Chiral superconducting phase and chiral spin-density-wave phase in a Hubbard model on the kagome lattice

Yu, Shun-Li; Li, Jianxin

doi:10.1103/physrevb.85.144402

Cited by 201 publications

(102 citation statements)

References 28 publications

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“…These geometrically frustrated lattices, especially the 2D ones have an excellent potential to host various intriguing exotic phenomena such as quantum spin liquid, topological phases, kinetic ferromagnetism, and chiral superconducting state to list a few. [16,[35][36][37] The fabrication of a 2D geometrically frustrated lattice, however, has proven to be rather challenging. For example, even though several metalorganic hybrid counterparts were synthesized by chemical methods, structural disorder, and strong lattice distortions remained a persistent hindrance.…”

Section: Geometrically Frustrated Latticesmentioning

confidence: 99%

Geometrical lattice engineering of complex oxide heterostructures: a designer approach to emergent quantum states

et al. 2016

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Epitaxial heterostructures composed of complex oxides have fascinated researchers for over a decade as they offer multiple degrees of freedom to unveil emergent many-body phenomena often unattainable in bulk. Recently, apart from stabilizing such artificial structures along the conventional [001]-direction, tuning the growth direction along unconventional crystallographic axes has been highlighted as a promising route to realize novel quantum many-body phases. Here we illustrate this rapidly developing field of geometrical lattice engineering with the emphasis on a few prototypical examples of the recent experimental efforts to design complex oxide heterostructures along the (111) orientation for quantum phase discovery and potential applications.

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Section: Geometrically Frustrated Latticesmentioning

confidence: 99%

Geometrical lattice engineering of complex oxide heterostructures: a designer approach to emergent quantum states

et al. 2016

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“…In detail, for d + id we find two degenerate SC eigenvalues λ 1,2 of d wave symmetry, which then in any mean-field treatment yield the preferential topological d + id chiral superconducting state in order to avoid loss of condensation energy due to nodes which would necessarily cross with the Fermi surface. 15 d + id has also been obtained in variational cluster approximation calculations 23 where, however, only local correlations are kept and no long-wavelength features of the electronic phases can be addressed.…”

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confidence: 99%

Sublattice interference in the kagome Hubbard model

2012

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We study the electronic phases of the kagome Hubbard model (KHM) in the weak-coupling limit around Van Hove filling. Through an analytic renormalization group analysis, we find that there exists a sublattice interference mechanism where the kagome sublattice structure affects the character of the Fermi surface instabilities. It leads to major suppression of T c for d + id superconductivity in the KHM and causes an anomalous increase of T c upon addition of longer-range Hubbard interactions. We conjecture that the suppression of conventional Fermi liquid instabilities makes the KHM a prototype candidate for hosting exotic electronic states of matter at intermediate coupling.

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“…Similarly, a mean-field study of spinless electrons on the triangular lattice has reported spontaneous time-reversal symmetry breaking with M-point modulations [56]. Clearly, a full study of leading instabilities requires including the spin channel [53,55,[57][58][59][60][61][62][63]. This study provides a stepping stone for a classification of M-point spin-triplet orders.…”

Section: Discussionmentioning

confidence: 99%

Symmetry analysis of translational symmetry broken density waves: Application to hexagonal lattices in two dimensions

Venderbos

2016

Phys. Rev. B

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In this work we introduce a symmetry classification for electronic density waves which break translational symmetry due to commensurate wave-vector modulations. The symmetry classification builds on the concept of extended point groups: symmetry groups which contain, in addition to the lattice point group, translations that do not map the enlarged unit cell of the density wave to itself, and become "nonsymmorphic"-like elements. Multidimensional representations of the extended point group are associated with degenerate wave vectors. Electronic properties such as (nodal) band degeneracies and topological character can be straightforwardly addressed, and often follow directly. To further flesh out the idea of symmetry, the classification is constructed so as to manifestly distinguish time-reversal invariant charge (i.e., site and bond) order, and time-reversal breaking flux order. For the purpose of this work, we particularize to spin-rotation invariant density waves. As a first example of the application of the classification we consider the density waves of a simple single-and two-orbital square lattice model. The main objective, however, is to apply the classification to two-dimensional (2D) hexagonal lattices, specifically the triangular and the honeycomb lattices. The multicomponent density waves corresponding to the commensurate M-point ordering vectors are worked out in detail. To show that our results generally apply to 2D hexagonal lattices, we develop a general low-energy SU(3) theory of (spinless) saddle-point electrons.

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Chiral superconducting phase and chiral spin-density-wave phase in a Hubbard model on the kagome lattice

Cited by 201 publications

References 28 publications

Geometrical lattice engineering of complex oxide heterostructures: a designer approach to emergent quantum states

Geometrical lattice engineering of complex oxide heterostructures: a designer approach to emergent quantum states

Sublattice interference in the kagome Hubbard model

Symmetry analysis of translational symmetry broken density waves: Application to hexagonal lattices in two dimensions

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