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We consider a model of three electrons and one hole confined in a two-dimensional (2D) plane, interacting with one another through Coulomb forces. Using a Ritz variational method we find an upper bound of \approx -0.0112me^4/8\pi^2 \epsilon…

Strongly Correlated Electrons · Physics 2007-05-23 Nie Luo

We review a recent approach for the simulation of many-body interacting systems based on an efficient generalization of the Lanczos method for Quantum Monte Carlo simulations. This technique allows to perform systematic corrections to a…

Strongly Correlated Electrons · Physics 2007-05-23 Sandro Sorella

We present a detailed numerical study of the one-dimensional Holstein model with a view to understanding the self-trapping process of electrons or excitons in crystals with short-range particle-lattice interactions. Applying a very…

Strongly Correlated Electrons · Physics 2009-10-30 G. Wellein , H. Fehske

From calculations of the high temperature series for the free energy of the two-dimensional t-J model we construct series for ratios of the free energy per hole. The ratios can be extrapolated very accurately to low temperatures and used to…

Strongly Correlated Electrons · Physics 2009-10-31 W. O. Putikka , M. U. Luchini

The spin and charge excitations of the t--J ladder are studied by exact diagonalization techniques for several electron densities. The various modes are classified according to their spin (singlet or triplet excitations) and their parity…

Condensed Matter · Physics 2016-08-31 D. Poilblanc , D. J. Scalapino , W. Hanke

We present an exact diagonalization study of bilayer clusters of t-J model. Our results indicate a crossover between two markedly different regimes which occurs when the ratio J_perp/J between inter-layer and intra-layer exchange constants…

Condensed Matter · Physics 2009-10-28 R. Eder , Y. Ohta , S. Maekawa

Employing the Lanczos algorithm in combination with a kernel polynomial moment expansion (KPM) and the maximum entropy method (MEM), we show a way of calculating charge and spin excitations in the Holstein t-J model, including the full…

Strongly Correlated Electrons · Physics 2009-10-28 H. Fehske , G. Wellein , B. Bäuml , R. N. Silver

The energies of singlet stripe phases in which a plane is broken up into spin liquid ladders by lines of holes, is examined. If the holes were static then patterns containing spin liquids with a finite spin gap are favored. The case of…

Condensed Matter · Physics 2007-05-23 Hirokazu Tsunetsugu , Matthias Troyer , T. M. Rice

We compute the ground-state fidelity and various correlations to gauge the competition between different orders in two-dimensional t-J-type models. Using exact numerical diagonalization techniques, these quantities are examined for (i) the…

Strongly Correlated Electrons · Physics 2009-09-30 Marcos Rigol , B. Sriram Shastry , Stephan Haas

We study a one-dimensional version of the Kitaev model on a ring of size N, in which there is a spin S > 1/2 on each site and the Hamiltonian is J \sum_i S^x_i S^y_{i+1}. The cases where S is integer and half-odd-integer are qualitatively…

Statistical Mechanics · Physics 2015-05-19 Diptiman Sen , R. Shankar , Deepak Dhar , Kabir Ramola

Using numerical results from density matrix renormalization group (DMRG) calculations for the t-J model, on systems as large as 10x7, we examine the structure of the one and two hole ground states in ladder systems and in two dimensional…

Condensed Matter · Physics 2009-10-28 Steven R. White , D. J. Scalapino

We have studied the t-J model using the Green Function Monte Carlo technique. We have obtained accurate energies well converged in the thermodynamic limit, by performing simulations up to 242 lattice sites. By studying the energy as a…

Strongly Correlated Electrons · Physics 2009-10-31 M. Calandra , F. Becca , S. Sorella

We have used exact diagonalization and quantum Monte Carlo methods to study the one-dimensional {t-J} model including the three-site hopping term derived from the strong coupling limit of the Hubbard model. The three-site term may be…

Condensed Matter · Physics 2007-05-23 Beat Ammon , Matthias Troyer , Hirokazu Tsunetsugu

A Hubbard-like model with SU(4) symmetry for electrons with two-fold orbital degeneracy is studied extensively. Exact solution in one dimension is derived by means of Bethe ansatz, where the sites are supposed to be occupied by at most two…

Strongly Correlated Electrons · Physics 2009-10-31 You-Quan Li , Shi-Jian Gu , Zu-JianYing , Ulrich Eckern

We demonstrate the accuracy of ground-state energies of the transcorrelated Hamiltonian, employing sophisticated Jastrow factors obtained from variational Monte Carlo, together with the coupled cluster and distinguishable cluster methods at…

We investigate the two-dimensional t-J model at a hole doping of x = 1/8 and J/t = 0.35 with exact diagonalization. The low-energy states are uniform (not striped). We find numerous excited states with charge density wave structures, which…

Strongly Correlated Electrons · Physics 2009-10-31 C. Stephen Hellberg , Efstratios Manousakis

Numerical results for ground state and excited state properties (energies, double occupancies, and Matsubara-axis self energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an…

We study the one-dimensional t-J-J'-model in the limit of small hole doping $x$ and small $J/t$, $J'/t$. Special emphasis is put on the regime $J'/J \approx .5$ where a spin gap is present at small doping and the undoped spin chain is…

Strongly Correlated Electrons · Physics 2009-11-10 Alexander Seidel , Patrick A. Lee

The spin and density correlation functions of the two-dimensional Hubbard model at low electronic density $<n>$ are calculated in the ground state by using the power method, and at finite temperatures by using the quantum Monte Carlo…

Condensed Matter · Physics 2009-10-22 Y. C. Chen , A. Moreo , F. Ortolani , E. Dagotto , T. K. Lee

Series expansions at T=0 are used to study properties of the half-filled $t-J$ ladder doped with one or two holes, and at quarter filling. Dispersion curves are obtained for one-hole symmetric and antisymmetric (bonding and antibonding)…

Strongly Correlated Electrons · Physics 2009-10-31 J. Oitmaa , C. J. Hamer , Zheng Weihong