Two-Hole Ground State: Dichotomy in Pairing Symmetry

Zhao, Jing-Yu; Chen, Shuai A.; Zhang, Hao-Kai; Weng, Zheng-Yu

doi:10.48550/arxiv.2106.14898

Cited by 3 publications

(7 citation statements)

References 63 publications

(128 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ref. [27]), which is also consistent with the ED and DMRG result [8]. According to the above discussion, in the absence of the chiral spin current, a weak SOC usually should not be able to induce a spin texture in a pairing state of holes in contrast to a single-hole case.…”

Section: Discussion: Finite Dopingsupporting

confidence: 84%

See 1 more Smart Citation

Spin texture in doped Mott insulators with spin-orbit coupling

2022

View full text Add to dashboard Cite

A hole injected into a Mott insulator will gain an internal structure as recently identified by exact numerics, which is characterized by a nontrivial quantum number whose nature is of central importance in understanding the Mott physics. In this work, we show that a spin texture associated with such an internal degree of freedom can explicitly manifest after the spin degeneracy is lifted by a weak Rashba spin-orbit coupling (SOC). It is described by an emergent angular momentum J z = ± 3 2 as shown by both exact diagonalization and variational Monte Carlo calculations, which are in good agreement with each other at a finite size. In particular, as the internal structure such a spin texture is generally present in the hole composite even at high excited energies, such that a corresponding texture in momentum space, extending deep inside the Brillouin zone, can be directly probed by the spin-polarized angle-resolved photoemission spectroscopy (ARPES). This is in contrast to a Landau quasiparticle under the SOC, in which the spin texture induced by SOC will not be protected once the excited energy is larger than the weak SOC coupling strength, away from the Fermi energy. We point out that the spin texture due to the SOC should be monotonically enhanced with reducing spin-spin correlation length in the superconducting-pseudogap phase at finite doping. A brief discussion of a recent experiment of the spinpolarized ARPES will be made.

show abstract

Section: Discussion: Finite Dopingsupporting

confidence: 84%

“…Recently, the VMC approach has been further generalized to the two-hole states in the absence of SOC [26,27]. By forming a tightly bound pair, the chiral spin current gets canceled and the ground state becomes nondegenerate with angular momentum L z = 2 and a d-wave pairing symmetry (cf.…”

Section: Discussion: Finite Dopingmentioning

confidence: 99%

Spin texture in doped Mott insulators with spin-orbit coupling

2022

View full text Add to dashboard Cite

show abstract

“…We point out that the single-hole ground state ansatz [Eq. (7)] can be actually regarded as the few hole special cases [11,12,25,26] of a general ground state ansatz previously proposed to describe the SC and pseudogap phase at finite doping [22,23]:…”

Section: Discussion: Finite Dopingmentioning

confidence: 99%

“…As the precursor of a non-Fermi liquid, it has been found recently [12,26] that a hole injected into a quantum AF spin background will behave like a non-Landau quasiparticle. It is a hole composite in which the neighboring spin background will get "twisted" by the phase string sign structure to facilitate the hopping of the hole.…”

