Superconductivity in materials without spatial inversion symmetry is studied. We show that contrast to common belief, spin-triplet pairing not entirely excluded such systems. Moreover, paramagnetic limiting analyzed for both spin-singlet and -triplet pairing. The lack of reduces the effect These results are applied MnSi ${\mathrm{C}\mathrm{e}\mathrm{P}\mathrm{t}}_{3}\mathrm{S}\mathrm{i}$.

We investigate the order parameter of noncentrosymmetric superconductors ${\mathrm{Li}}_{2}{\mathrm{Pd}}_{3}\mathrm{B}$ and ${\mathrm{Li}}_{2}{\mathrm{Pt}}_{3}\mathrm{B}$ via behavior penetration depth $\ensuremath{\lambda}(T)$. The low-temperature shows BCS-like in ${\mathrm{Li}}_{2}{\mathrm{Pd}}_{3}\mathrm{B}$, while it follows a linear temperature dependence. propose that broken inversion symmetry accompanying antisymmetric spin-orbit coupling, which admix spin-singlet spin-triplet...

We review the physics of pair density wave (PDW) superconductors. begin with a macroscopic description that emphasizes order induced by PDW states, such as charge wave, and discuss related vestigial states emerge consequence partial meting order. critically mounting experimental evidence for in cuprate superconductors, status theoretical microscopic order, current debate on whether is "mother order" or another competing cuprates. In addition, we give an overview weak coupling version...

It is commonly believed that, in the absence of disorder or an external magnetic field, there are three possible types superconducting excitation gaps: The gap nodeless, it has point nodes, line nodes. Here, we show for even-parity nodal state which spontaneously breaks time-reversal symmetry, low-energy spectrum generally does not belong to any these categories; instead, extended Bogoliubov Fermi surfaces. These surfaces can be visualized as two-dimensional generated by "inflating" nodes...

An unconventional superconducting state was recently discovered in uranium ditelluride (UTe2), which spin-triplet superconductivity emerges from the paramagnetic normal of a heavy-fermion material. The coexistence magnetic fluctuations and superconductivity, together with crystal structure this material, suggests that distinctive set symmetries, properties, topology underlie state. Here, we report observations nonzero polar Kerr effect two transitions specific heat upon entering state,...

We report the discovery of two-phase unconventional superconductivity in CeRh$_2$As$_2$. Using thermodynamic probes, we establish that superconducting critical field its high-field phase is as high 14 T, remarkable a material whose transition temperature 0.26 K. Furthermore, $c$-axis drives between two different phases. In spite fact CeRh$_2$As$_2$ globally centrosymmetric, show local inversion-symmetry breaking at Ce sites enables Rashba spin-orbit coupling to play key role underlying...

Altermagnets feature vanishing net magnetization, similar to antiferromagnets, but exhibit time-reversal symmetry breaking and spin-split band structures. This work constructs minimal models for altermagnetism based on arguments considering two magnetic atoms in the unit cell demonstrates that these can capture key properties of structure altermagnetic spin splitting material candidate RuO${}_{2}$. Notably, have ground states give rise a Berry curvature conductivity linear spin-orbit coupling.

We show that for superconducting ${\mathrm{Sr}}_{2}{\mathrm{RuO}}_{4}$ any unconventional pairing in the part of Fermi surface with Ru ${4d}_{\mathrm{xy}}$ orbital character is weakly coupled to ${{4d}_{\mathrm{xz}}{,4d}_{\mathrm{yz}}}$ character. This naturally gives rise two disparate energy scales state which leads novel low temperature properties a variety thermodynamic and transport would also account large residual density states seen specific heat nuclear quadrapole resonance measurements.

We consider the role of magnetic fields on broken inversion superconductor CePt3Si. show that upper critical field for a along c axis exhibits much weaker paramagnetic effect than applied perpendicular to axis. The in-plane is strongly reduced by appearance helical structure in order parameter. find that, get good agreement between theory and recent experimental measurements H(c2), this required. propose Josephson junction experiment can be used detect order. In particular, we predict...

In materials without spatial inversion symmetry the spin degeneracy of conduction electrons can be lifted by an antisymmetric spin-orbit coupling. We discuss influence this coupling on susceptibility such superconductors, with a particular emphasis recently discovered heavy Fermion superconductor CePt3Si. find that, for compound (with tetragonal crystal symmetry,) irrespective pairing symmetry, stable superconducting phases would give very weak change fields along c-axis and intermediate...

