4,674 research outputs found
Susceptibility of a spinon Fermi surface coupled to a U(1) gauge field
We study the theory of a U(1) gauge field coupled to a spinon Fermi surface.
Recently this model has been proposed as a possible description of the organic
compound . We calculate the susceptibility of
this system and in particular examine the effect of pairing of the underlying
spin liquid. We show that this proposed theory is consistent with the observed
susceptibility measurements.Comment: 5 pages, 4 figure
Some Inequalities in 2-inner Product Spaces
In this paper we extend some results on the refinement of Cauchy-Buniakowski-Schwarz's inequality and Aćzel's inequality in inner product spaces to 2-inner product spaces
On Some Grüss Type Inequality in 2-Inner Product Spaces and Applications
In this paper, we shall give a generalization of the Grüss type inequality and obtain some applications of the Grüss type inequality in terms of 2-inner product spaces
Emergence of gravity from interacting simplices
We consider a statistical model of interacting 4-simplices fluctuating in an
N-dimensional target space. We argue that a gravitational theory may arise as a
low energy effective theory in a strongly interacting phase where the simplices
form clusters with an emergent space and time with the Euclidean signature. In
the large N limit, two possible phases are discussed, that is, `gravitational
Coulomb phase' and `gravitational Higgs phase'.Comment: 18 pages, 6 figures, one-column format; major revisions in version 5
: reviews on emergent gauge theories added; microscopic simplex model for
emergent gravity added; erroneous statements on diffeomorphism invariance
remove
Stability of the U(1) spin liquid with spinon Fermi surface in 2+1 dimensions
We study the stability of the 2+1 dimensional U(1) spin liquid state against
proliferation of instantons in the presence of spinon Fermi surface. By mapping
the spinon Fermi surface into an infinite set of 1+1 dimensional chiral
fermions, it is argued that an instanton has an infinite scaling dimension for
any nonzero number of spinon flavors. Therefore, the spin liquid phase is
stable against instantons and the non-compact U(1) gauge theory is a good low
energy description.Comment: 14 pages, 7 figures, v3) minor corrections, to appear in PR
U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
We formulate a U(1) gauge theory of the Hubbard model in the slave-rotor
representation. From this formalism it is argued that spin liquid phases may
exist near the Mott transition in the Hubbard model on triangular and honeycomb
lattices at half filling. The organic compound k-(BEDT-TTF)_2 Cu_2 (CN)_3 is a
good candidate for the spin liquid state on a triangular lattice. We predict a
highly unusual temperature dependence for the thermal conductivity of this
material.Comment: 5 pages, 2 figures; paper shortened and the phase diagram of
anisotropic triangular lattice correcte
Vortex description of the fractionalized phase in exciton bose condensate
As a sequel to the previous work [Phys. Rev. B 72, 235104 (2005)] we present
a vortex description of the fractionalized phase in exciton bose condensate.
Magnetic flux line and monopole of the 3+1D emergent U(1) gauge theory are
identified in the exciton picture. A bundle of vortex/anti-vortex pairs of all
flavors of excitons corresponds to the magnetic flux line and a point at which
the vortices and anti-vortices recombine is identified as magnetic monopole.
This completes the magnetic sector of the low energy excitation in the
fractionalized phase.Comment: 8 pages, 6 figures; clarification made in introductio
Fractionalized topological insulators from frustrated spin models in three dimensions
We present a theory of three dimensional fractionalized topological
insulators in the form of U(1) spin liquids with gapped fermionic spinons in
the bulk and topologically protected gapless spinon surface states. Starting
from a spin-1/2 model on a pyrochlore lattice, with frustrated
antiferromagnetic and ferromagnetic exchange interactions, we show that
decomposition of the latter interactions, within slave-fermion representation
of the spins, can naturally give rise to an emergent spin-orbit coupling for
the spinons. This stabilizes a fractionalized topological insulators which also
have bulk bond spin-nematic order. Finally, we describe the low energy
properties of these states.Comment: 10 page
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