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The interplay between magnetism and topology has brought new prospects in condensed matter physics and material science. By virtue of dissipation-free transport, a special band structure, and a greater Berry curvature, linear response in topological materials is greatly enhanced. The topological band structure in conjunction with symmetries plays a pivotal role in designing state-of-the-art materials with strong and exotic electromagnetic responses, providing favourable mechanisms for the upcoming generation of technological applications. The present work is mainly focused on an intuitive understanding of the anomalous transport coefficients and magneto-optical response in magnetic materials, particularly in regular Co-based Heusler compounds in the framework of the first-principles calculations. The ferromagnetic nature is probed through the Heisenberg exchange interactions and the Curie temperature (Tc) is estimated. With the inclusion of spin–orbit coupling in combination with non-collinear magnetization, the protective symmetries are broken consequently inducing non-vanishing valleys and peaks in the Berry curvature. The calculated values of intrinsic anomalous Hall conductivity (AHC) are 462 S/cm, 371 S/cm and 374 S/cm for the Co2HfZ (Z= Sn, Al, and Ga) and corresponding values of anomalous Nernst conductivity (ANC) are 5.6 A/m/K, −2.3 A/m/K, and 3.7 A/m/K respectively. Additionally, the magneto-optical response is also studied and the corresponding polar Kerr rotation angles at normal incidence were found to be 1.2° for Co2HfSn, 1.1° for Co2HfAl and 0.8° for Co2HfGa. Hence, this study may pave the way to scrupulous engineering of the material properties to realize the technologically desirable applications. © 2022 Elsevier B.V.

The magnetic ground state, electronic, and elastic properties of Co2TaX (X = Al, Ga) are investigated using Density functional theory calculations. The compounds are found to possess mechanical and dynamical stability. Both the compounds exhibit nodal line features in the majority spin channel without the inclusion of spin-orbit coupling (SOC) and become gapped lines when SOC is added. The anomalous Hall effect and anomalous Nernst effect caused by Berry curvature are investigated. Within the region of +/- 300meV around Fermi level, the maximum values of anomalous Hall conductivities (AHC) are -602.8 S/cm and -593.8 S/cm, while anomalous Nernst conductivities (ANC) are -4.989 Am-1K-1 and 4.934 Am-1K-1 respectively, for Co2TaX (X = Al, Ga) compounds. Through the Heisenberg magnetic exchange interactions, the Curie temperatures (T-C) for both Co2TaX (X = Al, Ga) compounds are calculated to be 560.7 K and 556.3 K within the mean-field approximation (MFA). The magneto-optical response is also examined, and the polar Kerr rotation angles for Co2TaAl and Co2TaGa at normal incidence were determined to be 0.11 degrees and 1.35 degrees, respectively. As a result, this study may pave the way for precise property engineering in real-world applications.

The interplay between magnetism and topology has brought new prospects in condensed matter physics and material science. By virtue of dissipation-free transport, a special band structure, and a greater Berry curvature, linear response in topological materials is greatly enhanced. The topological band structure in conjunction with symmetries plays a pivotal role in designing state-of-the-art materials with strong and exotic electromagnetic responses, providing favourable mechanisms for the upcoming generation of technological applications. The present work is mainly focused on an intuitive understanding of the anomalous transport coefficients and magneto-optical response in magnetic materials, particularly in regular Co-based Heusler compounds in the framework of the first-principles calculations. The ferromagnetic nature is probed through the Heisenberg exchange interactions and the Curie temperature (Tc) is estimated. With the inclusion of spin–orbit coupling in combination with non-collinear magnetization, the protective symmetries are broken consequently inducing non-vanishing valleys and peaks in the Berry curvature. The calculated values of intrinsic anomalous Hall conductivity (AHC) are 462 S/cm, 371 S/cm and 374 S/cm for the Co2HfZ (Z= Sn, Al, and Ga) and corresponding values of anomalous Nernst conductivity (ANC) are 5.6 A/m/K, −2.3 A/m/K, and 3.7 A/m/K respectively. Additionally, the magneto-optical response is also studied and the corresponding polar Kerr rotation angles at normal incidence were found to be 1.2° for Co2HfSn, 1.1° for Co2HfAl and 0.8° for Co2HfGa. Hence, this study may pave the way to scrupulous engineering of the material properties to realize the technologically desirable applications. © 2022 Elsevier B.V.

The magnetic ground state, electronic, and elastic properties of Co2TaX (X = Al, Ga) are investigated using Density functional theory calculations. The compounds are found to possess mechanical and dynamical stability. Both the compounds exhibit nodal line features in the majority spin channel without the inclusion of spin-orbit coupling (SOC) and become gapped lines when SOC is added. The anomalous Hall effect and anomalous Nernst effect caused by Berry curvature are investigated. Within the region of +/- 300meV around Fermi level, the maximum values of anomalous Hall conductivities (AHC) are -602.8 S/cm and -593.8 S/cm, while anomalous Nernst conductivities (ANC) are -4.989 Am-1K-1 and 4.934 Am-1K-1 respectively, for Co2TaX (X = Al, Ga) compounds. Through the Heisenberg magnetic exchange interactions, the Curie temperatures (T-C) for both Co2TaX (X = Al, Ga) compounds are calculated to be 560.7 K and 556.3 K within the mean-field approximation (MFA). The magneto-optical response is also examined, and the polar Kerr rotation angles for Co2TaAl and Co2TaGa at normal incidence were determined to be 0.11 degrees and 1.35 degrees, respectively. As a result, this study may pave the way for precise property engineering in real-world applications.

