Antiferromagnetism and superconductivity of the two-dimensional extended t-J model

Shih, C. T.; Wu, J.; Chen, Y. C.; Mou, Chung‐Yu; Chou, Chung-Pin; Eder, R.; Lee, T. K.

doi:10.1063/1.2008136

Cited by 11 publications

(10 citation statements)

References 38 publications

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“…It is noteworthy that the maxima of Á SC and T c are at pðT max c Þ $ 0:16 irrespective of n, which are close to p c ðM AFM ¼ 0Þ $ 0:14, revealing an intimate relationship between the SC order parameter and the AFM ordered moment. The phase diagram of M AFM vs p presented here is totally consistent with the ground-state phase diagram at a single CuO 2 plane, which has been theoretically addressed thus far in terms of either the t-J model, [14][15][16][17][19][20][21][22][24][25][26][27][28]31,32) or the Hubbard model in a strong correlation regime. 29,30) Note that p c ðM AFM ¼ 0Þ $ 0:14 determined experimentally is also in good agreement with the theoretical calculation at T ¼ 0.…”

Section: Special Topicssupporting

confidence: 84%

High-T_cSuperconductivity and Antiferromagnetism in Multilayered Copper Oxides –A New Paradigm of Superconducting Mechanism–

et al. 2012

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High-temperature superconductivity (HTSC) in copper oxides emerges on a layered CuO 2 plane when an antiferromagnetic Mott insulator is doped with mobile hole carriers. We review extensive studies of multilayered copper oxides by site-selective nuclear magnetic resonance (NMR), which have uncovered the intrinsic phase diagram of antiferromagnetism (AFM) and HTSC for a disorder-free CuO 2 plane with hole carriers. We present our experimental findings such as the existence of the AFM metallic state in doped Mott insulators, the uniformly mixed phase of AFM and HTSC, and the emergence of d-wave SC with a maximum T c just outside a critical carrier density, at which the AFM moment on a CuO 2 plane disappears. These results can be accounted for by the Mott physics based on the t-J model. The superexchange interaction J in among spins plays a vital role as a glue for Cooper pairs or mobile spin-singlet pairs, in contrast to the phonon-mediated attractive interaction among electrons established in the Bardeen-Cooper-Schrieffer (BCS) theory. We remark that the attractive interaction for raising the T c of HTSC up to temperatures as high as 160 K is the large J in ($ 0:12 eV), which binds electrons of opposite spins to be on neighboring sites, and that there are no bosonic glues. It is the Coulomb repulsive interaction U (> 6 eV) among Cu-3d electrons that plays a central role in the physics behind high-T c phenomena. A new paradigm of the SC mechanism opens to strongly correlated electron matter.

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Section: Special Topicssupporting

confidence: 84%

High-T_cSuperconductivity and Antiferromagnetism in Multilayered Copper Oxides –A New Paradigm of Superconducting Mechanism–

et al. 2012

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“…If both ∆ M v and ∆ C v are positive, the hole density is maximum at sites with smallest pairing amplitude |∆ ij | and smallest magnetization |m i |. This is similar to the phase diagram [12,13] predicted by the uniform RVB and AF states. Thus we will denote this state as the AF-RVB stripe state.…”

Section: Variational Approachsupporting

confidence: 76%

Variational study on the cluster glass wave function for the 2D extended t – J model

