---
abstract: 'The very nature of the ground state of the pyrochlore compound [Yb$_2$Ti$_2$O$_7$]{} is much debated, as experimental results demonstrate evidence for both a disordered or a long-range ordered ground state. Indeed, the delicate balance of exchange interactions and anisotropy is believed to lead to competing states, such as a Quantum Spin Liquid state or a ferromagnetic state which may originate from an Anderson-Higgs transition. We present a detailed magnetization study demonstrating a first order ferromagnetic transition at 245 mK and 150 mK in a powder and a single crystal sample respectively. Its first-order character is preserved up to applied fields of $\sim$ 200 Oe. The transition stabilizes a ferromagnetic component and involves slow dynamics in the magnetization. Residual fluctuations are also evidenced, the presence of which might explain some of the discrepancies between previously published data for [Yb$_2$Ti$_2$O$_7$]{}.'
author:
- 'E. Lhotel'
- 'S. R. Giblin'
- 'M. R. Lees'
- 'G. Balakrishnan'
- 'L. J. Chang'
- 'Y. Yasui'
title: 'Mapping the first-order magnetic transition in [Yb$_2$Ti$_2$O$_7$]{}'
---

Magnetism affected by geometrical frustration is an active field due to the ability generate new and unusual magnetic phases  [@Lacroix]. In this context, the pyrochlore oxide materials R$_2$M$_2$O$_7$ (R=rare 