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The rare-earth tritellurides ($R$Te$_3$, where $R$ = La, Ce, Pr, Nd, Sm, Gd,Tb, Dy, Ho, Er, Tm, Y) form a charge density wave state consisting of a singleunidirectional charge density wave for lighter $R$, with a secondunidirectional charge density wave, perpendicular and in addition to the first,also present at low temperatures for heavier $R$. We present a quantumoscillation study in magnetic fields up to 65T that compares the single chargedensity wave state with the double charge density wave state both above andbelow the magnetic breakdown field of the second charge density wave. In thedouble charge density wave state it is observed that there remain severalsmall, light pockets with the largest occupying around 0.5% of the Brillouinzone. By applying magnetic fields above the independently determined magneticbreakown field, the quantum oscillation frequencies of the single chargedensity wave state are recovered, as expected in a magnetic breakdown scenario.Measurements of the electronic effective mass do not show any divergence orsignificant increase on the pockets of Fermi surface observed here as theputative quantum phase transition between the single and double charge densitywave states is approached.

Magnetic breakdown and charge density wave formation: a quantum oscillation study of the rare-earth tritellurides