Exotic paired phases in ladders with spin-dependent hopping

Fermions in two-dimensions (2D) when subject to anisotropic spin-dependent hopping can potentially give rise to unusual paired states in {\it unpolarized} mixtures that can behave as non-Fermi liquids. One possibility is a fully paired state with a gap for fermion excitations in which the Cooper pairs remain uncondensed. Such a "Cooper-pair Bose-metal" phase would be expected to have a singular Bose-surface in momentum space. As demonstrated in the context of 2D bosons hopping with a frustrating ring-exchange interaction, an analogous Bose-metal phase has a set of quasi-1D descendent states when put on a ladder geometry. Here we present a density matrix renormalization group (DMRG) study of the attractive Hubbard model with spin-dependent hopping on a two-leg ladder geometry. In our setup, one spin species moves preferentially along the leg direction, while the other does so along the rung direction. We find compelling evidence for the existence of a novel Cooper-pair Bose-metal phase in a region of the phase diagram at intermediate coupling. We further explore the phase diagram of this model as a function of hopping anisotropy, density, and interaction strength, finding a conventional superfluid phase, as well as a phase of paired Cooper pairs with d-wave symmetry, similar to the one found in models of hard-core bosons with ring-exchange. We argue that simulating this model with cold Fermi gases on spin dependent optical lattices is a promising direction for realizing exotic quantum states.Comment: 10 pages, 12 figure

Thermal conductivity in a mixed state of a superconductor at low magnetic fields

We evaluate accurate low-field/low-temperature asymptotics of the thermal conductivity perpendicular to magnetic field for one-band and two-band s-wave superconductors using Keldysh-Usadel formalism. We show that heat transport in this regime is limited by tunneling of quasiparticles between adjacent vortices across a number of local points and therefore widely-used approximation of averaging over circular unit cell is not valid. In the single-band case, we obtain parameter-free analytical solution which provides theoretical lower limit for heat transport in the mixed state. In the two-band case, we show that heat transport is controlled by the ratio of gaps and diffusion constants in different bands. Presence of a weaker second band strongly enhances the thermal conductivity at low fieldsComment: 7 pages, 1 figure, discussion of the clean case and discussion of experiment adde

Nonuniform states in noncentrosymmetric superconductors

In noncentrosymmetric crystals, nonuniform superconducting states are possible even in the absence of any external magnetic field. The origin of these states can be traced to the Lifshitz invariants in the free energy, which are linear in spatial gradients. We show how various types of the Lifshitz invariants in noncentrosymmetric superconductors can be derived from microscopic theory.Comment: 7 page

Vortex Viscosity in Magnetic Superconductors Due to Radiation of Spin Waves

In type-II superconductors that contain a lattice of magnetic moments, vortices polarize the magnetic system inducing additional contributions to the vortex mass, vortex viscosity, and vortex-vortex interaction. Extra magnetic viscosity is caused by radiation of spin waves by a moving vortex. Like in the case of Cherenkov radiation, this effect has a characteristic threshold behavior and the resulting vortex viscosity may be comparable to the well-known Bardeen-Stephen contribution. The threshold behavior leads to an anomaly in the current-voltage characteristics, and a drop in dissipation for a current interval that is determined by the magnetic excitation spectrum.Comment: 4 pages, 1 figur

From Trapped Atoms to Liberated Quarks

We discuss some aspects of cold atomic gases in the unitarity limit that are of interest in connection with the physics of dense hadronic matter. We consider, in particular, the equation of state at zero temperature, the magnitude of the pairing gap, and the phase diagram at non-zero polarization.Comment: 13 pages, 5 figures; to appear in the proceedings of the International Symposium on Heavy Ion Physics 2006, Frankfurt, Germany; International Journal of Modern Physics E, in pres

Australian adolescents\u27 motor competence and perceptions of physical activity outcomes