Section: Discussionmentioning

confidence: 99%

Spin Texture in Doped Mott Insulators with Spin-Orbit Coupling

Chen,

Weng,

Zaanen

2021

Preprint

Self Cite

View full text Add to dashboard Cite

A hole injected into a Mott insulator will gain an internal structure as recently identified by exact numerics, which is characterized by a nontrivial quantum number whose nature is of central importance in understanding the Mott physics. In this work, we show that a spin texture associated with such an internal degree of freedom can explicitly manifest after the spin degeneracy is lifted by a weak Rashba spin-orbit coupling (SOC). It is described by an emergent angular momentum Jz = ±3/2 as shown by both exact diagonalization (ED) and variational Monte Carlo (VMC) calculations, which are in good agreement with each other at a finite size. In particular, as the internal structure such a spin texture is generally present in the hole composite even at high excited energies, such that a corresponding texture in momentum space, extending deep inside the Brillouin zone, can be directly probed by the spin-polarized angle-resolved photoemission spectroscopy (ARPES). This is in contrast to a Landau quasiparticle under the SOC, in which the spin texture induced by SOC will not be protected once the excited energy is larger than the weak SOC coupling strength, away from the Fermi energy. We point out that the spin texture due to the SOC should be monotonically enhanced with reducing spin-spin correlation length in the superconducting/pseudogap phase at finite doping. A brief discussion of a recent experiment of the spin-polarized ARPES will be made. CONTENTSA. Sign structures in the t-J and σ•t-J models 10 B. One-hole wave function ansatz and emergent symmetry in the t-J model 10 C. Rashba interaction 11 1. Total angular momentum J z 11 2. ED under periodic boundary condition 12 D. Variational Monte Carlo procedure 13 1. Variational ground state at half-filling 13 2. Variational wave functions for the t-J-R model 13 E. Spin-polarized spectral function 14 F. Fragility of spin texture in a Fermi Liquid 14 References 15

show abstract

“…This theory distinguishingly takes the Anderson-disorder approach and in particular, impurity scattering treatment to discuss the disorder effects on macroscopic phase coherence and microscopic electronic fluids, respectively. The Anderson-disorder approach that calculates the converged quantities by averaging over numerous random impurity configuration is applied in order to characterize the quantum disorder/fluctuation effects from the impurity as well as possible couplings to charge-density wave 6,[108][109][110][111] , spin-density wave 6,[112][113][114][115] , electronic nematicity 6,23,116,117 and/or theoretically proposed spinon-vortices excitation [118][119][120] . Whereas the microscopic scattering, as the essential transport property for studying the superconductivity (zero-resistance) phenomenon, is still absent in the literature, since it is hard to handle in path-integral approach and conventional Kubo diagrammatic formalism.…”

Section: Discussionmentioning

confidence: 99%

A theory of coupled dual dynamics of macroscopic phase coherence and microscopic electronic fluids: effect of dephasing on cuprate superconductivity

Yang,

2021

Preprint

View full text Add to dashboard Cite

By using the gauge-invariant kinetic equation approach [Yang and Wu, Phys. Rev. B 98, 094507 (2018); 100, 104513 (2019)], we construct the coupled dual dynamics of macroscopic phase coherence and microscopic electronic fluids in cuprate superconductors. We prove that the developed dual dynamics provides an efficient and simplified approach to formulate the dephasing process of macroscopic superconducting phase coherence, as well as its influence on microscopic electronic fluids (including gap, densities of superfluid and normal fluid, and in particular, the transport property to determine superconducting transition temperature Tc). We then present theoretical description of the preformed Cooper pairs in pseudogap state. The key origin of pseudogap state comes from the quantum effect of disorder, which excites the macroscopic inhomogeneous phase fluctuation through Josephson effect. Influenced by this phase fluctuation, there exist normal fluid and viscous superfluid below Tc in cuprate superconductors, in addition to conventional non-viscous superfluid. The normal fluid always emerges around nodal points even at zero temperature, whereas the viscous superfluid emerges due to the friction between superfluid and normal fluid. Particularly, the non-viscous superfluid gets suppressed when the phase fluctuation is enhanced by increasing temperature, until vanishes at Tc. Then, the system enters the pseudogap state, showing the nonzero resistivity as well as the finite gap from the viscous superfluid. By further increasing temperature to T os , the viscous superfluid and hence gap vanish. An experimental scheme to distinguish the densities of normal fluid as well as viscous and non-viscous superfluids is proposed. Finally, this theory is also applied to low-dimensional disordered s-wave superconductors.

show abstract

Two-Hole Ground State: Dichotomy in Pairing Symmetry

Cited by 3 publications

References 63 publications

Spin texture in doped Mott insulators with spin-orbit coupling

Spin texture in doped Mott insulators with spin-orbit coupling

Spin Texture in Doped Mott Insulators with Spin-Orbit Coupling

A theory of coupled dual dynamics of macroscopic phase coherence and microscopic electronic fluids: effect of dephasing on cuprate superconductivity

Contact Info

Product

Resources

About