Second-order topological superconductor via noncollinear magnetic texture

Arijit Saha; Arnob Kumar Ghosh; Ashis K. Nandy; Pritam Chatterjee

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Second-order topological superconductor via noncollinear magnetic texture

Pritam Chatterjee, Arnob Kumar Ghosh, Ashis K. Nandy, Arijit Saha

Mesoscale and Nanoscale Physics · Submitted 24 Aug 2023

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our extensive study paves the way for practically attaining the SOTSC phase by integrating noncollinear magnetic textures.

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arXiv ID2308.12703 (version 2)

Pith IDMATUTFLI, Pith's permanent record of this paper and its review

CitationArijit Saha, Arnob Kumar Ghosh, Ashis K. Nandy, Pritam Chatterjee. "Second-order topological superconductor via noncollinear magnetic texture." arXiv:2308.12703 (2023). https://pith.science/paper/MATUTFLI

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,380 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.26 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We put forth a theoretical framework for engineering a two-dimensional (2D) second-order topological superconductor (SOTSC) by utilizing a heterostructure: incorporating noncollinear magnetic textures between an $s$-wave superconductor and a 2D quantum spin Hall insulator. It stabilizes the higher order topological superconducting phase, resulting in Majorana corner modes (MCMs) at four corners of a 2D domain. The calculated non-zero quadrupole moment characterizes the bulk topology. Subsequently, through a unitary transformation, an effective low-energy Hamiltonian reveals the effects of magnetic textures, resulting in an effective in-plane Zeeman field and spin-orbit coupling. This approach provides a qualitative depiction of the topological phase, substantiated by numerical validation within exact real-space model. Analytically calculated effective pairings in the bulk illuminate the microscopic behavior of the SOTSC. The comprehension of MCM emergence is supported by a low-energy edge theory, which is attributed to the interplay between effective pairings of $(p_x + p_y)$-type and $(p_x + i p_y)$-type. Our extensive study paves the way for practically attaining the SOTSC phase by integrating noncollinear magnetic textures.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We put forth a theoretical framework for engineering a two-dimensional (2D) second-order topological superconductor (SOTSC) by utilizing a heterostructure: incorporating noncollinear magnetic textures between an $s$-wave superconductor and a 2D quantum spin Hall insulator.	contribution 0.94	0.84	0.24	asserted 0.65
s1	It stabilizes the higher order topological superconducting phase, resulting in Majorana corner modes (MCMs) at four corners of a 2D domain.	result 0.99	0.72	0.50	asserted 1.00
s2	The calculated non-zero quadrupole moment characterizes the bulk topology.	result 0.93	0.86	0.09	asserted 1.00
s3	Subsequently, through a unitary transformation, an effective low-energy Hamiltonian reveals the effects of magnetic textures, resulting in an effective in-plane Zeeman field and spin-orbit coupling.	method 0.93	0.89	0.05	asserted 1.00
s4	This approach provides a qualitative depiction of the topological phase, substantiated by numerical validation within exact real-space model.	method 0.44	0.88	0.11	asserted 0.86
s5	Analytically calculated effective pairings in the bulk illuminate the microscopic behavior of the SOTSC.	result 0.38	0.91	0.07	asserted 1.00
s6	The comprehension of MCM emergence is supported by a low-energy edge theory, which is attributed to the interplay between effective pairings of $(p_x + p_y)$-type and $(p_x + i p_y)$-type.	interpretation 0.93	0.84	0.09	asserted 0.98
s7	Our extensive study paves the way for practically attaining the SOTSC phase by integrating noncollinear magnetic textures.	future work 0.56	0.63	0.62	hedged possibility 0.73

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.71.

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arXiv listing abstract v2

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full text
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We put forth a theoretical framework for engineering a two-dimensional (2D) second-order topological superconductor (SOTSC) by utilizing a heterostructure: incorporating noncollinear magnetic textures between an $s$-wave superconductor and a 2D quantum spin Hall insulator. It stabilizes the higher order topological superconducting phase, resulting in Majorana corner modes (MCMs) at four corners of a 2D domain. The calculated non-zero quadrupole moment characterizes the bulk topology. Subsequently, through a unitary transformation, an effective low-energy Hamiltonian reveals the effects of magnetic textures, resulting in an effective in-plane Zeeman field and spin-orbit coupling. This approach provides a qualitative depiction of the topological phase, substantiated by numerical validation within exact real-space model. Analytically calculated effective pairings in the bulk illuminate the microscopic behavior of the SOTSC. The comprehension of MCM emergence is supported by a low-energy edge theory, which is attributed to the interplay between effective pairings of $(p_x + p_y)$-type and $(p_x + i p_y)$-type. Our extensive study paves the way for practically attaining the SOTSC phase by integrating noncollinear magnetic textures.

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1 arXiv paper cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 2 sentences without a confident label

Uses its method or tool 1 paper

To examine the nature of bulk effective pairing we perform a unitary transformation, [ref] in order to obtain a dual Hamiltonian of Eq. [ref], $ℋ̃_D = Ũ^†ℋ_effŨ$ as,

Multiple Topological Phase Transitions Unveiling Gapless Topological Superconductivity in Magnet/Unconventional Superconductor Hybrid Platform · Introduction · 0.99

What it cites · 7 sentences without a confident label

Uses the method or tool of 1 paper

We introduce a unitary transformation as $U$=$τ_0 σ_0 e^-i/2ϕ(r)s_z$, such that $H_eff=U^†H_L U$ [ref] .

Topological Superconductivity by Engineering Noncollinear Magnetism in Magnet/ Superconductor Heterostructures: A Realistic Prescription for 2D Kitaev Model · Introduction · 0.89

Cites as background 1 paper

In the context of 2D first-order TSC, it is well-known that $(p_x+ip_y)$-type pairing induces dispersive Majorana edge modes [ref] , while $(p_x+p_y)$-type pairing is responsible for the emergence of flat Majorana edge modes [ref] .

Topological Superconductivity by Engineering Noncollinear Magnetism in Magnet/ Superconductor Heterostructures: A Realistic Prescription for 2D Kitaev Model · Introduction · 0.95

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