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Phase transitions in systems with frustrated ground states

Joseph Marie Thijssen

Published Jan 1, 1990• 0 citations
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After a short introduction on frustrated spin systems, we study in this chapter several two-dimensional frustrated Ising spin systems which can be exactly solved by using vertex models. We show that these systems contain most of the spectacular effects due to the frustration: high ground-state degeneracy, existence of several phases in the ground-state phase diagram, multiple phase transitions with increasing temperature, reentrance, disorder lines, partial disorder at equilibrium. Evidences of such effects in non solvable models are also shown and discussed.

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Sequence of first-order quantum phase transitions in a frustrated spin half dimer-plaquette chain

J. Schulenburg, Johannes Richter

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Quantum phase transitions in frustrated magnetic systems

P. Wölfle, Peter Schmitteckert

The European Physical Journal Special Topics•Jul 1, 2015•3 citations
After a short introduction on frustrated spin systems, we study in this chapter several two-dimensional frustrated Ising spin systems which can be exactly solved by using vertex models. We show that these systems contain most of the spectacular effects due to the frustration: high ground-state degeneracy, existence of several phases in the ground-state phase diagram, multiple phase transitions with increasing temperature, reentrance, disorder lines, partial disorder at equilibrium. Evidences of such effects in non solvable models are also shown and discussed.
Abstract The ground‐state magnetic phase transitions in a classical spin chain with long‐range interactions in a system of trapped ions are investigated. The tunable competing interactions, mediated by both longitudinal and transverse photon modes, lead to competition among different spins, due to which magnetic frustration occurs. Various ground‐state spin configurations are separated by multiple phase transitions when the strength and sign of these interactions are tuned continuously. The spin chains are highly degenerated because of the frustration, so there is some melting of several magnetic phases.
We study the frustrated dimer-plaquette quantum spin chain for ferromagnetic dimer bonds. This quantum system undergoes a series of first-order ground-state phase transitions driven by frustration or by a magnetic field. We find that the different nature of the ground-state phases has a strong influence on the magnetization curve as well as the low-temperature thermodynamics. In particular, the magnetization curve exhibits plateaus and jumps, the number of which depends on the strength of frustration. The temperature dependence of the susceptibility may either show an activated spin-gap behavior for small frustration or a Curie-like paramagnetic behavior for strong frustration.