Science AI Journal
Physics and Astronomy · Research topic

Open research questions in Topological Materials and Phenomena

249 gap statements mined from Topological Materials and Phenomena papers in our 4.5M-paper local library, which holds 2,123 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.

Choosing where to publish on Topological Materials and Phenomena? See the ranked Physics journals.

What the literature leaves open

  • The lack of suitable magnetic candidates for three-dimensional second-order topological phases. The need for a platform for topological spintronic applications.

    Orthorhombic SrVSi2O7 as a potential magnetic second-order topological insulator with spin-polarized hinge states · 2026 · DOI

  • Future research could focus on the experimental realization of the stripe phase in altermagnets. The study of the properties of the stripe phase in different materials could lead to a better understanding of the underlying physics.

    Instability Toward Superconducting Stripe Phase in Altermagnets with Strong Rashba Spin-Orbit Coupling · 2026 · DOI

  • Two-dimensional (2D) topological insulator, or quantum spin Hall (QSH) insulator, holds topologically protected edge states with significant implications for diverse fields, yet the robustness against realistic structural defects remains elusive.

    Quantum spin Hall insulator under ion irradiation: Assessing the robustness of topological insulating states against realistic structural defects · 2026 · DOI

  • Future research can build on the paper's framework to study unconventional phases. Future research can explore the implications of the paper's results for the design of new materials.

    Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies · 2026 · DOI

  • The paper addresses the need for a unified framework for understanding modulated symmetries across dimensions.

    Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies · 2026 · DOI

  • The interpretation of the fits is kept to a minimum due to the complexity of the pressure evolution. Further experiments are needed to quantify the contributions of bulk and surface conductivity components.

    Quantum Oscillations and Superconductivity in YPtBi Under Pressure · 2026 · DOI

  • Future research can use the derived effective action to study the proximity effect in different materials. The understanding of phase fluctuations can inform the development of topological superconductors.

    Superconducting proximity effect in an SSH-superconductor junction · 2026 · DOI

  • Prior studies have not considered the microscopic interaction between these systems.

    Superconducting proximity effect in an SSH-superconductor junction · 2026 · DOI

  • Exploiting the freedom to protect the interaction between at least two topological states has remained an open experimental challenge. Conventional photonic waveguides struggle to meet the conditions for efficient on-chip SHG.

    Doubly topological harmonic generation · 2026

  • The 5f members of the 166 compounds are underrepresented compared to 4f members. There is a lack of understanding of the properties of 5f members of the 166 compounds.

    Structural modulation, physical properties, and electronic band structure of the kagome metal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>UCr</mml:mi> <mml:mn>6</mml:mn> </mml:msub> <mml:msub> <mml:mi>Ge</mml:mi> <mml:mn>6</mml:mn> </mml:msub> </mml:mrow> </mml:math> · 2026 · DOI

  • The devices are fabricated on an ultrashallow high-quality undoped GaAs/Al0.6Ga0.4As heterostructure, which may have limitations in terms of scalability and flexibility. The mean free path of electrons in the unpatterned wafer is 3 μm, which may be limited by the quality of the heterostructure.

    Correlated insulator in the kagome flat band of a two-dimensional electrostatic crystal · 2026 · DOI

  • One challenge is the lack of systematic experimental exploration of higher-order NLHE effects. Another challenge is understanding the underlying mechanisms of the observed NLHE.

    Higher odd-order nonlinear Hall effect in magnetic topological insulator Mn(Bi1-xSbx)2Te4 · 2026 · DOI

  • The study focuses on a specific material, Mn(Bi1-xSbx)2Te4, and its properties. The measurements are limited to a temperature range down to 1.6 K and a magnetic field up to 12 T.

    Higher odd-order nonlinear Hall effect in magnetic topological insulator Mn(Bi1-xSbx)2Te4 · 2026 · DOI

  • Experimental transport probes of quantum-critical Dirac regimes are limited. The paper addresses this gap by investigating the weak antilocalization in a pressurized Dirac semimetal.

    Anomalous Phase-Coherence Scaling in a Quantum-Critical Dirac Semimetal · 2026 · DOI

  • The lack of understanding of the higher-order topological insulator properties of monolayer d1T-phase MoS2. The need for a material candidate for ferroelectricity tunable orbital Hall effect.

    Ferroelectric polarization controlled orbital Hall conductivity in a higher-order topological insulator: \textit{d1T}-phase monolayer MoS$_2$ · 2026

  • Future research can focus on experimental verification of the predicted superconducting properties. Theoretical studies can explore the superconducting properties of other similar compounds.

    Strong-coupling anisotropic superconductivity in hexagonal HfRuAs from anisotropic Migdal-Eliashberg theory · 2026

  • Realizing both the anomalous valley Hall and quantum anomalous Hall states in one material remains challenging due to their distinct Chern number requirements.

    Strain-driven topological phase transition between anomalous valley Hall and quantum anomalous Hall states in hexagonal ferromagnets · 2026 · DOI

  • The anisotropic Migdal-Eliashberg theory has not been previously applied to HfRuAs.