Benefits that are generally associated with physical activity include enjoyment of the activity, expectation of positive benefits, intention to exercise, perceived fitness or health self-efficacy, intrinsic motivation, and positive physical self-perceptions (Sallis & Owen, 1999). In the Australian context where motor skill is highly valued, the ability to participate in play, games, and sports is likely to be particularly important in the socialization process of adolescents, such as their opportunity for reaffirming friendships and gaining social support from significant others. To be competent at movement would seem a clear advantage in order to experience quality of life through physical activity. However for adolescents who have poor motor competence, whose past experiences in sporting contexts have been less positive, future engagement in physical activity may not be viewed as so worthwhile. From a theoretical perspective motor competence has been closely linked to positive self-perceptions (Harter, 1999; Nicholls, 1990) and feelings of self-efficacy (Bandura, 1997). Furthermore, the choices individuals make are directly related to their expectancies for success, and subjective values they place on the options they perceive to be available (Eccles, Barber, & Jozefowicz, 1999). Empirical findings with adolescents (Cantell, Smyth, & Ahonen, 2003; Poulsen, Ziviani, Cuskelly, & Smith, 2007) suggest that level of motor competence is associated with psycho-social outcomes that in turn influence the intrinsic motivation to engage in physical activity. Even with marginal motor difficulties, adolescents perceive greater barriers to exercise (Rose, Larkin, Hands, & Parker, 2008) but there is little known of how adolescents with low motor competence perceive outcomes of future engagement in physical activity differently to their better coordinated peers. Their difficulties are not only frequently overlooked but are compounded by not experiencing the joy of participation and benefit from the healthy outcomes of physical activity so important to quality of life. Furthermore, there is evidence that movement difficulties experienced in childhood do not go away and there are often physical and psycho-social difficulties extending into adulthood (Cantell, Smyth, & Ahonen, 2003). In our study we proposed that adolescent girls and boys who differ in level of motor competence will also differ in their perceptions of benefits gained from any future engagement in sports and physical recreation. These proposed differences especially may be evident in physical and social evaluative settings where according to Harter (1999) adolescents are particularly vulnerable. She found that subgroups experiencing motor difficulties are likely to have a diminished view of their physical selves and be unwilling to participate in physical activities. If little positive benefit is perceived from participation there are strong implications for physical health associated with low energy expenditure and for overall quality of life. Considering that gender is linked to academic, occupational and recreational choice (Eccles et al., 1999) and that socialization for girls in sport often differs from that of boys (Coakley, 2007), girls may view their future in physical activity as less rewarding. This might have implications not only for girls but particularly for those girls who also lack competence in movement. Boys also may experience disadvantage if their motor competence does not reach the expectations of a sport oriented society (Poulsen et al., 2007). Our purpose here was to examine the likelihood of experiencing positive or negative outcomes from engaging in physical activity in adolescent boys and girls who differed in level of motor competence

Controlling the pair momentum of the FFLO state in a 3D Fermi gas through a 1D periodic potential

The question whether a spin-imbalanced Fermi gas can accommodate the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state has been the subject of intense study. This state, in which Cooper pairs obtain a nonzero momentum, has hitherto eluded experimental observation. Recently, we demonstrated that the FFLO state can be stabilized in a 3D Fermi gas, by adding a 1D periodic potential. Until now it was assumed that the FFLO wave vector always lies parallel to this periodic potential (FFLO-P). In this contribution we show that, surprisingly, the FFLO wave vector can also lie skewed with respect to the potential (FFLO-S). Starting from the partition sum, the saddle-point free energy of the system is derived within the path-integral formalism. Minimizing this free energy allows us to study the different competing ground states of the system. To qualitatively understand the underlying pairing mechanism, we visualize the Fermi surfaces of the spin up and spin down particles. From this visualization, we find that tilting the FFLO wave vector with respect to the direction of the periodic potential, can result in a larger overlap between the pairing bands of both spin species. This skewed FFLO state can provide an additional experimental signature for observing FFLO superfluidity in a 3D Fermi gas.Comment: 19 pages, 3 figure

Interplay of magnetic and structural transitions in Fe-based pnictide superconductors

The interplay between the structural and magnetic phase transitions occurring in the Fe-based pnictide superconductors is studied within a Ginzburg-Landau approach. We show that the magnetoelastic coupling between the corresponding order parameters is behind the salient features observed in the phase diagram of these systems. This naturally explains the coincidence of transition temperatures observed in some cases as well as the character (first or second-order) of the transitions. We also show that magnetoelastic coupling is the key ingredient determining the collinearity of the magnetic ordering, and we propose an experimental criterion to distinguish between a pure elastic from a spin-nematic-driven structural transition.Comment: 5 pages, 3 figures. v2: Fig. 1 improved, references added

Interplay of paramagnetic, orbital and impurity effects on the phase transition of a normal metal to superconducting state

We derive the generalized Ginzburg-Landau free energy functional for conventional and unconventional singlet superconductors in the presence of paramagnetic, orbital and impurity effects. Within the mean field theory, we determine the criterion for appearence of the non uniform (Fulde-Ferrell-Larkin-Ovchinnikov) superconducting state, with vortex lattice structure and additional modulation along the magnetic field. We also discuss the possible change of the order of transition from normal to superconducting state. We find that the superconducting phase diagram is very sensitive to geometrical effects such as the nature of the order parameter and the shape of the Fermi surface. In particular, we obtain the qualitative phase diagrams for three-dimensional isotropic s-wave superconductors and in quasi two-dimensional d-wave superconductors under magnetic field perpendicular to the conducting layers. In addition, we determine the criterion for instability toward non uniform superconducting state in s-wave superconductors in the dirty limit.Comment: 15 pages, 4 figure

Electrodynamics of Fulde-Ferrell-Larkin-Ovchinnikov superconducting state

We develop the Ginzburg-Landau theory of the vortex lattice in clean isotropic three-dimensional superconductors at large Maki parameter, when inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov state is favored. We show that diamagnetic superfluid currents mainly come from paramagnetic interaction of electron spins with local magnetic field, and not from kinetic energy response to the external field as usual. We find that the stable vortex lattice keeps its triangular structure as in usual Abrikosov mixed state, while the internal magnetic field acquires components perpendicular to applied magnetic field. Experimental possibilities related to this prediction are discussed.Comment: 5 pages, 1 figur