arXiv subjects

L. P. Gor'kov

Publications and source records attributed to L. P. Gor'kov.

18 recordsLinked to original sources

arXiv2008

On the observation of the spin resonance in superconducting CeCoIn_5

Recent observation of a resonance spin excitation at (1/2,1/2,1/2) in the superconducting state of CeCoIn_5 [C. Stock et al., Phys. Rev. Lett. {\bf 100} 087001 (2008)] was interpreted as an evidence for d_{x^2-y^2} gap symmetry, by analogy with the cuprates. This is true if the resonance is a spin exciton. We argue that such description is undermined by the three-dimensionality of CeCoIn_5. We show that in 3D systems the excitonic resonance only emerges at strong coupling, and is weak. We argue in favor of the alternative, magnon scenario, which does not require a d_{x^2-y^2} gap.

cond-mat.str-el↗

arXiv2007

Gapless Fermi Surfaces in anisotropic multiband superconductors in magnetic field

We propose that a new state with a fully gapless Fermi surface appears in quasi-2D multiband superconductors in magnetic field applied parallel to the plane. It is characterized by a paramagnetic moment caused by a finite density of states on the open Fermi surface. We calculate thermodynamic and magnetic properties of the gapless state for both s-wave and d-wave cases, and discuss the details of the 1-st order metamagnetic phase transition that accompanies the appearance of the new phase in s-wave superconductors. We suggest possible experiments to detect this state both in the s-wave (2-H NbSe2) and d-wave (CeCoIn5) superconductors.

cond-mat.supr-con↗

arXiv2006

Nature of superconducting state in the new phase in (TMTSF)$_{2}$PF$_{6}$ under pressure

The unusual phase has been recently observed in the organic material (TMTSF)$_{2}$PF$_{6}$, where superconductivity (SC) coexists with spin-density wave (SDW) in the pressure interval $p_{c1}<p<p_{c}$ below the first order transition into SC or normal metal phase. Assuming that the coexistence takes place on the microscopic scale, we consider the properties of the intermediate phase. We show that the new superconducting state inside SDW phase just above $p_{c1}$ must bear a triplet pairing.

cond-mat.supr-con↗

arXiv2006

Gapless Fermi Surfaces in Superconducting CeCoIn5?

According to [M.A. Tanatar et al., Phys. Rev. Lett. 95, 067002 (2005)], in a multi-band d-wave superconductor CeCoIn5 electrons remain partially uncondensed. Interactions must induce superconducting order on all Fermi surfaces. We calculate specific heat and thermal conductivity in a two band model in presence of defects. Superconductivity originates on one Fermi surface, inducing a smaller gap on the other. Impurities diminish the induced gap and increase the density of states, restoring rapidly the Wiedemann-Franz law for this Fermi surface. Our calculations are in agreement with experiment.

cond-mat.supr-con↗

arXiv2006

Antiferromagnetism and hot spots in CeIn$_3$

Enormous mass enhancement at ''hot spots'' on the Fermi surface (FS) of CeIn$_3$ has been reported at strong magnetic field near its antiferromagnetic (AFM) quantum critical point [T. Ebihara et al., Phys. Rev. Lett. 93, 246401 (2004)] and ascribed to anomalous spin fluctuations at these spots. The ''hot spots'' lie at the positions on FS where in non-magnetic LaIn$_3$ the narrow necks are protruded. In paramagnetic phase CeIn$_3$ has similar spectrum. We show that in the presence of AFM ordering its FS undergoes a topological change at the onset of AFM order that truncates the necks at the ''hot spots'' for one of the branches. Applied field leads to the logarithmic divergence of the dHvA effective mass when the electron trajectory passes near or through the neck positions. This effect explains the observed dHvA mass enhancement at the ''hot spots'' and leads to interesting predictions concerning the spin-dependence of the effective electron mass. The (T,B)-phase diagram of CeIn$_3$, constructed in terms of the Landau functional, is in agreement with experiment.

cond-mat.str-el↗

arXiv2005

Soliton phase near antiferromagnetic quantum critical point in Q1D conductors

In the frameworks of a nesting model for Q1D organic conductor at the antiferromagnetic (SDW) quantum critical point the first-order transition separates metallic state from the soliton phase having the periodic domain structure. The low temperature phase diagram also displays the 2nd-order transition line between the soliton and the uniformly gapped SDW phases. The results agree with the phase diagram of (TMTSF)$_2$PF$_6$ near critical pressure [T. Vuletic et al., Eur. Phys. J. B 25, 319 (2002)]. Detection of the 2nd-order transition line is discussed. We comment on superconductivity at lowest temperature.

cond-mat.str-el↗

arXiv2004

Pseudogap behavior of nuclear spin relaxation in high Tc superconductors in terms of phase separation

