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3
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4243813116
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B. Batlogg, H. Takagi, H. L. Kao, and J. Kwo, in Electronic Properties of High Tc Superconductors, the Normal and the Superconducting State, edited by H. Kuzmany et al.(Springer-Verlag, Berlin, 1992).
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(1991)
Phys. Today
, vol.44
, Issue.6
, pp. 44
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Batlogg, B.1
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9
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84927333426
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D. B. Tanner, and T. Timusk, Physical Properties of High-Temperature Superconductors III, edited by Donald M. Ginsberg (World Scientific, Singapore, 1992), pp. 363–469.
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34
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84927333424
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and references therein.
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41
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34247120112
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In this respect the results presented here are similar in spirit to those obtained in the context of particle physics many years ago, when was shown that quantum chromodynamics (QCD) confines at large bare couplings on a lattice see
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(1979)
Rev. Mod. Phys.
, vol.51
, pp. 659
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Kogut, J.1
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42
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84927333423
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55, 775 (1983)]. Although this is not at all the realistic regime, such a result was considered as an important progress towards showing that QCD confines. Actually, was enough to carry out a Monte Carlo simulation of lattice QCD to show that the regime of strong coupling and weak coupling (i.e., the physically realistic regime due to asymptotic freedom) were analytically connected. We hope that a similar program will start also in the context of the 2D t-J model based on the results discussed in this paper.
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52
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0000522145
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A possible algorithm to use for the study of large clusters is the ``many-body basis set reduction'' discussed in
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(1993)
Phys. Rev. B
, vol.47
, pp. 15346
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Riera, J.1
Dagotto, E.2
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53
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0001436236
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The ground state of two quantum models of magnetism
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The ``square'' lattices that can cover the bulk, and also hold a perfect Néel order with periodic boundary conditions are those satisfying N=n2+m2, where N is the number of sites, and n,m are integers, with n+m even see
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(1978)
Canadian Journal of Physics
, vol.56
, pp. 897
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Oitmaa, J.1
Betts, D.2
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54
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84927333421
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Note, however, that this cluster is not invariant under reflections.
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55
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84927333420
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S. Maekawa (private communication); Y. Ohta, T. Shimozato, R. Eder, K. Tsutsui, and S. Maekawa (unpublished).
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57
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84927333419
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(unpublished), also studied the low-density regime of the t-J model in two dimensions finding a region of s-wave pairing compatible with our results.
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Chen, Y.C.1
Lee, T.K.2
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63
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84927333418
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(unpublished). Here the RPA approximation is used to find the phase diagram of the t-J model. In excellent agreement with our results, a region of d-wave superconductivity is found near half-filling, with a transition to extended s-wave superconductivity at low electronic doping. The transition of pairing angular momentum as a function of density was also observed in He3.
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van der Marel, D.1
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65
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84927333407
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and references therein.
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67
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84927333406
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A calculation along these lines has been reported by Valenti and Gros (Ref. 34). The position of the transition to phase separation at quarter-filling is in excellent agreement with the numerical results (i.e., J/t app3, see their Fig. 1 including the density-density attraction in the Hamiltonian). However, their wave function does not show indications of superconductivity at this doping (only at low electronic densities). Then, the Valenti-Gros wave function does not seem accurate enough to describe the physics of the t-J model at quarter-filling, at least at large J /t.
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73
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84927333405
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A more complete study of this model including corrections to the mean-field approximation, and an extensive numerical analysis is planned.
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78
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84927333404
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However, is fair to point out that in the case of the t-U-V model the attractive force that produces pairing (U term) is not strictly the same that induces phase separation (V term). However, we can think of them as forming part of a unique attractive force that decays with distance by moving in parameter space along straight lines U prop V in the quadrant where both U and V are negative.
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80
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84927333403
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A study of the two-band Hubbard model including long-range interactions is planned.
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91
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84927333402
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In principle, working on a finite ring the statistics of the particles can be noticed through hopping processes that use the boundary. But in the bulk limit of the t-J model on a chain, the statistics should not affect the results.
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