Instability and topological robustness of Weyl semimetals against Coulomb interaction

Xue, Fei; Zhang, Xiaoxiao

doi:10.1103/physrevb.96.195160

Cited by 15 publications

(8 citation statements)

References 82 publications

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“…In order to go beyond the mean field treatment, we add repulsive Coulomb interactions to the MBBH model with the aim of gaining insight on how the interactions affect the stability of the topological phases, which is still an open problem despite intense investigations [23,[35][36][37].…”

Section: Strip Of Four Interacting Chainsmentioning

confidence: 99%

Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model

2022

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We study the effects of Coulomb repulsive interactions on a Majorana Benalcazar–Bernevig–Huges (MBBH) model. The MBBH model belongs to the class of second-order topological superconductors (HOTSC2), featuring robust Majorana corner modes. We consider an interacting strip of four chains of length L and perform a density matrix renormalization group (DMRG) numerical simulation based on a tensor-network approach. Study of the non-local fermionic correlations and the degenerate entanglement spectrum indicates that the topological phases are robust in the presence of interactions, even in the strongly interacting regime.

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Section: Strip Of Four Interacting Chainsmentioning

confidence: 99%

Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model

2022

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“…In order to go beyond the mean field treatment, we add repulsive Coulomb interactions to the MBBH model with the aim of gaining insight on how the interactions affect the stability of the topological phases, still an open problem despite intense investigations [21,[33][34][35].…”

Section: Strip Of Four Interacting Chainsmentioning

confidence: 99%

Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model

Maiellaro,

Illuminati,

Citro

2022

Preprint

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We study the effects of Coulomb repulsive interactions on a Majorana Benalcazar-Bernevig-Huges (MBBH) model. The MBBH model belongs to the class of second-order topological superconductors (HOT SC2), featuring robust Majorana corner modes. We consider an interacting strip of four chains of length L and perform a Density Matrix Renormalization Group (DMRG) numerical simulation based on a tensor-network approach. Study of the non-local fermionic correlations and of the degenerate entanglement spectrum indicates that the topological phases are robust in the presence of interactions, even in the strongly interacting regime.

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“…However, it remains comparatively less explored in the field of correlated topological WSMs concerning experiments and theories. From the theoretical side, renormalization group (RG) method [42][43][44][45][46][47] has been employed to study low-energy effective Hamiltonian for an isolated Weyl node, as well as the Hartree-Fock (HF) mean-field approximation [48]. In contrast, fewer numerical methods were employed in correlated WSM lattice Hamiltonian, although this could reveal additional, important effects.…”

Section: Introductionmentioning

confidence: 99%

Spin susceptibilities in magnetic type-I and type-II Weyl semimetals

Xiong,

Han,

Honerkamp

2021

Preprint

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We investigate interacting spin susceptibilities in lattice models for T -reversal symmetry-broken Weyl semimetals. We employ a random phase approximation (RPA) method for the spin-SU(2)symmetry-broken case that includes mixtures of ladder and bubble diagrams, beyond a SU(2)symmetric case. Within this approach, the relations between the tendency towards magnetic order and the band structure tilt parameter γ under different temperatures are explored. The critical interaction strength Uc for magnetic ordering decreases as the tilt term changes from type-I Weyl semimetals to type-II. The lower temperature, the sharper is the drop in Uc at the critical point between them. The variation of Uc with a slight doping near half-filling is also studied. It is generally found that these Weyl systems show a strongly anisotropic spin response with an enhanced doubly degenerate transverse susceptibility perpendicular to tilt direction, inherited from C4z rational symmetry of bare Hamiltonian, but with the longitudinal response suppressed with respect to that. For small tilts γ and strong enough interaction, we find two degenerate ordering patterns with spin order orthogonal to the tilt direction but much shorter spin correlation length parallel to the spin direction. With increasing the tilt, the system develops instabilities with respect to in-plane magnetic orders with wavevector (0, π, qz) and (π, 0, qz), with qz increasing from 0 to π before the transition to a type-II Weyl semimetal is reached. These results indicate a greater richness of magnetic phases in correlated Weyl semimetals that also pose challenges for precise theoretical descriptions.

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Instability and topological robustness of Weyl semimetals against Coulomb interaction

Cited by 15 publications

References 82 publications

Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model

Topological Phases of an Interacting Majorana Benalcazar–Bernevig–Hughes Model

Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model

Spin susceptibilities in magnetic type-I and type-II Weyl semimetals

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