Abstract

We propose a method to realize a $\ensuremath{\varphi}$ Josephson junction by combining alternating 0 and $\ensuremath{\pi}$ parts (sub junctions) with an intrinsically nonsinusoidal current-phase relation (CPR). Conditions for the realization of the $\ensuremath{\varphi}$ ground state are analyzed. It is shown that taking into account the nonsinusoidal CPR for a ``clean'' junction with a ferromagnetic $(\text{F})$ barrier, one can significantly enlarge the domain (regime of suitable $\text{F}$-layer thicknesses) of the $\ensuremath{\varphi}$ ground state and make the practical realization of $\ensuremath{\varphi}$ Josephson junctions feasible. Such junctions may also have two different stable solutions, such as 0 and $\ensuremath{\pi}$, 0 and $\ensuremath{\varphi}$, or $\ensuremath{\varphi}$ and $\ensuremath{\pi}$.

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