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Absence of Chirality and Flux in Quantum Spin Systems and the Hubbard Model in Two-Dimension

Masatoshi Imada

Progress of Theoretical Physics SupplementJan 1, 19903 citations

A Quantum Spin Chain in High Magnetic Fields (Electronic Structure and Correlation--With an Emphasis on Magnetism)

K. Katsumata, Hidenobu Hori, Tetsuya Takeuchi +4 more

Progress of Theoretical PhysicsFeb 1, 19910 citations

Absence of Chirality and Flux in Quantum Spin Systems and the Hubbard Model in Two-Dimension

Masatoshi Imada

Chirality and flux correlations are investigated by the exact diagonalization and the quantum Monte Carlo method. In all the cases of the triangular and the square lattice with and without the next nearest-neighbor exchange, the extrapolation to the thermodynamic limit indicates the absence of uniform and staggered chirality in the spin-1/2 Heisenberg models. The spin-1/2 models with the 4-spin and the 6-spin ring exchange show similar behavior to the ordinary Heisenberg models. The quantum Monte Carlo results on the Hubbard model also show no indication of the uniform or the staggered flux order.Chirality and flux correlations are investigated by the exact diagonalization and the quantum Monte Carlo method. In all the cases of the triangular and the square lattice with and without the next nearest-neighbor exchange, the extrapolation to the thermodynamic limit indicates the absence of uniform and staggered chirality in the spin-1/2 Heisenberg models. The spin-1/2 models with the 4-spin and the 6-spin ring exchange show similar behavior to the ordinary Heisenberg models. The quantum Monte Carlo results on the Hubbard model also show no indication of the uniform or the staggered flux order.

Progress of Theoretical Physics SupplementMay 16, 20130 citations

Effect of interactions, disorder and magnetic field in the Hubbard model in two dimensions

Nandini Trivedi, P. J. H. Denteneer, Dariush Heidarian +1 more

PramanaJun 1, 20056 citations

Absence of ferromagnetism in the two-dimensional Hubbard model

Sergey Rudin, Daniel Charles Mattis

Physics Letters AJul 1, 198524 citations

Saturated Ferromagnetism from Statistical Transmutation in Two Dimensions

Yasuhiro Saiga, Masaki Oshikawa

The total spin of the ground state is calculated in the U-->infinity Hubbard model with uniform magnetic flux perpendicular to a square lattice, in the absence of Zeeman coupling. It is found that the saturated ferromagnetism emerges in a rather wide region in the space of the flux density phi and the electron density ne. In particular, the saturated ferromagnetism at phi=ne is induced by the formation of a spin-1/2 boson, which is a composite of an electron and the unit flux quantum.

arXiv:cond-mat/0506352Physical Review LettersJan 25, 200610 citations

Absence of Chirality and Flux in Quantum Spin Systems and the Hubbard Model in Two-Dimension (Electronic Structure and Correlation--With an Emphasis on Magnetism)

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Absence of Chirality and Flux in Quantum Spin Systems and the Hubbard Model in Two-Dimension (Electronic Structure and Correlation--With an Emphasis on Magnetism)

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