Abstract

We present an explanation of the dynamical in-gap spin mode in ${\text{La}}_{2\ensuremath{-}x}{\text{Sr}}_{x}{\text{CuO}}_{4}$ induced by an applied magnetic field $H$ as recently observed experimentally [J. Chang et al., Phys. Rev. Lett. 102, 177006 (2009)]. Our model consists of a phenomenological spin-only Hamiltonian, and the softening of the spin mode is caused by vortex pinning of dynamical stripe fluctuations which we model by a local ordering of the exchange interactions. The spin gap vanishes experimentally around $H=7\text{ }\text{T}$, which in our scenario corresponds to the field required for overlapping vortex regions.

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