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The t-J_z model is the strongly anisotropic limit of the t-J model which captures some general properties of the doped antiferromagnets (AF). The absence of spin fluctuations simplifies the analytical treatment of hole motion in an AF…

Strongly Correlated Electrons · Physics 2009-10-31 A. L. Chernyshev , P. W. Leung

The spin-diffusion constant of the 2D $t-J$ model is calculated for the first time using an analytical approach at high temperatures and a recently-developed numerical method based on the Lanczos technique combined with random sampling in…

Condensed Matter · Physics 2009-10-22 J. Bonca , J. Jaklic

We study the one-dimensional deformed $t-t^{\prime}-J$ model in terms of the continuum field theories. We found that at low doping concentration and far away from the phase separation regime, there are two phases: the Luttinger liquid and…

Strongly Correlated Electrons · Physics 2015-06-24 Yu-Wen Lee , Yu-Li Lee

The ground state of the t-t'-J ladder with four legs favors a striped charge distribution for the parameters corresponding to hole-doped cuprate superconductors. We investigate the dynamical spin and charge structure factors of the model by…

Strongly Correlated Electrons · Physics 2018-06-27 Takami Tohyama , Michiyasu Mori , Shigetoshi Sota

The effective interaction between the itinerant spin degrees of freedom in the paramagnetic phases of hole doped quantum Heisenberg antiferromagnets is investigated theoretically, based on the single-band t-J model on 1D lattice, at zero…

Strongly Correlated Electrons · Physics 2018-07-11 Suraka Bhattacharjee , Ranjan Chaudhury

The 2D extended $\rm t-J$ model is studied computationally in a broad region of parameter space, motivated by recent photoemission experiments for the undoped cuprate $\rm Ca_2 Cu O_2 Cl_2$ (F. Ronning et al., Science {\bf 282}, 2067…

Strongly Correlated Electrons · Physics 2015-06-25 George B. Martins , Robert Eder , Elbio Dagotto

We present an exact diagonalization study of the single particle spectral function in the so-called t-t'-t''-J model in 2D. As a key result, we find that unlike the `pure' t-J model, hole doping leads to a major reconstruction of the…

Superconductivity · Physics 2009-10-28 R. Eder , Y. Ohta , G. A. Sawatzky

We study the hole and magnon spectral functions as a function of hole doping in the two-dimensional (2D) t-J and t-t'-t"-J models working within the limits of the spin-wave theory, by linearizing the hole-spin-deviation interaction and by…

Strongly Correlated Electrons · Physics 2015-05-28 Satyaki Kar , Efstratios Manousakis

The recently discussed tendency of holes to generate nontrivial spin environments in the extended two-dimensional t-J model (G. Martins, R. Eder, and E. Dagotto, Phys. Rev. B{\bf 60}, R3716 (1999)) is here investigated using computational…

Strongly Correlated Electrons · Physics 2015-06-24 G. B. Martins , J. C. Xavier , C. Gazza , M. Vojta , E. Dagotto

The 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…

Condensed Matter · Physics 2016-08-31 Yoshihiro Nishiyama , Masuo Suzuki

We present a novel approach for a systematic large--spin expansion of the $t$-$J$ Hamiltonian which enables us to work without the constraint of no double occupancy. In our scheme we can perform the large--spin limit ensuring that the low…

Condensed Matter · Physics 2019-08-15 A. Angelucci , S. Sorella , D. Poilblanc

Spin gaps in coupled $t$-$J$ ladders are investigated by exact diagonalization of small clusters up to 4$\times$8 sites. At half-filling, the numerical results for the triplet excitation spectrum are in very good agreement with a second…

Condensed Matter · Physics 2009-10-22 D. Poilblanc , H. Tsunetsugu , T. M. Rice

The motion of a single hole in a Mott antiferromagnet is investigated based on the t-J model. An exact expression of the energy spectrum is obtained, in which the irreparable phase string effect [Phys. Rev. Lett. 77, 5102 (1996)] is…

Strongly Correlated Electrons · Physics 2009-10-31 Z. Y. Weng , V. N. Muthukumar , D. N. Sheng , C. S. Ting

We reinvestigate a doped antiferromagnetic Mott insulator based on the slave-fermion approach of the t-J model, where antiferromagnetic spin fluctuations and doped holes are described by bosonic spinons and fermionic holons, respectively.…

Strongly Correlated Electrons · Physics 2008-11-18 Chenglong Jia , Ki-Seok Kim

The physics of doped Mott insulators is at the heart of strongly correlated materials and is believed to constitute an essential ingredient for high-temperature superconductivity. In systems with higher SU(N) spin symmetries, even richer…

Strongly Correlated Electrons · Physics 2024-10-02 Henning Schlömer , Fabian Grusdt , Ulrich Schollwöck , Kaden R. A. Hazzard , Annabelle Bohrdt

An exact-diagonalization technique on small clusters is used to study the ground state of the dimerized t-J model at quarter filling. The equal-time charge and spin correlations, charge and spin gaps, and binding energy are calculated for…

Strongly Correlated Electrons · Physics 2009-10-31 S. Nishimoto , Y. Ohta

In this paper, it is shown how a single stripe and a stripe phase grow from individual holes in low doping regime. In an effective low-energy description of the t-J model, {\em i.e.,} the phase string model, a hole doped into the spin…

Strongly Correlated Electrons · Physics 2007-05-23 Fan Yang , Su-peng Kou

The dynamics of a doped hole in the orthogonal-dimer spin system is investigated systematically in one, two and three dimensions. By combining the bond-operator method with the self-consistent Born approximation, we argue that a dispersive…

Strongly Correlated Electrons · Physics 2016-08-31 Y. Saito , A. Koga , N. Kawakami

We systematically examine the asymmetry of the electronic states in the hole- and electron-doped cuprates by using the t-t'-t''-J model. Numerically exact diagonalization method is employed for a 20-site square lattice. We impose twisted…

Strongly Correlated Electrons · Physics 2007-05-23 T. Tohyama

The dispersion of one hole in an extended $t$-$J$ model with additional hopping terms to second and third nearest neighbours and a frustration term in the exchange part has been investigated. Two methods, a Green's function projection…

Condensed Matter · Physics 2009-10-28 R. Hayn , A. F. Barabanov , J. Schulenburg