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- W2897723158 abstract "The half-filled Hubbard model on the Bethe lattice with coordination number $z=3$ is studied using the density-matrix renormalization group (DMRG) method. Ground-state properties such as the energy $E$, average local magnetization $ $, its fluctuations $ - ^2$ and various spin correlation functions $ - $ are determined as a function of the Coulomb interaction strength $U/t$. The calculated local magnetic moments $ $ increase monotonically with increasing Coulomb repulsion $U/t$ forming an antiferromagnetic spin-density-wave state which matches the two sublattices of the bipartite Bethe lattice. At large $U/t$, $ $ is strongly reduced with respect to the saturation value 1/2 due to exchange fluctuations between nearest neighbors (NN) spins ($| |simeq 0.35$ for $U/tto +infty$). $ - ^2$ shows a maximum for $U/t=2.4$--2.9 which results from the interplay between the usual increase of $ $ with increasing $U/t$ and the formation of important permanent moments $ $ at large $U/t$. NN sites show antiferromagnetic spin correlations which increase with increasing Coulomb repulsion. In contrast next NN sites are very weakly correlated over the whole range of $U/t$. The accuracy of the DMRG results is discussed by comparison with tight-binding exact results, independent DMRG calculations for the Heisenberg model and simple first-order perturbation estimates." @default.
- W2897723158 created "2018-10-26" @default.
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- W2897723158 date "1998-01-22" @default.
- W2897723158 modified "2023-09-26" @default.
- W2897723158 title "A DMRG study of the half-filled Hubbard model on a Bethe lattice: a signature of the Mott-Hubbard transition" @default.
- W2897723158 hasPublicationYear "1998" @default.
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