Unconventional Magnetoresistance Oscillations in Sr$_2$RuO$_4$

Unconventional quantum oscillations have been detected in Sr$_2$RuO$_4$ which cannot be explained by the traditional Little-Parks effect [1]. To gain insight into the problem we use the theory of oscillatory magnetoresistance induced by thermally excited vortex transitions [2]. We numerically obtain energy barriers for vortex entry, calculate the resulting magnetoresistance, and compare our results with experimental data.$\\ \\$ [1] X. Cai, Y.A. Ying, N.E. Staley, Y. Xin, D. Fobes, T.J. Liu, Z.Q. Mao, and Y. Liu, Phys. Rev. B, $\textbf{87}$, 081104(R) (2013)$\\$ [2] I. Sochnikov, A. Shaulov, Y. Yeshurun, G. Logvenov, and I. Bozovic, Phys. Rev. B, $\textbf{82}$, 094513 (2010)