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Magnetic proximity effect at Bi$_2$Se$_3$/EuS interface with broken inversion symmetry
Mesoscale and Nanoscale Physics · Submitted 23 Jul 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim For both 3 and 5 QLs, the top-surface Dirac cone has an energy gap of 9 meV, while the bottom surface Dirac cone remains gapless.
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The abstract, sentence by sentence
We investigate a magnetic proximity effect on Dirac surface states of topological insulator (TI) induced by a Bi$_2$Se$_3$/EuS interface, using density-functional theory (DFT) and a low-energy effective model, motivated by a recent experimental realization of the interface. We consider a thin ferromagnetic insulator EuS film stacked on top of Bi$_2$Se$_3$(111) slabs of three or five quintuple layers (QLs) with the magnetization of EuS normal to the interface ($z$ axis), which breaks both time-reversal and inversion symmetry. It is found that a charge transfer and surface relaxation makes the Dirac cones electron-doped. For both 3 and 5 QLs, the top-surface Dirac cone has an energy gap of 9 meV, while the bottom surface Dirac cone remains gapless. This feature is due to the short-ranged induced magnetic moment of the EuS film. For the 5 QLs, an additional Dirac cone with an energy gap of 2 meV is formed right below the bottom-surface Dirac point, while for 3 QLs, there is no additional Dirac cone. We also examine the spin-orbital texture of the Dirac surface states with broken inversion symmetry, using DFT and the effective model. We find that the $p_z$ orbital is coupled to the $z$ component of the spin moment in the opposite sign to the $p_x$ and $p_y$ orbitals. The $p_z$ and radial $p$ orbitals are coupled to the in-plane spin texture in the opposite handedness to the tangential $p$ orbital. The result obtained from the effective model agrees with our DFT calculations. The calculated spin-orbital texture may be tested from spin-polarized angle-resolved photoemission spectroscopy.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate a magnetic proximity effect on Dirac surface states of topological insulator (TI) induced by a Bi$_2$Se$_3$/EuS interface, using density-functional theory (DFT) and a low-energy effective model, motivated by a recent experimental realization of the interface. | contribution 1.00 | 0.93 | 0.06 | asserted 0.75 |
| s1 | We consider a thin ferromagnetic insulator EuS film stacked on top of Bi$_2$Se$_3$(111) slabs of three or five quintuple layers (QLs) with the magnetization of EuS normal to the interface ($z$ axis), which breaks both time-reversal and inversion symmetry. | method 0.73 | 0.57 | 0.04 | asserted 0.90 |
| s2 | It is found that a charge transfer and surface relaxation makes the Dirac cones electron-doped. | result 1.00 | 0.94 | 0.09 | asserted 1.00 |
| s3 | For both 3 and 5 QLs, the top-surface Dirac cone has an energy gap of 9 meV, while the bottom surface Dirac cone remains gapless. | result 1.00 | 0.96 | 0.38 | asserted 1.00 |
| s4 | This feature is due to the short-ranged induced magnetic moment of the EuS film. | interpretation 1.00 | 0.83 | 0.13 | asserted 1.00 |
| s5 | For the 5 QLs, an additional Dirac cone with an energy gap of 2 meV is formed right below the bottom-surface Dirac point, while for 3 QLs, there is no additional Dirac cone. | result 1.00 | 0.95 | 0.13 | asserted 1.00 |
| s6 | We also examine the spin-orbital texture of the Dirac surface states with broken inversion symmetry, using DFT and the effective model. | contribution 0.73 | 0.93 | 0.03 | asserted 0.68 |
| s7 | We find that the $p_z$ orbital is coupled to the $z$ component of the spin moment in the opposite sign to the $p_x$ and $p_y$ orbitals. | result 1.00 | 0.96 | 0.08 | asserted 1.00 |
| s8 | The $p_z$ and radial $p$ orbitals are coupled to the in-plane spin texture in the opposite handedness to the tangential $p$ orbital. | result 1.00 | 0.94 | 0.07 | asserted 1.00 |
| s9 | The result obtained from the effective model agrees with our DFT calculations. | result 0.70 | 0.90 | 0.06 | asserted 1.00 |
| s10 | The calculated spin-orbital texture may be tested from spin-polarized angle-resolved photoemission spectroscopy. | future work 0.99 | 0.36 | 0.05 | hedged possibility 1.00 |
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Original abstract
We investigate a magnetic proximity effect on Dirac surface states of topological insulator (TI) induced by a Bi$_2$Se$_3$/EuS interface, using density-functional theory (DFT) and a low-energy effective model, motivated by a recent experimental realization of the interface. We consider a thin ferromagnetic insulator EuS film stacked on top of Bi$_2$Se$_3$(111) slabs of three or five quintuple layers (QLs) with the magnetization of EuS normal to the interface ($z$ axis), which breaks both time-reversal and inversion symmetry. It is found that a charge transfer and surface relaxation makes the Dirac cones electron-doped. For both 3 and 5 QLs, the top-surface Dirac cone has an energy gap of 9 meV, while the bottom surface Dirac cone remains gapless. This feature is due to the short-ranged induced magnetic moment of the EuS film. For the 5 QLs, an additional Dirac cone with an energy gap of 2 meV is formed right below the bottom-surface Dirac point, while for 3 QLs, there is no additional Dirac cone. We also examine the spin-orbital texture of the Dirac surface states with broken inversion symmetry, using DFT and the effective model. We find that the $p_z$ orbital is coupled to the $z$ component of the spin moment in the opposite sign to the $p_x$ and $p_y$ orbitals. The $p_z$ and radial $p$ orbitals are coupled to the in-plane spin texture in the opposite handedness to the tangential $p$ orbital. The result obtained from the effective model agrees with our DFT calculations. The calculated spin-orbital texture may be tested from spin-polarized angle-resolved photoemission spectroscopy.
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States a conflicting result 1 paper
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We also do not see additional induced magnetization at the interface or the magnetic proximity effect on the topological states.
What it cites
Cites as background 1 paper
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As a result, not only an energy gap is open at the Dirac point [ref] , but also various interesting effects are expected, such as the topological magneto-electric effect [ref] , the quantum anomalous Hall effect [ref] , weak localization behavior in transport [ref] , and enhanced spin transfer torque [ref] .
Spin Transfer Torque Generated by the Topological Insulator Bi_2Se_3 · Introduction · 0.85
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