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In this dissertation the partition function, $Z_n$, for the six-vertex model with domain wall boundary conditions is solved in the thermodynamic limit in various regions of the phase diagram. In the f...
The magnetic properties and recording characteristics of ~Dy,Tb!FeCo films are dependent upon the anisotropy dispersion of rare earth constituents and the exchange integral between rare earth and tran...
Two type of 180 domain walls on a 115 nm cobalt film are observed by magnetic force microscopy.The surface Neel wall on top of an asymmetric Bloch wall is found inbomogeneous with the width estimated ...
We construct a domain wall solution in $F(R)$ gravity. We first compare a scalar field theory having a runaway type potential with a corresponding scalar field theory obtained through a conformal tran...
We study the gravitational effects of a planar domain wall on quantum fluctuations of a massless scalar field during inflation. By obtaining an exact solution of the scalar field equation in de Sitter...
We develop an analytic formalism that allows one to quantify the stability properties of X-type and Y-type junctions in domain wall networks in two dimensions. A similar approach might be applicable t...
The arctic curve, i.e. the spatial curve separating ordered (or ‘frozen’) and disordered (or ‘temperate) regions, of the six-vertex model with domain wall boundary conditions is discussed for the root...
We find a new supersymetric 5D solution of $\mathcal{N} = 2$ supergravity coupled to one hypermultiplet that depends only on the fifth dimension (the energy scale in a holographic context). In one as...
In the QCD analysis, when quarks are expressed in quaternion basis, the quark and its charge conjugate together are expressed by octonions and the octonion posesses the triality symmetry. Gluos are ex...
We present physical results obtained from simulations using 2+1 flavors of domain wall quarks and the Iwasaki gauge action at two values of the lattice spacing $a$, ($a^{-1}$=\,1.73\,(3)\,GeV and $a^{...
We report meson spectra obtained by using valence overlap fermion propagators generated on a background of 2+1 flavor domain wall fermion gauge configurations on 16^3 X 32, 24^3 X 64 and 32^3 X 64 lat...
We calculate the electromagnetic, axial and pseudo-scalar form factors of the Nucleon to $\Delta(1232)$ transition using two dynamical light degenerate quarks and a dynamical strange quark simulated w...
It has been proposed that the superconductivity of Sr2RuO4 is characterized by pairing that is unconventional and, furthermore, spontaneously breaks time-reversal symmetry. However, one of the key e...
We obtain a new representation for the partition function of the six vertex model with domain wall boundaries using a functional equation recently derived by the author. This new representation is giv...
We find a new supersymetric 5D solution of N = 2 supergravity coupled to one hypermultiplet that depends only on the fifth dimension (the energy scale in a holographic context). In one asymptotic limi...

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