    Strong-coupling anisotropic superconductivity in hexagonal HfRuAs from anisotropic Migdal-Eliashberg theory · 2026

  • Further exploration of the properties of SrVSi2O7. Investigation of other potential magnetic candidates for three-dimensional second-order topological phases.

    Orthorhombic SrVSi2O7 as a potential magnetic second-order topological insulator with spin-polarized hinge states · 2026 · DOI

  • The paper identifies a gap in the understanding of the properties of altermagnets with strong Rashba spin-orbit coupling. The study aims to fill this gap by exploring the possibility of the superconducting stripe phase in the altermagnet with the RSOC.

    Instability Toward Superconducting Stripe Phase in Altermagnets with Strong Rashba Spin-Orbit Coupling · 2026 · DOI

  • Further study of the properties of UCr6Ge6 and other 5f members of the 166 compounds. Investigation of the potential applications of UCr6Ge6 and other 166 compounds.

    Structural modulation, physical properties, and electronic band structure of the kagome metal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>UCr</mml:mi> <mml:mn>6</mml:mn> </mml:msub> <mml:msub> <mml:mi>Ge</mml:mi> <mml:mn>6</mml:mn> </mml:msub> </mml:mrow> </mml:math> · 2026 · DOI

  • The study of the properties of the correlated insulator in the kagome flat band. The development of new materials with unique properties using artificial crystals. The use of artificial crystals to study other strongly interacting quantum systems.

    Correlated insulator in the kagome flat band of a two-dimensional electrostatic crystal · 2026 · DOI

  • The coupled-wire perspective on moir´e domain wall networks opens several promising directions for future experimental and theoretical investigation.

    Coupled-wire descriptions of unconventional quantum states in twisted nanostructures · 2026 · DOI

  • Further investigation of the properties of the d1T MoS2. Exploration of the potential applications of the ferroelectricity tunable orbital Hall effect.

    Ferroelectric polarization controlled orbital Hall conductivity in a higher-order topological insulator: \textit{d1T}-phase monolayer MoS$_2$ · 2026

  • Further study of the chiral transport and unexplored phenomena in strange metals. Investigation of the potential applications of 2M-WS2 in next-generation quantum devices.

    Quantum geometry induced anomalous chiral transport and hidden symmetry breaking in centrosymmetric 2M-WS2 · 2026

Most-cited papers in Topological Materials and Phenomena

Most recent work

Find a gap in your own Topological Materials and Phenomena sub-topic

This page shows what the Topological Materials and Phenomena literature already flags as unresolved. To narrow it to your specific question, search the Research Gap Finder: the search is free with a free account and lists the papers closest to your topic first. Unlocking that topic (50 credits, charged once) fills the comparison table from our 4.5M-paper local library and writes the gaps from its rows.

Open the Research Gap Finder →

Related topics in Physics and Astronomy

Galaxies: Formation, Evolution, Phenomena
585 open questions
Cosmology and Gravitation Theories
567 open questions
Stellar, planetary, and galactic studies
493 open questions
Model Reduction and Neural Networks
376 open questions
Pulsars and Gravitational Waves Research
311 open questions
Black Holes and Theoretical Physics
310 open questions
Quantum many-body systems
293 open questions
Quantum Mechanics and Applications
292 open questions
Open questions raised by papers listed on this page include: (1) The lack of suitable magnetic candidates for three-dimensional second-order topological phases (“Orthorhombic SrVSi2O7 as a potential magnetic second-order topological…”, 2026); (2) Future research could focus on the experimental realization of the stripe phase in altermagnets (“Instability Toward Superconducting Stripe Phase in Altermagnets with Strong…”, 2026); (3) Future research can build on the paper's framework to study unconventional phases (“Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies”, 2026); (4) Further experiments are needed to quantify the contributions of bulk and surface conductivity components (“Quantum Oscillations and Superconductivity in YPtBi Under Pressure”, 2026); (5) Future research can use the derived effective action to study the proximity effect in different materials (“Superconducting proximity effect in an SSH-superconductor junction”, 2026). 249 gap statements have been mined from Topological Materials and Phenomena papers in our 4.5M-paper local library, which holds 2,123 papers on the topic; the gaps come from whichever of those papers state one. They are mostly the research gaps the authors state and the papers' abstracts, plus future-work, limitations and challenges passages. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one, so you can read the original claim in context.

Tools for your next paper

Gaps & Literature SearchFind open questions in any field — 120,000+ open gaps mined from our own library.Pre-CheckIs your paper ready? Acceptance odds for top, mid and open/emerging journals, in seconds.Journal FinderA ranked shortlist of target journals from a 17,500-venue index.Duplicate Publication CheckerCheck for prior publication across 7 sources and our local library.Citation GeneratorFreeA DOI or title → APA, MLA, Vancouver, Chicago, BibTeX, RIS. No signup.Graphical Abstract MakerFreeTurn your findings into a colorblind-safe graphical abstract.

How Pre-Check worksHow AI Review works

Compare the category — Honest roundups of the AI research tools, ours listed alongside the alternatives.

Command palette

Jump anywhere, run any action.