Chou

Fukushima

Lee

2009

J. Phys.: Conf. Ser.

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This content was downloaded from IP address 158.106.208.226 on 30/08/2018 at 07:55Variational study on the cluster glass wave function for the 2D extended t − J model Chung-Pin Chou, Noboru Fukushima, and Ting-Kuo Lee Institute of Physics, Academia Sinica, NanKang, Taipei 11529, Taiwan E-mail: tklee@phys.sinica.edu.tw Abstract. By using the variational Monte Carlo approach, we have demonstrated the existence of cluster glass states with a randomly-distributed short-ranged modulations is a natural outcome of the extended t − J models. As shown in our recent paper [1], these glassy states have almost the same energy as the uniform superconducting ground state if the modulation is moderate. Also we show that there are many possible degenerate states within a wide range of variational parameters. Because of the unusual degeneracy in the extended t − J models, random distribution of any defect or impurity in the materials could easily stabilize the glassy state. All these results obtained without introducing extra competing interactions or new order parameters seem to provide an appropriate framework to understand the experiments. IntroductionIn the context of the broad interest in challenging the properties of the high-T c superconductors, one of the most interesting properties is the possible existence of the stripe state consisting of one dimensional charge-density modulation coupled with spin order [2,3,4]. Many evidences of the presence of the non-superconducting stripe state as the ground state have been reported in several cuprate materials [5,6,7]. Very recently, the high-resolution scanning tunneling microscopy has observed unidirectional domains with periodic density of states modulation in two families of Ca 2−x N a x CuO 2 Cl 2 and Bi 2 Sr 2 CaCu 2 O 8+δ [8,9]. These bond-centered electronic patterns with a width of four lattice constants form the so called electronic cluster glass state with short-ranged modulations. In the theoretical side, Capello et al. [10] recently have found that the periodic resonating-valence-bond (RVB) stripe state could be a good candidate for the ground state in the extended t − J models. In the mean time, we show that the antiferromagnetic (AF) modulation should be also included in the stripe state, and the randomly-distributed modulation could be another possible ground state due to high degeneracy in variational energy [1]. Furthermore, in this paper we will also show that the existence of cluster glass states could be a natural consequence of the extended t − J models.

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“…There are several ways to construct the TWF [7,26]. We shall first follow the traditional mean-field theory by assuming two order parameters.…”

Section: Model and Trial Wave Functionmentioning

confidence: 99%

“…It has been shown [7,26] that the TWF constructed with the method discussed above have a substantial superconductivity coexistent with AF order. A simple generalization of the wave function above to a TWF with much weaker superconductivity, or for the AFMM state, could be easily carried out by following the work by Lee and Shih [5,23].…”

Section: Model and Trial Wave Functionmentioning

confidence: 99%

“…Theoretically it has been proposed that the asymmetry in the phase diagram can be modeled by adding intra-sublattice hopping terms to the t À J model [3][4][5]. In the hole-doped cases, comparisons among the variational theories [6,7] and experiments have shown an overall semi-quantitative agreement on their doping dependence. So far there are few variational studies on the electron-doped systems [5].…”

Section: Introduction and Overviewmentioning

confidence: 99%

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Variational approach to strong correlation in the photoemission of electron-doped superconductors

Chou

Lee

2008

Journal of Physics and Chemistry of Solids

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Antiferromagnetism and superconductivity of the two-dimensional extended t-J model

Abstract: The mechanism of high-temperature superconductivity (HTS) and the correlation between the antiferromagnetic long-range order (AFLRO) and superconductivity (SC) phases are the central issues of the study of HTS theory. SC and AFLRO of the hole-doped two-dimensional extended t J

Cited by 11 publications

References 38 publications

High-T_cSuperconductivity and Antiferromagnetism in Multilayered Copper Oxides –A New Paradigm of Superconducting Mechanism–

High-T_cSuperconductivity and Antiferromagnetism in Multilayered Copper Oxides –A New Paradigm of Superconducting Mechanism–

Variational study on the cluster glass wave function for the 2D extended t – J model

Variational approach to strong correlation in the photoemission of electron-doped superconductors

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Antiferromagnetism and superconductivity of the two-dimensional extended t-J model

Abstract: The mechanism of high-temperature superconductivity (HTS) and the correlation between the antiferromagnetic long-range order (AFLRO) and superconductivity (SC) phases are the central issues of the study of HTS theory. SC and AFLRO of the hole-doped two-dimensional extended t J

Cited by 11 publications

References 38 publications

High-TcSuperconductivity and Antiferromagnetism in Multilayered Copper Oxides –A New Paradigm of Superconducting Mechanism–

High-TcSuperconductivity and Antiferromagnetism in Multilayered Copper Oxides –A New Paradigm of Superconducting Mechanism–

Variational study on the cluster glass wave function for the 2D extended t – J model

Variational approach to strong correlation in the photoemission of electron-doped superconductors

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Product

Resources

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High-T_cSuperconductivity and Antiferromagnetism in Multilayered Copper Oxides –A New Paradigm of Superconducting Mechanism–

High-T_cSuperconductivity and Antiferromagnetism in Multilayered Copper Oxides –A New Paradigm of Superconducting Mechanism–