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- W2783706995 abstract "We present a theoretical study of resonant frequencies and spatial correlations of Josephson phases in frustrated arrays of Josephson junctions. Two types of one-dimensional arrays, namely, the diamond and sawtooth chains, are discussed. For these arrays in the linear regime the Josephson phase dynamics is characterized by multiband dispersion relation $omega(k)$, and the lowest band becomes completely $flat$ at a critical value of frustration, $f=f_c$ . In a strongly nonlinear regime such critical value of frustration determines the crossover from non-frustrated ($0<f<f_c$) to frustrated ($f_c<f<1$) regimes. The crossover is characterized by the thermodynamic spatial correlation functions of phases on vertices, $varphi_i$, i.e. $C_p(i-j)=langlecos[p(varphi_i - varphi_j)]rangle$ displaying the transition from long- to short-range spatial correlations. We find that higher-order correlations functions, e.g. $p=2$ and $p=3$, restore the long-range behavior deeply in the frustrated regime, $fsimeq 1$. Monte-Carlo simulations of the thermodynamics of frustrated arrays of Josephson junctions are in good agreement with analytical results." @default.
- W2783706995 created "2018-01-26" @default.
- W2783706995 creator A5005624197 @default.
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- W2783706995 date "2019-02-08" @default.
- W2783706995 modified "2023-10-17" @default.
- W2783706995 title "Resonant frequencies and spatial correlations in frustrated arrays of Josephson type nonlinear oscillators" @default.
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- W2783706995 doi "https://doi.org/10.1088/1751-8121/ab013d" @default.
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