One-Dimensional Spin Glass

Fluctuations in finite dimensional spin-glass dynamics

One-dimensional Quantum Spin Liquids

This chapter is intended as a brief overview of some of the quantum spin liquid phases with unbroken SU(2) spin symmetry available in one dimension. The main characteristics of these phases are discussed by means of the bosonization approach. A special emphasis is laid on the interplay between frustration and quantum fluctuations in one dimension.

Spin and chirality orderings of the one-dimensional Heisenberg spin glass with the long-range power-law interaction

The ordering of the one-dimensional Heisenberg spin glass interacting via the long-range powerlaw interaction is studied by Monte Carlo simulations. Particular attention is paid to the possible occurrence of the “spin-chirality decoupling” for appropriate values of the power-law exponent σ. Our result suggests that, for intermediate values of σ, the chiral-glass order occurs at finite temperatu...

Decay of spin coherences in one-dimensional spin systems

Strategies to protect multi-qubit states against decoherence are difficult to formulate because of their complex many-body dynamics. A better knowledge of the decay dynamics would help in the construction of dynamical decoupling control schemes. Here we use solid-state nuclear magnetic resonance techniques to experimentally investigate decay of coherent multi-spin states in linear spin chains. ...

New Insights from One-Dimensional Spin Glasses

The concept of replica symmetry breaking found in the solution of the mean-field Sherrington-Kirkpatrick spin-glass model has been applied to a variety of problems in science ranging from biological to computational and even financial analysis. Thus it is of paramount importance to understand which predictions of the mean-field solution apply to non-mean-field systems, such as realistic shortra...