The method of self-similar factor approximants is applied to calculating the critical exponents of the O(N)-symmetric ϕ<Superscript>4</Superscript> theory and of the Ising glass. It is demonstrated that this method, being much simpler than other known techniques of series summation in calculating the critical exponents,...</superscript>

Using analytical series expansion by continuous unitary transformations we study the magnetic properties of a frustrated tetrahedral spin-<InlineEquation ID="Equ1"> <EquationSource Format="TEX">$\frac{1}{2}$</EquationSource> </InlineEquation> chain. Starting from the limit of isolated tetrahedra we analyze the evolution of the ground state energy and the elementary triplet...</equationsource></inlineequation>