The interplay between magnetism and topology has brought new prospects in condensed matter physics and material science. By virtue of dissipation-free transport, a special band structure, and a greater Berry curvature, linear response in topological materials is greatly enhanced. The topological band structure in conjunction with symmetries plays a pivotal role in designing state-of-the-art materials with strong and exotic electromagnetic responses, providing favourable mechanisms for the upcoming generation of technological applications. The present work is mainly focused on an intuitive understanding of the anomalous transport coefficients and magneto-optical response in magnetic materials, particularly in regular Co-based Heusler compounds in the framework of the first-principles calculations. The ferromagnetic nature is probed through the Heisenberg exchange interactions and the Curie temperature (Tc) is estimated. With the inclusion of spin–orbit coupling in combination with non-collinear magnetization, the protective symmetries are broken consequently inducing non-vanishing valleys and peaks in the Berry curvature. The calculated values of intrinsic anomalous Hall conductivity (AHC) are 462 S/cm, 371 S/cm and 374 S/cm for the Co2HfZ (Z= Sn, Al, and Ga) and corresponding values of anomalous Nernst conductivity (ANC) are 5.6 A/m/K, −2.3 A/m/K, and 3.7 A/m/K respectively. Additionally, the magneto-optical response is also studied and the corresponding polar Kerr rotation angles at normal incidence were found to be 1.2° for Co2HfSn, 1.1° for Co2HfAl and 0.8° for Co2HfGa. Hence, this study may pave the way to scrupulous engineering of the material properties to realize the technologically desirable applications. © 2022 Elsevier B.V.

The magnetic ground state, electronic, and elastic properties of Co2TaX (X = Al, Ga) are investigated using Density functional theory calculations. The compounds are found to possess mechanical and dynamical stability. Both the compounds exhibit nodal line features in the majority spin channel without the inclusion of spin-orbit coupling (SOC) and become gapped lines when SOC is added. The anomalous Hall effect and anomalous Nernst effect caused by Berry curvature are investigated. Within the region of +/- 300meV around Fermi level, the maximum values of anomalous Hall conductivities (AHC) are -602.8 S/cm and -593.8 S/cm, while anomalous Nernst conductivities (ANC) are -4.989 Am-1K-1 and 4.934 Am-1K-1 respectively, for Co2TaX (X = Al, Ga) compounds. Through the Heisenberg magnetic exchange interactions, the Curie temperatures (T-C) for both Co2TaX (X = Al, Ga) compounds are calculated to be 560.7 K and 556.3 K within the mean-field approximation (MFA). The magneto-optical response is also examined, and the polar Kerr rotation angles for Co2TaAl and Co2TaGa at normal incidence were determined to be 0.11 degrees and 1.35 degrees, respectively. As a result, this study may pave the way for precise property engineering in real-world applications.

We report on the evidenced anomalous saw-tooth and curved domains in the Si/SiO2/IrMn/Fe2CoSi/Ta bilayers. The existence of saw-tooth domains is attributed to higher magnetic charge density at the domain boundary induced by the IrMn layer, while curved domains are apparent due to Dzyaloshinskii-Morya interaction (DMI). On the other hand, straight domain walls are apparent as a result of uni–axial anisotropy and four-fold anisotropy along the easy axis. The curvature for the domain walls decreases upon changing the angle between sample edge and the magnetic field. We believe that the present results would indeed be helpful for the development of the domain wall motion devices. © 2022 Elsevier B.V.

We report on the evidenced anomalous saw-tooth and curved domains in the Si/SiO2/IrMn/Fe2CoSi/Ta bilayers. The existence of saw-tooth domains is attributed to higher magnetic charge density at the domain boundary induced by the IrMn layer, while curved domains are apparent due to Dzyaloshinskii-Morya interaction (DMI). On the other hand, straight domain walls are apparent as a result of uni–axial anisotropy and four-fold anisotropy along the easy axis. The curvature for the domain walls decreases upon changing the angle between sample edge and the magnetic field. We believe that the present results would indeed be helpful for the development of the domain wall motion devices. © 2022 Elsevier B.V.

We report on the evidenced anomalous saw-tooth and curved domains in the Si/SiO2/IrMn/Fe2CoSi/Ta bilayers. The existence of saw-tooth domains is attributed to higher magnetic charge density at the domain boundary induced by the IrMn layer, while curved domains are apparent due to Dzyaloshinskii-Morya interaction (DMI). On the other hand, straight domain walls are apparent as a result of uni–axial anisotropy and four-fold anisotropy along the easy axis. The curvature for the domain walls decreases upon changing the angle between sample edge and the magnetic field. We believe that the present results would indeed be helpful for the development of the domain wall motion devices. © 2022 Elsevier B.V.

We report on the evidenced anomalous saw-tooth and curved domains in the Si/SiO2/IrMn/Fe2CoSi/Ta bilayers. The existence of saw-tooth domains is attributed to higher magnetic charge density at the domain boundary induced by the IrMn layer, while curved domains are apparent due to Dzyaloshinskii-Morya interaction (DMI). On the other hand, straight domain walls are apparent as a result of uni–axial anisotropy and four-fold anisotropy along the easy axis. The curvature for the domain walls decreases upon changing the angle between sample edge and the magnetic field. We believe that the present results would indeed be helpful for the development of the domain wall motion devices. © 2022 Elsevier B.V.

We report on the evidenced anomalous saw-tooth and curved domains in the Si/SiO2/IrMn/Fe2CoSi/Ta bilayers. The existence of saw-tooth domains is attributed to higher magnetic charge density at the domain boundary induced by the IrMn layer, while curved domains are apparent due to Dzyaloshinskii-Morya interaction (DMI). On the other hand, straight domain walls are apparent as a result of uni–axial anisotropy and four-fold anisotropy along the easy axis. The curvature for the domain walls decreases upon changing the angle between sample edge and the magnetic field. We believe that the present results would indeed be helpful for the development of the domain wall motion devices. © 2022 Elsevier B.V.