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Inelastic neutron-scattering experiments on the high-temperaturesuperconductor La$_{1.855}$Sr$_{0.145}$CuO$_{4}$ reveal a magnetic excitationgap $\Delta$ that decreases continuously upon application of a magnetic fieldperpendicular to the CuO$_2$ planes. The gap vanishes at the critical fieldrequired to induce long-range incommensurate antiferromagnetic order, providingcompelling evidence for a field-induced soft-mode driven quantum phasetransition.

Field-induced soft-mode quantum phase transition in La$_{1.855}$Sr$_{0.145}$CuO$_{4}$