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V. P. Mineev

Publications and source records attributed to V. P. Mineev.

At least 19 recordsLinked to original sources

Berry-Curvature Effect in Anomalous Transport

A theory of the Berry-phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential has been developed by Di Xiao et al in Phys. Rev. Lett. 97, 026603 (2006) based on a field-dependent density of states generating an additional contribution to the current density. We present an alternative derivation of the Berry- phase effect in anomalous transport in altermagnets and noncentrosymmertric metals based on quasiclassic matrix kinetic equation. Along with anomalous Hall effect an anomalous heat flow and anomalous thermalelectric currents are also derived.

cond-mat.str-el

Altermagnets versus Antiferromagnets

Altermagnets are substances with a momentum-dependent spin splitting of electron bands due to a specific crystal structure that is invariant under time reversal only in combination with rotations and reflections. The developed phenomenological approach allows to obtain a spectrum of electron bands in altermagnets corresponding to antiferromagnets with the same symmetry. We consider antiferromagnetic, weak ferromagnetic, and ferrimagnetic structures. The calculated Berry curvature of electron bands in the alterrmarnet with zero spontaneous magnetisation occurs an odd function of momentum whereas it is even in a weak ferromagnetic state. The Berry curvature in ferrimagnetic state is equal to zero.

cond-mat.str-el

URhGe -- Altermagnetic Ferromagnet

It is well known that the anomalous Hall effect in ferromagnetic and strongly paramagnetic metals in addition to electron skew scattering on impurities is determined by internal mechanism linked to the Berry curvature, a quantum-mechanical property of the electron states of a perfect crystal. Experimentally, however, it has been established that the Berry curvature does not play any role in the Hall resistance of the ferromagnet URhGe. URhGe is so called altermagnetic ferromagnet which crystal symmetry includes operation of time inversion only in combination with rotations and reflections. The explanation for strictly zero Berry curvature of electronic states in this material lies in the non-symmorphic symmetry of its crystal lattice.

cond-mat.str-el

Phase Diagram of UTe$_2$

The pressure-temperature phase diagram of superconducting UTe$_2$ with three lines of the second-order phase transitions cannot be explained in terms of successive transitions to superconducting states with a decrease in symmetry. The problem is solved using a two-band description of the superconducting state of UTe$_2$.

cond-mat.supr-con

Altermagnetic and Noncentrosymmetric Metals

A theory of the normal and superconducting states of piezomagnetic metals, which are altermagnetic materials, has been developed. This has been done in comparison with the corresponding theoretical description for metals that do not have spatial inversion symmetry. Particular attention has been paid to the problem of the anomalous Hall effect, and its absence has been demonstrated in both altermagnetic and non-centrosymmetric metals. It has been shown that the superconducting state in altermagnets always arises by pairing electrons from zones split by spin-orbit interaction, which makes the existence of such superconductors unlikely.

cond-mat.str-el

Toroid, Altermagnetic and Noncentrosymmetric ordering in metals

This article is dedicated to the 60-th anniversary of the Landau Institute for Theoretical Physics and presents a review of normal and superconducting properties of toroidal, altermagnetic, and noncentrosymmetric metals. Metals with toroidal order are compounds not possessing symmetry in respect of space and time inversion but are symmetric in respect of the product of these operations. An electric current propagating through samples of such a material causes its magnetisation. Superconducting states in toroidal metals are a mixture of singlet and triplet states. Superconductivity is gapless even in ideal crystals without impurities. Altermagnets are antiferromagnetic metals that have a specific spin splitting of electron bands determined by time inversion in combinations with rotations and reflections of a crystal lattice. Similar splitting takes place in metals whose symmetry does not have a spatial inversion operation. Both of these types of materials have an anomalous Hall effect. A current propagating through a noncentrosymmetric metal causes magnetization, but this is not the case in altermagnets. On the other hand, in altermagnets, there is a specific piezomagnetic Hall effect. Superconducting pairing in non-centrosymmetric metals occurs between electrons occupying states in one zone, whereas, in altermagnets, we are dealing with interband pairing, which is unfavorable for the formation of a superconducting state.

cond-mat.str-el

Effective mass and field-reinforced superconductivity in uranium compounds

A theory of strong coupling superconductivity in uranium compounds has been developed, based on electron-electron interaction through magnetic fluctuations described by frequency-dependent magnetic susceptibility. The magnetic field dependence of the electron effective mass is expressed through the field dependence of the magnetic susceptibility components. It is shown that the intensity of triplet pairing, and hence the critical temperature of the transition to the superconducting state, is also determined by the field-dependent susceptibility. The results are discussed in relation to the properties of ferromagnetic uranium compounds URhGe and UCoGe, as well as the recently discovered UTe2.

cond-mat.supr-con

Current induced magnetisation in metal without space-inversion symmetry

Magneto-electric effect, that is an appearance of magnetisation induced by electric current is allowed by symmetry in metals with crystal structure without space inversion. The microscopic origin of this effect is spin-orbit coupling of electrons with a non-centrosymmetric crystal lattice lifting spin degeneracy of electron energy and mixing spin and orbital degrees of freedom. The presented calculation of magnetisation induced by current based on the application of kinetic equation for the matrix distribution function of electrons occupying the states in two bands split by the spin-orbit interaction.

cond-mat.str-el

The field dependence of electron effective mass in uranium superconductors

The magnetic field dependence of electron effective mass is an important subject in consideration of physical properties of superconducting ferromagnets URhGe, UCoGe and paramagnet UTe$_2$. It is usually accepted to find this dependence from the field dependence of $A$ coefficient in the low temperature resistivity law $ρ=ρ_0+AT^2$. It is shown here that the field dependence $A(H)$ takes place also for field-independent effective mass. Whether or not the effective mass depends on the magnetic field can be checked by the measurements of the amplitude of de Haas - van Alphen magnetisation oscillations.

