Frustrated Spin SystemsFrustrated spin systems have been first investigated five decades ago. Well-known examples include the Ising model on the antiferromagnetic triangular lattice studied by G H Wannier in 1950 and the Heisenberg helical structure discovered independently by A Yoshimori, J Villain and T A Kaplan in 1959. However, many properties of frustrated systems are still not well understood at present. Recent studies reveal that established theories, numerical simulations as well as experimental techniques have encountered many difficulties in dealing with frustrated systems. This volume highlights the latest theoretical, numerical and experimental developments in the field. The book is intended for post-graduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulae and full arguments leading to important results are given. |
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Common terms and phrases
AFT lattice antiferromagnetic behavior bond calculation chiral correlation length corresponds coupling constants critical exponents critical temperature degeneracy dimensional dimer dipolar discussed droplet dynamics energy entropy excitations existence experimental ferromagnetic fixed point fluctuations frustrated magnets ground ground-state Hamiltonian Heisenberg chain Heisenberg model Heisenberg spins interactions Ising model Ising spin J₁ J₂ kagome kagome lattice Lett long range order loop low temperature mean-field Néel neutron scattering numerical obtained order parameter order phase transition paramagnetic partially disordered peak perturbation phase diagram Phys physics plaquette properties pyrochlore reentrance region RG flow scaling singlet specific heat spin configurations spin glass spin ice spin ice materials spin ice model spin ladder spin liquid phase spin systems spinons square lattice structure studied sublattice susceptibility symmetry tetrahedron three dimensions tion topological triangular lattice vector vertex model XY spins zero