Chiral p wave superconductivity of sr2ruo4

Chiral p wave superconductivity of sr2ruo4 nghiên cứu về hóa học, đề tài nghiên cứu về mảng hóa học từ các phương pháp thực nghiệm trong hóa học và nghiên cứu hóa học, có vai trò quan trọng trong ngành nghiên cứu khoa học cơ bản

[...]... examining surface current in the presence of spinorbit and inter-layer coupling 23 References [1] A .P. Mackenzie and Y Maeno,  The superconductivity of Sr2RuO4 and the physics of spin- triplet pairing , Rev Mod Phys 75, 657 (2003) [2] T.Oguchi, Electronic band structure of the superconductor Sr2RuO4 , Phys Rev B 51, 13851388 (1995) [3] P G de Gennes,  The Superconductivity of Metals and Alloys , Westview,... the width of the strip is large enough, the edge states appears more clearly, as shown in gure 13, gure 14 and gure 15 However, the edge states of the superconducting quasi-1D strip do not cross the gap like in the superconducting quasi-2D strip, 19 but roughly remain on the gap 6 Spectra of Sr2 RuO4 In The Presence of Spin Orbit And Interlayer Coupling 6.1 Spin Orbit Coupling Spin-orbit coupling aects... Figure 5: The spectrum of the superconducting quasi-2D periodic sample in k space for t = 0.8 meV, t = 0.3 meV, µ = −2 meV, ∆cc = 1.0 meV 1 Figure 5 shows the excitation spectra of the quasi-2D periodic sample The gap band is non zero for all values of momentum Strip Geometry 4.2 We now turn to the case of open boundary conditions, using a strip geometry We assume that the strip sample is periodic in... ruthenate , Eur Phys J B 36, 301 (2003) [7] Atomic orbital http://en.wikipedia.org/wiki/D_orbital Retrieved May 31th, 2011 [8] B J.Powell, J F Annett and B L Gyory, The gap equations for spin singlet and triplet ferromagnetic superconductors , Journal Of Physics A-Mathematical And General 36, 9289 (2003) [9] C Kallin and A J Berlinsky,  Is Sr2RuO4 a chiral p- wave superconductor? , J Phys.: Condens... and M Ozaki,  Spin-Triplet Superconductivity with Line Nodes in Sr 2RuO 4 , J Phys Soc Jpn 69, 336 (2000) [11] S Raghu, is Sr2RuO4 a chiral topological superconductor?, notes submitted to Stanford University (2009)(unpublished) [12] M W Haverkort, I S Elmov, L H Tjeng, G A Sawatzky, and A Damascelli,  Strong Spin-Orbit Coupling Eects on the Fermi Surface of Sr2RuO4 and Sr2RhO4 , Phys Rev Lett... Figure 16: The Fermi surface of Sr2 RuO4 : in the absence of spin orbit coupling (c), in the presence of spin orbit coupling (d) [12] In real space, the spin orbit coupling is dened as: Hso = η m=m σ,σ − → ri † → Cm,−i ,σ Cm ,−i ,σ lmm σσσ → r r (52) The angular momentum operator, lmm , is expressed in terms of a totally anti-symmetric tensor α as l = i αmm , and the Pauli matrices mm 20   σx ... for a periodic sample and then for a strip Sr2 RuO4 is a triplet state and its Fermi surface is formed by the a, b and c or4+ bitals of ruthenium ion Ru , thus, there is spin-orbit coupling between those orbitals Moreover, the crystal structure of Sr2 RuO4 allows inter-layer coupling in layers Taking all of these eects into account, we calculated the spectra of Sr2 RuO4 in the presence of spin-orbit... 11 plane, except for the fact that the strip Figure 6: The excitation spectra of the superconducting quasi-2D strip with n = 2 for µ = −2 meV, , t = 0.8 meV, t = 0.3 meV, ∆cc = 1.0 meV Figure 7: The excitation spectra of the superconducting quasi-2D strip with n = 4 for t = 0.8 meV, t = 0.3 meV, ∆cc = 1.0 meV 12 µ = −2 meV, , Figure 8: The excitation spectra of the superconducting quasi-2D strip with... 1 meV Each energy band of the excitation spectra of the quasi-1D periodic sample has two sheets and each of them contains a cylinder but those cylinders are perpendicular to each other, as shown in gure 12 However, when slicing through the kx plane in the previous gure, we see the gap between the energy bands 5.2 Strip Geometry The kinetic energy and the pairing of a strip with n sites in the x... with this model, which keeps only the γ band, as a simple case before investigating the quasi-1D model in the next section 4.1 Periodic Boundary Conditions Chiral P- wave order supports special edge states, so it will be of interest to study a system with open boundary conditions However, we rst study the simpler case of periodic boundary conditions Here we calculate the energy spectrum for this case In