cond-mat.supr-con

Low temperature specific heat and thermal conductivity in superconducting UTe2

The measurements (Phys.Rev.B {\bf 100}, 220504(R) (2019)) do not detect noticeable thermal conductivity in superconducting UTe$_2$ in the T=0 limit. At the same time the same crystals exhibit a large residual density of states comparable with its normal state value. The improvement of samples quality leads to the augmentation of critical temperature of transition to the superconducting state accompanied by the decreasing of residual specific heat ratio $C(T)/T$ at $T\to 0$. There is presented an analytic derivation of this inverse correlation property in concrete cases of triplet superconducting states with node-less and point-nodes order parameters allowed by symmetry in UTe$_2$. The obtained explicit formulas for the residual thermal conductivity are in reasonable correspondence with observations.

cond-mat.supr-con

Nuclear spin-lattice relaxation time in UCoGe

The NMR measurements performed on a single orthorhombic crystal of superconducting ferromagnet UCoGe (Y.Ihara et al, Phys. Rev. Lett. v.105, 206403 (2010)) demonstrate strongly anisotropic magnetic properties of this material. The presented calculations allow to establish the dependence of longitudinal spin-lattice relaxation rate from temperature and magnetic field. The value 1/T_1T in field perpendicular to spontaneous magnetisation directed along c-axis has maximum in vicinity of Curie temperature whereas it does not reveal similar behaviour in field parallel to the direction of spontaneous magnetisation. Also there was shown that the longitudinal spin-lattice relaxation rate is strongly field dependent when the field directed in b-crystallographic direction but field independent if magnetic field is oriented along a-axis.

cond-mat.str-el

Metamagnetic phase transition in ferromagnetic superconductor URhGe

Ferromagnetic superconductor URhGe has orthorhombic structure and possesses spontaneous magnetisation along the c-axis. Magnetic field directed along the $b$-axis suppresses ferromagnetism in $c$-direction and leads to a metamagnetic transition into polarised paramagnetic state in the $b$-direction. The theory of these phenomena based on the specific magnetic anisotropy of this material in $(b,c)$ plane is given. Line of the first order metamagnetic transition ends at a critical point. The Van der Waals - type description of behaviour of physical properties near this point is developed. The triplet superconducting state destroyed by orbital effect is recreated in vicinity of the transition. It is shown that the reentrance of superconductivity is caused by the sharp increase of magnetic susceptibility in $b$ direction near the metamagnetic transition. The specific behaviour of the upper critical field in direction of spontaneous magnetisation in UCoGe and in UGe$_2$ related to the field dependence of magnetic susceptibility is discussed.

cond-mat.supr-con

Piezomagnetism in ferromagnetic superconductors

The appearance of magnetization during the application of mechanical stress and the creation of elastic deformation during the application of a magnetic field are two fundamental properties of piezomagnetic materials. The symmetry of superconducting ferromagnets UGe_2, URhGe, UCoGe allows piezomagnetism. In addition to conventional piezomagnetic properties occurring in both normal and superconducting states, superconducting state of these piezomagnets has its own specificity. Unlike conventional superconductors, in uranium ferromagnets, the critical transition temperature to the superconducting state changes its value when the direction of the field changes to the opposite.

cond-mat.supr-con

Electron-Electron Scattering and Resistivity in Non-Centrosymmetric Metals

The quadratic low-temperature dependence of resistance in ordinary metals is determined by the momentum relaxation due to electron-electron scattering in the presence Umklapp processes and scattering on impurities. In metals without inversion center spin-orbit interaction of electrons with crystal lattice lifts spin degeneracy of electron states and splits each band on two bands. The temperature dependence of electron-electron collisions scattering rate is found using the matrix kinetic equation including the electron-impurity and electron-electron intra and inter band scattering. It is shown that in clean enough case when the energy of band splitting exceeds the electron-impurity scattering rate but at the same time it is much smaller than the Fermi energy the square low-temperature dependence of resistivity is still valid.

cond-mat.str-el

Reentrant superconductivity in UTe$_2$

The reentrant superconductivity is the peculiar phenomenon observed in paramagnetic metal UTe$_2$ in magnetic field parallel to the hard magnetisation axis. It is difficult to explain it in terms of field dependent intensity of magnetic fluctuations like it is done for explanation of the formally similar phenomena in the ferromagnetic uranium superconductors URhGe, UCoGe. Extremely large initial slope of the upper critical field temperature dependence suggests that the phenomenon has the quasi-two-dimensional nature. Indeed, according to the recent band structure calculations by Yuanji Xu et al, Phys.Rev. Lett. {\bf 123}, 217002 (2019) the Fermi surface of UTe$_2$ consists of two types slightly corrugated cylinders.The theory of reentrant superconductivity in UTe$_2$ based on its quasi-two-dimensional structure is presented here.

cond-mat.supr-con

Low-Temperature Transport in Metals without Inversion Centre

Theory of low temperature kinetic phenomena in metals without inversion center is developed. Kinetic properties of a metal without inversion center are described by four kinetic equations for the diagonal (intra-band) and the off-diagonal (inter-band) elements of matrix distribution function of electrons occupying the states in two bands split by the spin-orbit interaction. The derivation of collision integrals for electron-impurity scatterings and for electron-electron scatterings in a non-centrosymmetric medium is given. Charge, spin and heat transport in the ballistic and the weak impurity scattering regimes is discussed. It is shown that the off-diagonal terms give rise the contribution in charge, spin and heat flows not only due to the interband scattering but also in the collisionless case. The zero-temperature residual resistivity and the residual thermal resistivity are determined by scattering on impurities as well as by the electron-electron scattering.

cond-mat.str-el