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- W1488324699 abstract "We present the spin wave theory of XY model with anisotropic nearest neighbour (NN) interactions $J(J^{prime})$ along the $x(y)$ directions, next nearest (NNN) neighbour interaction $J_D$ and the ring exchange interaction $K$ on the square lattice. We calculate the thermodynamic quantities: Zero temperature spin stiffness, internal energy, specific heat and the magnetization. Using the diagonalized Hamiltonian, we show that no soft modes develop when $eta + lambda >0 $, where $eta = J^{prime}/J$ and $lambda = K/J$. We further show that anisotropy ($eta =2$) decreases the spin stiffness by 5.7% of its isotropic ($eta =1$) maximum value for some values of $lambda$ and $delta = J_D/J$. A similar reduction shows up in the magnetization. The plot of the stiffness against $eta (lambda)$ reaches a maximum at $eta=0(lambda =0)$ for specific values of $delta$ and decreases rapidly as it approaches $eta + lambda + 1=0$. In general, the supersolid phase transition suggested earliercite{H} will occur in the regime $eta + lambda +1 <0$." @default.
- W1488324699 created "2016-06-24" @default.
- W1488324699 creator A5075154836 @default.
- W1488324699 date "2013-03-25" @default.
- W1488324699 modified "2023-09-27" @default.
- W1488324699 title "Spin stiffness calculation in anisotropic XY model with Ring exchange interaction" @default.
- W1488324699 hasPublicationYear "2013" @default.
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