Finite-size-effect-induced topological phase transition in a topological crystalline insulator

Abstract

We study electronic states and topological invariants of (001)-films of topological crystalline insulator (TCI) Pb_{x}Sn_{1-x}Te. Gapless surface Dirac cones on bulk TCIs become gapped in thin films due to finite-size effect, which is hybridization between those on the top and bottom surfaces. We clarify that the TCI film has the strong finite-size effect as compared to three-dimensional topological insulators such as Bi2Se3. Moreover, the energy gap oscillates with the thickness of film. The oscillation stems from topological phase transitions in two dimensions. The obtained data of the topological invariants and energy gap serve as guide to TCI-device applications.

18 pages, 18 figures

References in corpus (14)

• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological Crystalline Insulators
• The space group classification of topological band insulators
• Odd-Parity Pairing and Topological Superconductivity in a Strongly Spin-Orbit Coupled Semiconductor
• Experimental observation of Dirac-like surface states and topological phase transition in Pb${}_{1-x}$Sn${}_x$Te(111) films
• Enhanced superconducting pairing interaction in indium-doped tin telluride
• Superconducting properties of the In substituted Topological Crystalline Insulator, SnTe
• Spin-polarized (001) surface states of the topological crystalline insulator Pb_{0.73}Sn_{0.27}Se
• Electrically Tunable Conductance and Edge Modes in Topological Crystalline Insulator Thin Films: Tight-Binding Model Analysis
• Finite-size energy gap in weak and strong topological insulators
• Synthesis and characterisation of nanomaterials of the topological crystalline insulator SnTe
• One-dimensional topological insulator: a model for studying finite-size effects in topological insulator thin films
• Topological phase transition and two dimensional topological insulators in Ge-based thin films
• Fully Gapped s-wave-like Superconducting State and Electronic Structures in the Ir0.95Pd0.05Te2 Single Crystals with Strong Spin-orbital Coupling

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• Experimental formation of monolayer group-IV monochalcogenides
• Quantum Spin Hall Effect in IV-VI Topological Crystalline Insulators
• Electrically Tunable Quantum Spin Hall State in Topological Crystalline Insulator Thin films
• Surface electronic state of superconducting topological crystalline insulator
• Layered Topological Crystalline Insulators
• Dimensional crossover of transport characteristics in topological insulator nanofilms
• Topological Properties of SnSe/EuS and SnTe/CaTe Interfaces
• Prediction of Topological Crystalline Insulator and Topological Phase Transitions in Two-dimensional PbTe Films
• Glide-symmetric topological crystalline insulator phase in a nonprimitive lattice
• Magnetic-Field Induced Semimetal in Topological Crystalline Insulator Thin Films
• Topological Nonsymmorphic Ribbons out of Symmorphic Bulk
• Manipulating topological-insulator properties using quantum confinement
• Hinge Modes and Surface States in Second-Order Topological Three-Dimensional Quantum Hall Systems induced by Charge Density Modulation
• Emergent Momentum-Space Skyrmion Texture on the Surface of Topological Insulators
• Analytical Solutions for the Surface States of Bi${}_{1-x}$Sb${}_x$ ($0\le x\lesssim 0.1$)
• Persistence of symmetry-protected Dirac points at the surface of the topological crystalline insulator SnTe upon impurity doping
• Extracting unconventional spin texture in two dimensional topological crystalline insulator bismuthene via tuning bulk-edge interactions
• Interfacial-state coupling induced topological phase transitions in SnTe (110) thin film
• Existence of dual topological phases in Sn-based ternary chalcogenides
• Direct probe of ferromagnetic proximity effect at the interface in Fe/SnTe heterostructure by polarized neutron reflectometry
• Topological electronic structure of twin boundaries and twinning superlattices in the SnTe material class
• Pentagonal nanowires from topological crystalline insulators: a platform for intrinsic core-shell nanowires and higher-order topology
• Topological blocking at the Bi(111) surface due to surface relaxation
• Quantum spin Hall effect in strained (111)-oriented SnSe layers