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Frustrated Spin Systems (Third Edition) (Hardcover)
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Frustrated Spin Systems (Third Edition) (Hardcover)
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Frustrated 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 Villainn and T A Kaplan in 1959. However, extensive
investigations on frustrated spin systems have really started with
the concept of frustration introduced at the same time by G
Toulouse and by J Villain in 1977 in the context of spin glasses.
The frustration is generated by the competition of different kinds
of interaction and/or by the lattice geometry. As a result, in the
ground state all bonds are not fully satisfied. In frustrated Ising
spin systems, a number of spins behave as free spins. In frustrated
vector spin systems, the ground-state configuration is usually
non-collinear. The ground state of frustrated spin systems is
therefore highly degenerate and new induced symmetries give rise to
unexpected behaviors at finite temperatures. Many properties of
frustrated systems are still not well understood at present.
Theoretically, recent studies shown in this book reveal that
established theories, numerical simulations as well as experimental
techniques have encountered many difficulties in dealing with
frustrated systems. In some sense, frustrated systems provide an
excellent testing ground for approximations and theories.
Experimentally, more and more frustrated materials are discovered
with interesting properties for applications.
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