DMRG and the Two Dimensional t-J Model

Abstract

We describe in detail the application of the recent non-Abelian Density Matrix Renormalization Group (DMRG) algorithm to the two dimensional t-J model. This extension of the DMRG algorithm allows us to keep the equivalent of twice as many basis states as the conventional DMRG algorithm for the same amount of computational effort, which permits a deeper understanding of the nature of the ground state.

16 pages, 3 figures. Contributed to the 2nd International Summer School on Strongly Correlated Systems, Debrecen, Hungary, Sept. 2000

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• The one dimensional Kondo lattice model at partial band filling
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• Exact NMR simulation of protein-size spin systems using tensor train formalism
• Spectral properties near the Mott transition in the two-dimensional t-J model
• States induced in the single-particle spectrum by doping a Mott insulator
• Emergence and spectral-weight transfer of electronic states in the Hubbard ladder
• Emergence of electronic modes by doping Kondo insulators in the Kondo lattice and periodic Anderson models
• Temperature-driven change in band structure reflecting spin-charge separation of Mott and Kondo insulators
• Emergence and evolution of electronic modes with temperature in spin-gapped Mott and Kondo insulators
• Electronic modes induced by spin and charge perturbations in Mott and Kondo insulators