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- W1564911949 abstract "In this paper a description of the energy eingenstates of the Hubbard model on the square lattice with nearest-neighbor transfer integral $t$, on-site repulsion $U$, and $N_a^2gg 1$ sites in terms of occupancy configurations of charge $c$ fermions, spin-1/2 spinons, and $eta$-spin-1/2 $eta$-spinons is introduced. Such objects emerge from a suitable electron - rotated-electron unitary transformation. In chromodynamics the quarks have color but all quark-composite physical particles are color-neutral. Within our description the $eta$-spinon (and spinons) that are not invariant under the electron - rotated-electron unitary transformation have $eta$ spin 1/2 (and spin 1/2) but are part of $eta$-spin-neutral (and spin-neutral) $2nu$-$eta$-spinon (and $2nu$-spinon) composite $etanu$ fermions (and $snu$ fermions). Here $nu=1,2,...$ is the number of $eta$-spinon (and spinon) pairs. In turn, a well-defined number of independent spinons and independent $eta$-spinons are invariant under the electron - rotated-electron unitary transformation. Simple occupancy configurations of (i) the $c$ fermions, (ii) independent spinons and $2nu$-spinon composite $snu$ fermions, and (iii) independent $eta$-spinons and $2nu$-$eta$-spinon composite $etanu$ fermions generate an useful complete set of states. The configurations (i), (ii), and (iii) correspond to the state representations of the U(1), spin SU(2), and $eta$-spin SU(2) symmetries, respectively, associated with the model $SO(3)times SO(3)times U(1) =[SU(2)times SU(2)times U(1)]/Z_2^2$ global symmetry." @default.
- W1564911949 created "2016-06-24" @default.
- W1564911949 creator A5035316635 @default.
- W1564911949 date "2010-03-23" @default.
- W1564911949 modified "2023-09-27" @default.
- W1564911949 title "The $SO(3)times SO(3)times U(1)$ Hubbard model on a square lattice in terms of $c$ and $alphanu$ fermions and deconfined $eta$-spinons and spinons" @default.
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