We analyze anew experiments on the NMR in cuprates and find an important information on their phase separation and its stripe character hidden in the dependence of $1/^{63}T_{1}$ on degree of doping. In a broad class of materials $1/^{63}T_{1}$ is the sum of two terms: the temperature independent one attributed to ``incommensurate'' stripes that occur at external doping, and an ``universal'' temperature dependent term ascribed to moving metallic and AF sub-phases. We argue that the frustrated first order phase transition in a broad temperature interval bears a dynamical character.

cond-mat.str-el↗

arXiv2004

Nuclear spin relaxation and incommensurate magnetism in doped cuprates

Existing data on Cu-nuclear spin relaxation reveal two independent relaxation processes: the one that is temperature independent we link to incommensurate peaks seen by neutrons, while the ''universal'' temperature dependent contribution coincides with 1/{63}^T_{1}(T) for two-chain YBCO 124. We argue that this new result substitutes for a ''pseudogap'' regime in a broad class of high-T_c cuprates and stems from the 1st order phase transition that starts well above the superconductivity T_c but becomes frustrated because of broken electroneutrality in the CuO_2 plane.

cond-mat.supr-con↗

arXiv2003

Breakup of a Stoner model for the 2D ferromagnetic quantum critical point

Re-interpretation of the results by [A. V. Chubukov et. al., Phys. Rev. Lett. 90, 077002 (2003)] leads to the conclusion that ferromagnetic quantum critical point (FQCP) cannot be described by a Stoner model because of a strong interplay between the paramagnetic fluctuations and the Cooper channel, at least in two dimensions.

cond-mat.str-el↗

arXiv2003

Exact asymptotic form of the exchange interactions between shallow centers in doped semiconductors

The method developed in [L. P. Gor'kov and L. P. Pitaevskii, Sov. Phys. Dokl. 8, 788 (1964); C. Herring and M. Flicker, Phys. Rev. 134, A362 (1964)] to calculate the asymptotic form of exchange interactions between hydrogen atoms in the ground state is extended to excited states. The approach is then applied to shallow centers in semiconductors. The problem of the asymptotic dependence of the exchange interactions in semiconductors is complicated by the multiple degeneracy of the ground state of an impurity (donor or acceptor) center in valley or band indices, crystalline anisotropy and strong spin-orbital interactions, especially for acceptor centers in III-V and II-VI groups semiconductors. Properties of two coupled centers in the dilute limit can be accessed experimentally, and the knowledge of the exact asymptotic expressions, in addition to being of fundamental interest, must be very helpful for numerical calculations and for interpolation of exchange forces in the case of intermediate concentrations. Our main conclusion concerns the sign of the magnetic interaction -- the ground state of a pair is always non-magnetic. Behavior of the exchange interactions in applied magnetic fields is also discussed.

cond-mat↗

arXiv2002

Spin relaxation and antisymmetric exchange in n-doped III-V semiconductor

Recently K. Kavokin [Phys. Rev. B 64, 075305 (2001)] suggested that the Dzyaloshinskii-Moriya interaction between localized electrons governs slow spin relaxation in $n$-doped GaAs in the regime close to the metal-insulator transition. We derive the correct spin Hamiltonian and apply it to the determination of spin dephasing time using the method of moments expansion. We argue that the proposed mechanism is insufficient to explain the observed values of the spin relaxation time.

cond-mat↗

arXiv2002

Even-odd effects in magnetoresistance of ferromagnetic domain walls

Difference in density of states for the spin's majority and minority bands in a ferromagnet changes the electrostatic potential along the domains, introducing the discontinuities of the potential at domain boundaries. The value of discontinuity oscillates with number of domains. Discontinuity depends on the positions of domain walls, their motion or collapse of domain walls in applied magnetic field. Large values of magnetoresistance are explained in terms of spin-accumulation. We suggest a new type of domain walls in nanowires of itinerant ferromagnets, in which the magnetization vector changes without rotation. Absence of transverse magnetization components allows considerable spin accumulation assuming the spin relaxation length, L_S, is large enough.

cond-mat.mtrl-sci↗

arXiv2002

On magnetoconductivity of metallic manganite phases and heterostructures

We use the double exchange (DE) model via degenerate orbitals and tight-binding approximation to study the magnetoconductivity of a canted A-phase of pseudo-cubic manganites. It is argued that the model is applicable in a broad concentration range for manganites with the tolerance factor, t, close to one. As for the substitutional disorder, scattering on random Jahn-Teller distortions of MnO6 octahedra is chosen. We emphasize an intimate correlation between the carrier concentration and resistivity value of metallic manganites. Magnetoresistance as a function of magnetization is calculated for a canted A-phase for both in-plane and out-of-plane current directions. A contact between two manganite phases is considered and structure of the transition region near the contact is discussed. Numerical calculations show charge re-distribution near the contact and a large screening length of the order of five inter-atomic distances. We employed our results to interpret data obtained in recent experiments on La0.4Sr0.6MnO3/La0.55Sr0.45MnO3 superlattices. We also briefly discuss the relative importance of the cooperative Jahn-Teller distortions, double exchange mechanism and super-exchange interactions for the formation of the A-phase at increasing Sr concentrations x>0.45 in LSMO to suggest that the Jahn-Teller contraction of octahedra, c/a<1, plays a prevailing role.

