider the issue of AFLRO, which must be addressed at very low doping. From analytical and numerical studies of the t − J model, it was shown that at half-filling, the d−wave RVB state with AFLRO is a good trial wave function (TWF). In this case, SC correlation is zero because of the constraint of no-doubleoccupancy. Upon doping, the carriers become mobile and SC revives while AFLRO is quickly suppressed. However, if the doping density is still small, AFLRO will survive. Thus SC and AFLRO coexist in the very underdoped regime [12,13,14,15,16]. Exact diagonalization (ED) up to 26 sites show that both SC and AFLRO are enhanced by the external staggered field. This result also ...

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Absence of the coexistence of superconductivity and antiferromagnetism in the hole-doped two-dimensional extendedt−Jmodel

et al. 2004

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“…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].…”

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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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“…The single hole/electron behavior and its dispersion have been studied using various approaches on the t-t ′ -t ′′ -J model [5,6,7,8,9,10]. However, these studies on doping holes and electrons into the system only emphasize the asymmetry resulting from the different signs of t ′ and t ′′ for the corresponding Hamiltonians.…”

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