Phase diagram of the one-dimensional<i>t</i>-<i>J</i>model

Ogata, Masao; Luchini, M. U.; Sorella, Sandro; Assaad, Fakher F.

doi:10.1103/physrevlett.66.2388

Cited by 315 publications

(266 citation statements)

References 23 publications

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“…On increasing k, a further fractionalization of charge and spin appears, in forms that depend on the strength of the exchange interaction J or the density n. Their dynamics can be understood at the supersymmetric (SUSY) point J = 2t in terms of charge and spin excitations of the Bethe-Ansatz solution [24][25][26] . For the region of the phase diagram 27,28 , where the ground state corresponds to a repulsive LL, two qualitatively different regimes are identified: one regime with v s > v c and another where v s < v c . Here v c(s) is the velocity of the excitations mainly carrying charge (spin).…”

Section: Introductionmentioning

confidence: 99%

Charge and spin fractionalization beyond the Luttinger-liquid paradigm

2013

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It is well established that at low energies one-dimensional (1D) fermionic systems are described by the Luttinger liquid (LL) theory, that predicts phenomena like spin-charge separation, and charge fractionalization into chiral modes. Here we show through the time evolution of an electron injected into a 1D t-J model, obtained with time-dependent density matrix renormalization group, that a further fractionalization of both charge and spin takes place beyond the hydrodynamic limit. Its dynamics can be understood at the supersymmetric point (J = 2t) in terms of the excitations of the Bethe-Ansatz solution. Furthermore we show that fractionalization with similar characteristics extends to the whole region corresponding to a repulsive LL.

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Section: Introductionmentioning

confidence: 99%

Charge and spin fractionalization beyond the Luttinger-liquid paradigm

2013

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“…Two very well studied microscopic models for such systems are the Hubbard and t − J models. While the search for superconductivity in the positive-U Hubbard model by numerical methods has failed so far [1][2][3][4][5] , t − J-like models exhibit d -wave superconductivity for certain parameters [6][7][8][9][10] .…”

Section: Introductionmentioning

confidence: 99%

Superconductivity with s and p symmetries in an extended Hubbard model with correlated hopping

et al. 1998

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We consider a generalized Hubbard model with on-site and nearest-neighbour repulsions U and V respectively, and nearest-neighbour hopping for spin up (down) which depends on the total occupation n b of spin down (up) electrons on both sites involved. The hopping parameters are tAA, tAB and tBB for n b = 0, 1, 2 respectively. We briefly summarize results which support that the model exhibits s-wave superconductivity for certain parameters and extend them by studying the Berry phases. Using a generalized Hartree-Fock(HF) BCS decoupling of the two and three-body terms, we obtain that at half filling, for tAB < tAA = tBB and sufficiently small U and V the model leads to triplet p-wave superconductivity for a simple cubic lattice in any dimension. In one dimension, the resulting phase diagram is compared with that obtained numerically using two quantized Berry phases (topological numbers) as order parameters. While this novel method supports the previous results, there are quantitative differences.

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“…8: Qualitatively different phase diagrams of the charge sector reported so far. The type (a) was reported for the S = 1/2 t-J model with gapless spin excitation [28], while the type (b) was reported for the frustrated t-J-J ′ model with spin gap [4]. Fig.…”

Section: Discussionmentioning

confidence: 99%

“…In addition to this, we report that the present system in the metallic phase is not essentially affected by the presence of the Haldane gap. The phase diagram resembles that of the S = 1/2 t-J model [28] without spin gap rather than that of the magnetically-frustrated t-J-J ′ model [4] with a spin gap. The present spin-liquid state seems to be rather unique compared to other spin-liquid states.…”

Section: Introductionmentioning

confidence: 92%

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Effect of the hole doping into the Haldane-gap state on the one-dimensional S = 1 t−J model

Nishiyama

Suzuki

1996

Physica B: Condensed Matter

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arXiv:cond-mat/9511035v1 7 Nov 1995 Effect of the hole doping into the Haldane-gap state on the one-dimensional S = 1 t-J model Yoshihiro Nishiyama and Masuo Suzuki Department of Physics, University of Tokyo Hongo 7-3-1, Bunkyo-ku, Tokyo 113, Japan (Received ) AbstractThe ground state and excitation spectra of the S = 1 Heisenberg spin chain with hole hopping are investigated by means of the numerical-diagonalization method and by the help of the Zhang-Arovas picture. As for the charge sector, two phases are found. It is shown that in the weak-hopping region, a phase separation occurs, while in the strong-hopping region, the system is in the Tomonaga-Luttinger liquid phase. Irrespective of the presence of the spin gap, the present phase diagram is similar to that reported for the S = 1/2 t-J chain with gapless spin excitation rather than to that for the magnetically-frustrated t-J chain with spin gap. For the spin sector, the string correlation is found to develop withstanding the hole doping except in a region, whose region is characterized by a generalized string correlation.This remains an open question to be studied in future.

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Phase diagram of the one-dimensionalt-Jmodel

Cited by 315 publications

References 23 publications

Charge and spin fractionalization beyond the Luttinger-liquid paradigm

Charge and spin fractionalization beyond the Luttinger-liquid paradigm

Superconductivity with s and p symmetries in an extended Hubbard model with correlated hopping

Effect of the hole doping into the Haldane-gap state on the one-dimensional S = 1 t−J model

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