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We find an unconventional giant negative exchange bias (EB) of $H_{\rm EB}$ = --14.1~kOe at 2~K (cooling field of 50~kOe) in the cluster spin-glass (CSG) La$_{0.5}$Sr$_{0.5}$Co$_{0.85}$Nb$_{0.15}$O$_3$ perovsikte cobaltites. The magnetic memory effect, aging measurements, and nonlineraity in specific heat capacity reveal the glassy magnetic state at low temperatures. Further, the detailed analysis of {\it ac-}magnetic susceptibility confirms the glassy state below $\sim$58~K and the obtained characteristic spin-relaxation time-scale of $\tau_0$ = 8.4$\times$10$^{-10}$~s indicates the presence of CSG. Moreover, the analysis of magnetic training effect using the classical EB relaxation model reveals that the frozen spins relax slowly as compared to the rotatable spins at the interface of antiferromagnetic/ferromagnetic (AFM/FM) regions in CSG. Interestingly, the dependence of EB parameters is found to be unconventional for cooling field $>$50~kOe as the $H\rm_{EB}$ and $M\rm_{EB}$ show decreasing trend instead of expected saturation at higher fields. This unusual nature emerges due to large negative values of intrinsic interface exchange coupling ($J_i$), i.e., --10.24$\pm$0.22~meV and --12.55$\pm$0.49~meV for the measuring fields of $\pm$50~kOe and $\pm$90~kOe, respectively, whereas the number of spins in the FM cluster ($N_{\rm FM}$) are found to be small in the range of 2.4--3.1. These obtained values of $J_i $ and $N_{\rm FM}$ indicate the dominant AFM interactions and the presence of FM clusters in the AFM matrix, respectively, which correlate well with the observed unconventional behavior of giant negative exchange bias in the present sample., Comment: submitted

We unravel the effect of La substitution and hence antisite disorders on the exchange bias (EB) mechanism in Sr$_{2-x}$La$_x$CoNbO$_6$ ($x=$ 0, 0.2) double perovskite samples using the detailed analysis of the field cooled magnetization isotherms (M--H) and training effect. The field dependence of the freezing temperature deviates from both Gabay-Toulouse (GT) and de Almeida-Thouless (AT) lines and the analysis suggests that the $x=$ 0 sample follows a different universality class with moderate anisotropy in the frozen spins. Interestingly, we find that the EB effect is significantly suppressed in the $x=$ 0.2 sample due to increase [decrease] in the size of ferromagnetic (FM) [cluster glass (CG)] domain, which reduces the effective disordered interface responsible for the EB. The changes in fraction of FM, AFM, and CG like interactions with the La substitution and applied magnetic field are found to be crucial in governing the EB effect in these samples. Further, the training effect measurements show the unequal shift in the left and right branches of the M--H loops and their different evolution with the field cycles ($n$). The analysis reveals that the rotatable spins relax approximately one order of magnitude faster than the frozen spins at the disordered interface. We find a possible correlation between the observed EB effect and the antisite disorders in these samples., Comment: submitted

We report the detailed analysis of specific heat [C$_{\rm P}$(T)] and ac-susceptibility for magnetically frustrated Sr$_{2-x}$La$_x$CoNbO$_6$ ($x=$ 0--1) double perovskites to understand low temperature complex magnetic interactions and their evolution with $x$. Interestingly, the observed Schottky anomaly in the $x\leqslant$ 0.4 samples shifts gradually towards higher temperature with magnetic field as well as $x$, and the analysis reveal the persistence of the discrete energy states in these samples resulting from the spin-orbit coupling and octahedral distortion. Moreover, the extracted values of Land\'e g--factor indicate the existence of high-spin state Co$^{3+}$ ions close to non-magnetic low-spin state. The specific heat data show the $\lambda$-type anomaly for the $x\geqslant$ 0.6 samples due to evolution of the long range antiferromagnetic ordering. Our analysis of low temperature C$_{\rm P}$(T) data for the $x\geqslant$ 0.6 samples demonstrate the 3D isotropic Heisenberg antiferromagnetic (AFM) interactions and the temperature induced second order AFM--paramagnetic phase transition. More interestingly, we demonstrate the presence of the free Co$^{2+}$ like Kramers doublet ground state in the $x =$1 sample. Further, the ac susceptibility and time evolution of the magnetization data reveal the low temperature cluster-glass like behavior in the $x=$ 0--0.4 samples, where spin-spin correlation strength decreases with $x$., Comment: accepted for publication in PRB

Frequency combs have become a prominent research area in optics. Of particular interest as integrated comb technology are chip-scale sources, such as semiconductor lasers and microresonators, which consist of resonators embedding a nonlinear medium either with or without population inversion. Such active and passive cavities were so far treated distinctly. Here we propose a formal unification by introducing a general equation that describes both types of cavities. The equation also captures the physics of a hybrid device - a semiconductor ring laser with an external optical drive - in which we show the existence of temporal solitons, previously identified only in microresonators, thanks to symmetry breaking and self-localization phenomena typical of spatially-extended dissipative systems.