Superconductivity in spin-
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 systems: Symmetry classification, odd-frequency pairs, and Bogoliubov Fermi surfaces

Dutta, Paramita; Parhizgar, Fariborz; Black‐Schaffer, Annica M.

doi:10.1103/physrevresearch.3.033255

Cited by 26 publications

(9 citation statements)

References 59 publications

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“…Note that T * is simply the exchange of relative time, different from time-reversal T . Moreover, there was recently a generalization of these operators to systems with strong SOC involving the exchange of total angular momentum Ĵ instead of the exchanges of spin Ŝ and orbitals Ô [76]. We did not consider it in this work.…”

Section: Superconducting Gap Functionmentioning

confidence: 99%

Coexistence of Even- and Odd-Frequency Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling

Gingras,

Allaglo,

Nourafkan

et al. 2022

Preprint

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The symmetry of the superconducting order parameters in multi-orbital systems involves many quantum numbers. Pairing mediated by electronic correlations being retarded, the frequency structure of superconducting order parameters bears important information. Here we generalize the frequency-dependent theory of superconductivity mediated by spin and charge fluctuations to systems with spin-orbit coupling. This formulation is applied to strontium ruthenate with a normal state obtained using density functional theory. Taking advantage of pseudospin and inversion symmetries, the inter-pseudospin sector of the normal state Eliashberg equation is mapped to a pseudospin-diagonal one. We find ubiquitous entanglement of spin and orbital quantum numbers, along with notable mixing between even-and odd-frequency correlations. We present the phase diagrams for leading and subleading symmetries in the pseudospin-orbital basis of Sr2RuO4. They are characterized using SP OT contributions, group theory, phase distributions in the complex plane and temperature dependence.

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Section: Superconducting Gap Functionmentioning

confidence: 99%

Coexistence of Even- and Odd-Frequency Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling

Gingras,

Allaglo,

Nourafkan

et al. 2022

Preprint

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“…From several followup works, the general prescription for the appearance of BFSs is provided as: SCs possessing additional degrees of freedom (e.g. orbital or sublattice) other than spin, host both interband and intraband pairings, out of which a pseudomagnetic field appears and causes BFSs [3][4][5][6][7][8][9][10][11][12][13][14]. For such exotic nature of pairing states, iron-based superconductors [15][16][17][18][19][20], half-Huesler compounds [3,4,[21][22][23][24][25][26][27], UPt 3 [28,29], twisted bilayer graphene [30][31][32] etc are proposed as candidate materials.…”

Section: Introductionmentioning

confidence: 99%

Transport signatures of Bogoliubov Fermi surfaces in normal metal/time-reversal symmetry broken d-wave superconductor junctions

Pal,

Saha,

Dutta

2024

New J. Phys.

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In recent times, Bogoliubov Fermi surfaces (BFSs) in superconductors (SCs) have drawn significant attention due to a substantial population of Bogoliubov quasiparticles (BQPs) together with Cooper pairs (CPs) in them. The BQPs as zero energy excitations give rise to captivating and intricate charge dynamics within the BFSs. In this theoretical study, we propose to reveal the unique signatures of the topologically protected BFSs in bulk $d$-wave SCs using normal metal/time-reversal symmetry (TRS) broken \dw SC hybrid setup, in terms of the differential conductance and Fano factor (FF). Orientation of crystal $a$ axis with respect to junction normal, quantified by the parameter $\alpha$, is crucial for transport properties in these hybrid devices. For $\alpha=0$, an enhancement in zero-bias conductance (ZBC) can be identified as a key signature of BFSs. However, for $\alpha\ne0$, this feature does not replicate due to the presence of the localized Andreev bound state (ABS) at the interface. The interplay of ABS and BFSs gives rise to an anomalous behavior in ZBC compared to the $\alpha=0$ case. This behavior remains qualitatively similar even at finite temperatures. Finally, we explain this anomalous behavior by analyzing the effective charge of the carriers in terms of the FF. The simplicity of our setup based on \dw SC makes our proposal persuasive.

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“…These so-called quadratic nodal semimetals can be described within the 4-band Luttinger model (LM) [22,23]. Luttinger materials display a rich variety of topological phases induced by perturbations, i. e., in the presence of strain they are 3D topological insulators [24][25][26] or topological semimetals [22,[27][28][29][30], with local attractive electronelectron interaction they transform into superconducting phase [31,32], and they can show higher spin SC pairings [33][34][35][36][37][38][39]. Our models are appealing for two reasons: on the one hand, they give a more realistic description of materials.…”

Section: Introductionmentioning

confidence: 99%

Intrinsic emergence of Majorana modes in Luttinger j=3/2 systems

Mayer,

Sierra,

Hankiewicz

2022

Preprint

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We analyze theoretically two different setups for s-wave superconductivity (SC) proximitized j = 3/2 particles in Luttinger materials that are able to host Majorana bound states (MBSs). First, we consider a one-dimensional SC wire with intrinsic bulk inversion asymmetry (BIA). In contrast to wires, modeled by a quadratic dispersion with Rashba spin-orbit coupling, there are two topological phase transitions in our systems at finite magnetic fields. Second, we analyze a two-dimensional Josephson junction on the Luttinger model finding a topological region even in the absence of BIA and Rashba spin-orbit couplings. This originates from the hybridization of the light and heavy hole bands of the j = 3/2 states in combination with the SC pairing. As a consequence, both systems can be driven into a topological phase hosting MBSs. Hence, we predict that MBSs form in any SC proximitized Josephson junction on 2D Luttinger materials by the application of magnetic field alone. This opens a new avenue for the search of topological SC.

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Superconductivity in spin- 3/2 systems: Symmetry classification, odd-frequency pairs, and Bogoliubov Fermi surfaces

Cited by 26 publications

References 59 publications

Coexistence of Even- and Odd-Frequency Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling

Coexistence of Even- and Odd-Frequency Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling

Transport signatures of Bogoliubov Fermi surfaces in normal metal/time-reversal symmetry broken d-wave superconductor junctions

Intrinsic emergence of Majorana modes in Luttinger j=3/2 systems

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