1,521 research outputs found
Gauge Invariance and Spinon-Dopon Confinement in the t-J Model: implications for Fermi Surface Reconstruction in the Cuprates
We discuss the application of the two-band spin-dopon representation of the
t-J model to address the issue of the Fermi surface reconstruction observed in
the cuprates. We show that the electron no double occupancy (NDO) constraint
plays a key role in this formulation. In particular, the auxiliary lattice spin
and itinerant dopon degrees of freedom of the spin-dopon formulation of the t-J
model are shown to be confined in the emergent U(1) gauge theory generated by
the NDO constraint. This constraint is enforced by the requirement of an
infinitely large spin-dopon coupling. As a result, the t-J model is equivalent
to a Kondo-Heisenberg lattice model of itinerant dopons and localized lattice
spins at infinite Kondo coupling at all dopings. We show that mean-field
treatment of the large vs small Fermi surface crossing in the cuprates which
leaves out the NDO constraint, leads to inconsistencies and it is automatically
excluded form the t - J model framework
On the stability of compact supermassive objects
Proceeded from the gravitation equations proposed by one of authors it was
argued in a previous paper that there can exist supermassive compact
configurations of degenerated Fermi-gas without events horizon. In the present
paper we consider the stability of these objects by method like the one used in
the theory of stellar structure. It is shown that the configurations with an
adiabatic equation of state with the power 4/3 are stable.Comment: 10 pages, 5 figure
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