Pauli metallic ground state in Hubbard clusters with Rashba spin-orbit coupling

Brosco, Valentina; Guerci, Daniele; Capone, Massimo

doi:10.1103/physrevb.97.125103

Cited by 9 publications

(6 citation statements)

References 52 publications

(62 reference statements)

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“…We need two further properties: the charge-current density ij between distinct sites i and j (where, in the prefactor, i ≡ √−1) and the spin-current density μ ij (μ = x , y , z ) …”

Section: Theorymentioning

confidence: 99%

Hubbard Trimer with Spin–Orbit Coupling: Hartree–Fock Solutions, (Non)Collinearity, and Anisotropic Spin Hamiltonian

2019

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We present unrestricted and generalized Hartree−Fock solutions (UHF and GHF, respectively) for the single-band Hubbard model of an equilateral triangle. Spin−orbit coupling (SOC) is treated self-consistently, and HF stability and properties of different spin structures are studied in detail. The GHF solution switches from noncollinear to collinear when crossing a highsymmetry point in parameter space (spanned by the amplitudes of spinconserving and spin-dependent hopping, i.e., kinetic energy and SOC, respectively). The collinear GHF solution represents a simple example to disprove the notion that a collinear vector spin density in a Slater determinant necessarily entails a defined spin projection. Spin Hamiltonian parameters for the anisotropic interaction between three spin-1/2 centers are extracted from HF energies and subsequently compared to exact results from effective Hamiltonian theory. This provides an unambiguous benchmark for interpreting brokensymmetry mean-field solutions in terms of spin configurations and puts this semiclassical approach (frequently applied in brokensymmetry density functional theory) on a firmer basis.

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“…We need two further properties: the charge-current density ij between distinct sites i and j (where, in the prefactor, i ≡ √−1) and the spin-current density μ ij (μ = x , y , z ) …”

Section: Theorymentioning

confidence: 99%

Hubbard Trimer with Spin–Orbit Coupling: Hartree–Fock Solutions, (Non)Collinearity, and Anisotropic Spin Hamiltonian

2019

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“…In summary, the results shown here demonstrate the effect of local lattice fluctuations and consequent local symmetry breaking in driving a universal and intrinsic spin-orbit coupling in hole-doped Bi-based cuprates. Recent theoretical works have proposed that SOC could play an important role in cuprate physics, by stabilizing, for example, the onset of a metallic phase out of an antiferromagnetic insulating background, as recently shown in the case of a Hubbard plaquette [36], or by enhancing the formation of a charge density wave (CDW) and pseudogap phase [37], ferromagnetic ordering [38,39], and even superconductivity [40], in effect turning on different components for the symmetry of the order parameter [11]. In the underdoped regime, d-density wave [41] and loop-current order [42] models used to describe the pseudogap phase, both rely on a non-zero SOC that couples the orbital current with the spin channel.…”

mentioning

confidence: 93%

Driving Spin Texture in High-Temperature Cuprate Superconductors via Local Structural Fluctuations

Currier

Lin

Gotlieb

et al. 2022

Preprint

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Spin-orbit coupling emerging out of a material's global inversion symmetry breaking has been long known to act as a pair breaking mechanism to the superconducting order parameter. However, when spin-orbit coupling emerges from local inversion symmetry breaking, an unexpected coexistence with superconductivity might occur. Although lattice driven local symmetry breaking is intrinsic to a variety of unconventional superconductors, little is known about its close connection to spin-orbit coupling, and how the combination of the two can impact electronic properties and the microscopic classification of the order parameter. By using high-resolution spin- and angle-resolved photoemission spectroscopy we reveal the presence of a universal momentum-dependent spin texture throughout the hole-doped side of the cuprate phase diagram for the Bi-based family, which becomes negligible on the electron-doped side. We attribute this spin asymmetry to local inversion symmetry breaking induced by local distortions of the CuO octahedra, revealing an interplay between spin-orbit coupling and lattice symmetry. The implication of this connection in steering the ground state properties of cuprate superconductors is discussed, together with the intriguing possibility that it might provide the long missing link to explain the complexity and asymmetry of the cuprate phase diagram.

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“…In Ref. [25] we showed that in small Hubbard clusters the presence of RSOC contrasts the localization effect of the interaction and favors a metallic ground-state through a mixing between singlet and triplet components which enables a new screening mechanism of local interactions. We called this new metallic state Pauli metal.…”

mentioning

confidence: 99%

“…In this work we choose a four-site plaquette which, as stressed in Ref. [25], is the minimal cluster where the non-abelian gauge structure of Rashba coupling can emerge. With this choice, our study encompasses the Pauli screening mechanism discussed in Ref.…”

mentioning

confidence: 99%

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Rashba-metal to Mott-insulator transition

Brosco,

Capone

2018

Preprint

Self Cite

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The recent discovery of materials featuring strong Rashba spin-orbit coupling (RSOC) and strong electronic correlation raises questions about the interplay of Mott and Rashba physics. In this work, we employ cluster perturbation theory to investigate the spectral properties of the two-dimensional Hubbard model in the presence of a significant or large RSOC. We show that RSOC strongly favors metallic phases and competes with Mott localization, leading to an unconventional scenario for the Mott transition which is no longer controlled by the ratio between the Hubbard U and an effective bandwidth. The results show a strong sensitivity to the value of the RSOC.

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Pauli metallic ground state in Hubbard clusters with Rashba spin-orbit coupling

Cited by 9 publications

References 52 publications

Hubbard Trimer with Spin–Orbit Coupling: Hartree–Fock Solutions, (Non)Collinearity, and Anisotropic Spin Hamiltonian

Hubbard Trimer with Spin–Orbit Coupling: Hartree–Fock Solutions, (Non)Collinearity, and Anisotropic Spin Hamiltonian

Driving Spin Texture in High-Temperature Cuprate Superconductors via Local Structural Fluctuations

Rashba-metal to Mott-insulator transition

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