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In this work, the thermodynamic properties of the organic superconductor $lambda$-(BETS)$_2$GaCl$_4$ are investigated to study a high-field superconducting state known as the putative Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase. We observed a small thermodynamic anomaly in the field $H_{rm FFLO}$ $sim$ 10~T, which corresponds to the Pauli limiting field $H_{rm P}$. This anomaly probably originates from a transition from a uniform superconducting state to the FFLO state. $H_{rm FFLO}$ does not show a strong field-angular dependence due to a quasi-isotropic paramagnetic effect in $lambda$-(BETS)$_2$GaCl$_4$. The thermodynamic anomaly at $H_{rm FFLO}$ is smeared out and low-temperature upper critical field $H_{rm c2}$ changes significantly if fields are not parallel to the conducting plane even for a deviation of $sim$0.5$^{circ}$. This behavior indicates that the high-field state is very unstable, as it is influenced by the strongly anisotropic orbital effect. Our results are consistent with the theoretical predictions on the FFLO state, and show that the high-field superconductivity is probably an FFLO state in $lambda$-(BETS)$_2$GaCl$_4$ from a thermodynamic point of view.
The specific heat of the layered organic superconductor $kappa$-% (BEDT-TTF)$_2$Cu(NCS)$_2$, where BEDT-TTF is bisethylenedithio-% tetrathiafulvalene, has been studied in magnetic fields up to 28 T applied perpendicular and parallel to the supercondu
We demonstrate that the vortex state in the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase may be very different depending on the field orientation relative to the crystalline axes. We calculate numerically the upper critical field near the tricritica
The Higgs mode associated with amplitude fluctuations of the superconducting gap in uniform superconductors usually is heavy, which makes its excitation and detection difficult. We report on the existence of a gapless Higgs mode in the Fulde-Ferrell-
The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase is an unconventional superconducting state found under the influence of strong Zeeman field. This phase is identified by finite center-of-mass momenta in the Cooper pairs, causing the pairing amplitud
We consider a two-component Fermi gas in the presence of spin imbalance, modeling the system in terms of a one-dimensional attractive Hubbard Hamiltonian initially in the presence of a confining trap potential. With the aid of the time-evolving block