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Computing topological invariants without inversion symmetry. / Soluyanov, Alexey A.; Vanderbilt, David.
в: Physical Review B - Condensed Matter and Materials Physics, Том 83, № 23, 235401, 02.06.2011.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Computing topological invariants without inversion symmetry
AU - Soluyanov, Alexey A.
AU - Vanderbilt, David
PY - 2011/6/2
Y1 - 2011/6/2
N2 - We consider the problem of calculating the weak and strong topological indices in noncentrosymmetric time-reversal (T) invariant insulators. In 2D we use a gauge corresponding to hybrid Wannier functions that are maximally localized in one dimension. Although this gauge is not smoothly defined on the two torus, it respects the T symmetry of the system and allows for a definition of the Z(2) invariant in terms of time-reversal polarization. In 3D we apply the 2D approach to T-invariant planes. We illustrate the method with first-principles calculations on GeTe and on HgTe under [001] and [111] strain. Our approach differs from ones used previously for noncentrosymmetric materials and should be easier to implement in ab initio code packages.
AB - We consider the problem of calculating the weak and strong topological indices in noncentrosymmetric time-reversal (T) invariant insulators. In 2D we use a gauge corresponding to hybrid Wannier functions that are maximally localized in one dimension. Although this gauge is not smoothly defined on the two torus, it respects the T symmetry of the system and allows for a definition of the Z(2) invariant in terms of time-reversal polarization. In 3D we apply the 2D approach to T-invariant planes. We illustrate the method with first-principles calculations on GeTe and on HgTe under [001] and [111] strain. Our approach differs from ones used previously for noncentrosymmetric materials and should be easier to implement in ab initio code packages.
KW - SPACE GAUSSIAN PSEUDOPOTENTIALS
KW - HGTE QUANTUM-WELLS
KW - SINGLE DIRAC CONE
KW - WANNIER FUNCTIONS
KW - ENERGY-BANDS
KW - INSULATORS
KW - PHASE
KW - SURFACE
KW - SOLIDS
KW - BI2TE3
U2 - 10.1103/PhysRevB.83.235401
DO - 10.1103/PhysRevB.83.235401
M3 - статья
VL - 83
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 1098-0121
IS - 23
M1 - 235401
ER -
ID: 9471323