We theoretically consider the superconductivity of topological half-Heusler semimetals YPtBi and LuPtBi. show that pairing occurs between j=3/2 fermion states, which leads to qualitative differences from conventional theory j=1/2 states. In particular, this permits Cooper pairs with quintet or septet total angular momentum, in addition usual singlet triplet Purely on-site interactions can generate s-wave time-reversal symmetry-breaking states topologically nontrivial point line nodes. These...

This paper proposes an even-parity chiral superconducting order parameter for strontium ruthenate. Using a three-dimensional three-band model the band structure, authors show that local interactions can stabilize such pairing state at weak coupling but only once small symmetry-allowed inter-layer spin-orbit terms are taken into account.

The authors present a general theory for Fermi surfaces of Bogoliubov quasiparticles in superconductors with broken time-reversal symmetry. These form two-dimensional nodes the superconducting gap, which are unique to pairing states ``nonunitary'' structure. This generates nonsuperconducting magnetic order intertwined superconductivity, is responsible inflating expected zero- or one-dimensional into surfaces. Such should be large class that break

We analyze incommensurate charge-density-wave (CDW) and pair-density-wave (PDW) orders with transferred momenta (±Q,0)/(0,±Q) in underdoped cuprates within the spin-fermion model. Both appear due to an exchange of spin fluctuations before magnetic order develops. argue that ordered state lowest energy has nonzero CDW PDW components same momentum. Such a breaks C_{4} lattice rotational symmetry, time-reversal mirror symmetries. feedback from CDW/PDW on fermionic dispersion is consistent ARPES...

Low-temperature electrical and thermal transport, magnetic penetration depth, heat capacity measurements were performed on single crystals of the actinide superconductor UTe2 to determine structure superconducting energy gap. Heat transport with currents directed along both crystallographic a b axes reveal vanishingly small residual fermionic component conductivity. The field dependence term follows rapid, quasilinear increase consistent presence nodal quasiparticles, rising toward a-axis...

Evidence of unconventional superconducting state in a topological semimetal confirms unprecedented spin-3/2 Cooper pairing.

$\mathrm{U}{\mathrm{Te}}_{2}$ is a likely spin-triplet superconductor that also exhibits evidence for chiral Majorana edge states. A characteristic structural feature of inversion-symmetry related pairs U atoms, forming rungs ladders. Here we show how each rung's two sublattice degrees freedom play key role in understanding the electronic structure and origin superconductivity. In particular, $\mathrm{DFT}+U$ calculations generically reveal topological band near chemical potential...

New theoretical work explores how the superconducting state in monolayer NbSe${}_{2}$ remains robust large magnetic fields and sets stage for further studies of similar Ising superconductivity other materials.

Inversion and time reversal are essential symmetries for the structure of Cooper pairs in superconductors. The loss one or both leads to modifications this can change properties superconducting phases profound ways. Lacking inversion, superconductivity noncentrosymmetric materials has become an important topic, particular, context topological as well unusual magnetic magneto-electric properties. Recently, crystal structures with local, but not global inversion-symmetry breaking have...

CeRh${}_{2}$As${}_{2}$ has attracted attention for a field-induced transition between two distinct superconducting states. The authors argue that the nonsymmorphic symmetry of crystal lattice enables this. This enforces spin polarization Bloch states at Brillouin zone edges to be parallel edges. Such ensures near-degeneracy even- and odd-parity channels, provided Fermi surface sits near these First-principles calculations incorporating electronic correlations reveal consistent with this picture.

The vortex lattice structures of ${\mathrm{Sr}}_{2}{\mathrm{RuO}}_{4}$ for the odd-parity representations superconducting state are examined. Particular emphasis is placed upon two dimensional representation which believed to be relevant this material. It shown that when zero-field breaks time reversal symmetry, there must exist transitions a finite field along high symmetry direction in basal plane. Also it square expected $c$ axis. orientation with respect underlying ionic yields...

Due to the lack of both parity and time-reversal symmetries, Rashba superconductors $\mathrm{Ce}{\mathrm{Pt}}_{3}\mathrm{Si}$, $\mathrm{Ce}\mathrm{Rh}{\mathrm{Si}}_{3}$, $\mathrm{Ce}\mathrm{Ir}{\mathrm{Si}}_{3}$, in presence a magnetic field, are unstable helical (single plane wave) order. We develop microscopic theory for such examine stability this phase. show that phase typically occupies most field--temperature diagram. However, we also find is sometimes multiple-$q$ (loosely called...