2014
DOI: 10.1088/1367-2630/16/6/065015
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Electrically tunable conductance and edge modes in topological crystalline insulator thin films: minimal tight-binding model analysis

Abstract: Topological crystalline insulators (TCI) have been experimentally manufactured and studied. We propose a minimal tight-binding model for thin films made of TCI on the basis of the mirror and discrete rotational symmetries. The basic term consists of the spin-orbit interaction describing a Weyl semimetal, where gapless Dirac cones emerge at all the high-symmetry points in the momentum space. We then introduce the mass term providing gaps to Dirac cones. They simulate the thin films made of the [001], [111] and … Show more

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Cited by 48 publications
(32 citation statements)
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References 69 publications
(143 reference statements)
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“…Due to the cubic structure in the bulk, electronic structures of IV-VI semiconductor thin films depend crucially on the growth direction [19][20][21][22] . In this work, we study (111) thin films of IV-VI TCIs, which have been grown epitaxially in recent experiments 11,15 .…”
mentioning
confidence: 99%
“…Due to the cubic structure in the bulk, electronic structures of IV-VI semiconductor thin films depend crucially on the growth direction [19][20][21][22] . In this work, we study (111) thin films of IV-VI TCIs, which have been grown epitaxially in recent experiments 11,15 .…”
mentioning
confidence: 99%
“…Compared with the standard QSH state proposed in the Kane-Mele model 4 which involves four bands, the number of effective bands in our model is two, but the increased internal valley degrees of freedom compensate the minimum four-band requirement to induce QSH states. In other multi-Dirac-point models 23,24 , similar QSH states might exist if the gaps can been opened by some special perturbations. Of more practical significance, Ref.…”
Section: Quantum Hall Effects Induced By Perturbationsmentioning
confidence: 98%
“…(1)] at that point. 21,33 When these points are, in addition, related by the C 4 rotational symmetry, as is the case with X and Y points on the square lattice, the corresponding band inversions are connected to each other. If there is a band inversion at X point, there is one at Y point as well, and this is enforced precisely by the C 4 symmetry, 21 as it is the case in the X − Y phase, which is obtained in the model (1), as detailed below.…”
Section: -15mentioning
confidence: 99%
“…21 An alternative way to show that the X − Y phase is topologically distinct from the other topological phases on a square lattice was outlined by Ezawa in Ref. 33, where he derived the form of the mirror Chern number in terms of the signs of the Pfaffians at TRI points, Eq. (34) therein.…”
Section: -15mentioning
confidence: 99%