Effect of local Coulomb interaction on Majorana corner modes: Weak and strong correlation limits

Aksenov, S. V.; Fedoseev, A. D.; Шустин, М. С.; Zlotnikov, A. O.

doi:10.1103/physrevb.107.125401

Cited by 5 publications

(8 citation statements)

References 61 publications

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“…As it was mentioned earlier in [35] the second term in (3) vanishes in the investigated system, and the last terms vanish in the case of absence of the on-site superconducting coupling. So, the only effect of the weak on-site Coulomb interaction to the system is due to the first term, which is spatially inhomogeneous in the case of open boundary geometry and generates essential size-dependent effect.…”

Section: D Hotsc With On-site Coulomb Interaction On the Square Latticesupporting

confidence: 71%

“…The specific boundary geometry can result fewer number of topological corner excitations [31][32][33] through their fusion or even more [34] then usual. In turn, as we have shown earlier [35], the topological corner excitations lead to the appearance of the spontaneous symmetry breaking in the presence of the weak Coulomb interaction in the higher-order superconductors with open boundary. This paper is a natural extension of the investigation carried out in order to reveal the role of the boundary geometry in the effect of weak Coulomb interaction on the properties of the topological superconductors.…”

Section: Introductionsupporting

confidence: 63%

“…As it was shown recently using the Dirac mass of the edge states criterion [35], an account of even moderate values of the on-site Coulomb interaction in the uniform case effects the topological phase diagram of the system weakly. In the case of open boundary geometry, the correlators become nonuniform.…”

Section: The Spontaneous Symmetry Breaking In the Open Boundary Geometrymentioning

confidence: 80%

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Modification of topological corner excitations at the interplay of boundary geometry and Coulomb interaction

Fedoseev

2023

J. Phys.: Condens. Matter

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The eﬀect of Coulomb interaction on the 2D second order topological superconductor is investigated taking into account diﬀerent geometries of the boundary in the mainframe of the mean-ﬁeld approximation. The spontaneous symmetry breaking, described earlier in [1], is found to be robust against the boundary deformation. Meanwhile, the details of the state with spontaneously broken symmetry is found to be dependent on the speciﬁc boundary geometry. Considering diﬀerent types of the boundary of the 2D system, it is demonstrated that the deviation of the electron density in the broken symmetry state is determined by the position of the zero-dimensional (second-order) excitations with nearly zero energy. The critical value of the Coulomb interaction, at which the transition occurs, is found to be determined by the energy of these excitations, which is non-zero due to overlapping of the wave-functions at diﬀerent corners.

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Section: D Hotsc With On-site Coulomb Interaction On the Square Latticesupporting

confidence: 71%

Section: Introductionsupporting

confidence: 63%

Section: The Spontaneous Symmetry Breaking In the Open Boundary Geometrymentioning

confidence: 80%

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Modification of topological corner excitations at the interplay of boundary geometry and Coulomb interaction

Fedoseev

2023

J. Phys.: Condens. Matter

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“…Как было показано в работе [15], в пределe U → ∞ при использовании атомного представления гамильтониан данной системы сводится к описанию нижних хаббардовских подзон для каждой орбитали и записывается в виде Операторы Хаббарда определяются в стандартном виде:…”

Section: гамильтониан тсвп в режиме сильных электронных корреляцийunclassified

“…Иными словами, реальная система с границами должна описываться с учетом соответствующих поправок, которые, однако, не приводят к изменению принципиальных выводов о существовании и области реализации топологически защищенных состояний. Такой подход ранее применялся, например, в работах [15,28].…”

Section: континуальное описаниеunclassified

О Дираковской Массе Хаббардовских Фермионов В Сильно Коррелированном Топологическом Сверхпроводнике Высокого Порядка

Аксенов¹,

Fedoseev²,

Шустин³

et al. 2023

Физика Твердого Тела

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Majorana corner modes have a number of advantages over the classical Majorana states in terms of performing topologically protected quantum computations. However, the problem of the influence of Coulomb repulsion on higher-order phases, which inevitably arises when trying to implement such systems in practice, has been poorly studied. In this article, we analyze the features of a topological invariant describing the nontrivial phase with the corner modes for a two-dimensional two-orbital model of a hybrid structure in the regime of extremely strong electron correlations. For this purpose, approximate wave functions of the edge states with a linear dispersion law and the associated Dirac masses, which arise when superconducting pairing in the system is taken into account, are obtained.

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Boundary-obstructed topological superconductor in buckled honeycomb lattice under perpendicular electric field

2023

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Effect of local Coulomb interaction on Majorana corner modes: Weak and strong correlation limits

Cited by 5 publications

References 61 publications

Modification of topological corner excitations at the interplay of boundary geometry and Coulomb interaction

Modification of topological corner excitations at the interplay of boundary geometry and Coulomb interaction

О Дираковской Массе Хаббардовских Фермионов В Сильно Коррелированном Топологическом Сверхпроводнике Высокого Порядка

Boundary-obstructed topological superconductor in buckled honeycomb lattice under perpendicular electric field

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