cond-mat.str-el↗

arXiv2001

Superconductivity in an organic insulator at very high magnetic fields

We investigate by electrical transport the field-induced superconducting state (FISC) in the organic conductor $λ$-(BETS)$_2$FeCl$_4$. Below 4 K, antiferromagnetic-insulator, metallic, and eventually superconducting (FISC) ground states are observed with increasing in-plane magnetic field. The FISC state survives between 18 and 41 T, and can be interpreted in terms of the Jaccarino-Peter effect, where the external magnetic field {\em compensates} the exchange field of aligned Fe$^{3+}$ ions. We further argue that the Fe$^{3+}$ moments are essential to stabilize the resulting singlet, two-dimensional superconducting state

cond-mat.str-el↗

arXiv2000

First order valence transition in YbInCu_4 in the (B,T) - plane

The puzzling properties of the first order phase transition in YbInCu$_4$ and its alloys in the wide range of magnetic fields and temperatures are perfectly described in terms of a simple entropy transition for free Yb ions. In particular, it turns out that the transition line in the $(B,T)$-plane is very close to the elliptic shape, as it has been observed experimentally. Similar calculations are done, and the experiments are proposed for the $(γ{-}α)$ phase transition in Ce in Megagauss fields. We speculate, that in case of YbInCu$_4$ the first order transition is a Mott transition between a higher temperature phase in which localized moments are stabilized by the entropy terms in the free energy, and a band-like non-magnetic ground state of the $f$-electrons.

cond-mat.str-el↗

arXiv1999

Peculiarities in Low Temperature Properties of Doped Manganites A1-xBxMnO3

The phase diagram and low temperature properties of the doped manganites A1-xBxMnO3 are discussed for the concentrations x < 0.4. The transition from insulating antiferromagnetic to metallic ferromagnetic state at x_cr = 0.16 is treated by means of percolation theory. The unifying description of insulating and metallic states is presented. The undoped manganite is a band insulator consisting of ferromagnetic layers, which are coupled antiferromagnetically along the c direction with a low Neel temperature. The metallic phase can be described by the two-band Fermi liquid picture. The behavior of conductivity, spin wave excitations, etc. is analyzed and the comparison with experimental data is carried out.

cond-mat.str-el↗

arXiv1999

Fermi Liquid Theory and Ferromagnetic Manganites at Low Temperatures

Fermi liquid characteristics for ferromagnetic ~manganites, A$_{1-x}$B$_x$MnO$_3$, are evaluated in the tight-binding approximation and compared with experimental data for the best studied region $x\simeq0.3$. The bandwidths change only slightly for different compositions. The Sommerfeld coefficient, $γ$, the $T^2$-term in resistivity and main scales in optical conductivity agree well with the two band model. The ``2.5'' - transition due to a ``neck'' forming at Fermi surface, is found at $x=0.3$. The mean free path may change from 3 to 80 interatomic distances in the materials, indicating that samples' quality remains a pressing issue for the better understanding of manganites.

cond-mat.str-el↗

arXiv1993

Evolution of Magnetic Properties of Lightly Doped Copper Oxides

We study how doping destroys the AF order in the layered cuprates within the framework of the charge--transfer insulator concept. We use the criterion of stability of the AF background to show that the stability problem is one of the main issues in any correspondence between results for the $t-J$ model and, say, the three--band model for the lightly--doped layered oxides. Provided a phenomenological conduction band is chosen to satisfy the criterion of stability, a detailed picture of how dopants influence the spin wave spectrum at $T=0$ is presented. The critical concentration $x_c$ for the destruction of the AF long range order is due to the Cherenkov effect when the Fermi velocity first exceeds the spin wave velocity. We then discuss the overall spectrum of spin excitations and find that the spin wave attenuation for $x < x_c$, $T=0$ due to Landau damping appears in the range of magnon momenta $k(x) = 2 m^* s \pm α\sqrt{x}$. We also argue that in the presence of superconductivity, the Cherenkov effect is eliminated due to the gap in the spectrum. This may restore the role of the AF fluctuations as the main source of dissipation at the lowest temperatures.

cond-mat↗