February 9, 2024
Recently, signature of superconductivity (SC) in the trilayer compound La$_{4}$Ni$_3$O$_{10}$ has ignited significant interest. In this study, we propose a trilayer $E_g$ orbital $t$-$J_{\parallel}$-$J_{\perp}$ model to gain insights into the superconducting behavior in this material. In the strong coupling limit, each layer is described by a $t$-$J_{\parallel}$ model with intra-layer exchange $J_{\parallel}$, while electrons can hop between layers and interact through inter-layer exchange $J_{\perp}$. Notably, the inner-layer $3d_{z^2}$-orbital electrons exhibit the potential to form bonding bands with those in the upper or lower layer. The superconducting behavior is predominantly driven by the $3d_{z^2}$ orbital, resulting in an intra-layer extended $s$-wave pairing in the outer layers, along with an inter-layer pairing. Furthermore, electron doping tends to enhance the superconductivity, while hole doping suppresses it. These findings shed light on the intriguing SC of La$_{4}$Ni$_3$O$_{10}$ and its response to charge doping.
Similar papers 1
February 7, 2024
Motivated by the recently reported signatures of superconductivity in trilayer La$_4$Ni$_3$O$_{10}$ under pressure, we comprehensively study this system using {\it ab initio} and random-phase approximation techniques. Without electronic interactions, the Ni $d_{3z^2-r^2}$ orbitals show a bonding-antibonding and nonbonding splitting behavior via the O $p_z$ orbitals inducing a ``trimer'' lattice in La$_4$Ni$_3$O$_{10}$, analogous to the dimers of La$_3$Ni$_2$O$_{7}$. The Fermi...
October 4, 2023
The discovery of high-$T_c$ superconductivity (SC) in La$_3$Ni$_2$O$_7$ (LNO) has aroused a great deal of interests. Previously, it was proposed that the Ni-$3d_{z^2}$ orbital is crucial to realize the high-$T_c$ SC in LNO: The preformed Cooper pairs therein acquire coherence via hybridization with the $3d_{x^2-y^2}$ orbital to form the SC. However, we held a different viewpoint that the interlayer pairing $s$-wave SC is induced by the $3d_{x^2-y^2}$ orbital, driven by the st...
July 27, 2023
The newly discovered high-temperature superconductivity in La$_3$Ni$_2$O$_7$ under pressure has attracted a great deal of interests. The essential ingredient characterizing the electronic properties is the bilayer NiO$_2$ planes, in which the two layers couple with each other from the bonding of Ni-$3d_{z^2}$ orbital through the intermediate oxygen-atoms. In the strong coupling limit, an intralayer antiferromagnetic spin-exchange interaction $J_{\parallel}$ between $3d_{x^2-y...
February 8, 2024
The recent discovery of bulk superconductivity in trilayer nickelate La$_4$Ni$_3$O$_{10}$ with the critical temperature $T_c$ near $30$K under high pressure is attracting a new wave of research interest, after the breakthrough of bilayer La$_3$Ni$_2$O$_7$ with $T_c$ near $80$K. The similarities and differences of electronic structure and superconducting mechanism in these two systems are urgent theoretical issues. In this Letter, we study the electronic band structure and con...
February 4, 2024
Recently, signatures of superconductivity with critical temperature from 20 to 30 K have been reported in pressured trilayer nickelate La$_4$Ni$_3$O$_{10}$ through a pressure-induced structure transition. Here we explore the evolution of electronic structures and electronic correlations in different phases of La$_4$Ni$_3$O$_{10}$ under corresponding pressure regions, by using density functional theory (DFT) combined with dynamical mean-field theory (DMFT). Similar to bilayer ...
November 13, 2023
The pursuit of discovering new high-temperature superconductors that diverge from the copper-based paradigm carries profound implications for elucidating mechanisms behind superconductivity and may also enable new applications. Here, our investigation reveals that application of pressure effectively suppresses the spin and charge order in trilayer nickelate La$_4$Ni$_3$O$_{10}$ single crystals, leading to the emergence of superconductivity with a maximum critical temperature ...
February 11, 2024
Recently, the discovery of superconductivity in Ruddlesden-Popper (RP) $\mathrm{La_4Ni_3O_{10}}$ under pressure has further expanded the realm of nickelate-based superconductor family. In this paper, we performed a first-principle study of $\mathrm{La_4Ni_3O_{10}}$ for both $P2_1/a$ phase at ambient pressure and $I4/mmm$ phase at high pressure, with $U$=0, 3.5 eV. Our results confirmed the characteristic upward shift of Ni-$d_{z^2}$ bonding band under pressure. Moreover, our ...
August 31, 2023
The recently discovered high-T$_C$ superconductor La$_3$Ni$_2$O$_7$ has sparked renewed interest in the unconventional superconductivity. Here we study superconductivity in pressurized La$_3$Ni$_2$O$_7$ based on a bilayer two-orbital $t-J$ model, using the renormalized mean-field theory. Our results reveal a robust $s^\pm-$wave pairing driven by the inter-layer $d_{z^2}$ magnetic coupling, which exhibits a transition temperature within the same order of magnitude as the exper...
May 7, 2024
Motivated by the opposite trend of maximum $T_c$ in multilayer nickelate and cuprate superconductors, we propose an interlayer pairing scenario for the superconductivity of the trilayer nickelate La$_4$Ni$_3$O$_{10}$ discovered recently under high pressure. Our theory reveals intrinsic frustration of the spin-singlet pairing formed between two outer layers and the same inner layer, which causes strong superconducting fluctuations between layers and thus explains the reduction...
February 12, 2024
Recently, evidence of superconductivity (SC) has been reported in pressurized La$_4$Ni$_3$O$_{10}$. Here we study the possible pairing mechanism and pairing symmetry in this material. Through fitting the density-functional-theory band structure, we provide a six-orbital tight-binding model. In comparison with the band structure of La$_3$Ni$_2$O$_7$, the additional non-bonding $d_{z^2}$ band is importance to the pairing mechanism here. When the multi-orbital Hubbard interactio...