Ultrahigh exciton diffusion in intrinsic diamond

Morimoto, H.; Hazama, Yuji; Tanaka, Kōichiro; Naka, N.

doi:10.1103/physrevb.92.201202

Cited by 33 publications

(36 citation statements)

References 39 publications

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“…Distinct classes of topological superconductors have been identified (see, e.g., Refs. [355,356,357]). Their properties have been a subject of several review articles [358,359,360,361,362,363,364,365].…”

Section: Chiral Superconductivity Majorana Edge Modes and Related Phmentioning

confidence: 99%

Transport in two-dimensional topological materials: recent developments in experiment and theory

et al. 2020

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We review theoretical and experimental highlights in transport in two-dimensional materials focussing on key developments over the last five years. Topological insulators are finding applications in magnetic devices, while Hall transport in doped samples and the general issue of topological protection remain controversial. In transition metal dichalcogenides valley-dependent electrical and optical phenomena continue to stimulate state-of-the-art experiments. In Weyl semimetals the properties of Fermi arcs are being actively investigated. A new field, expected to grow in the near future, focuses on the non-linear electrical and optical responses of topological materials, where fundamental questions are once more being asked about the intertwining roles of the Berry curvature and disorder scattering. In topological superconductors the quest for chiral superconductivity, Majorana fermions and topological quantum computing is continuing apace. :1907.10058v1 [cond-mat.mes-hall] arXiv

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Section: Chiral Superconductivity Majorana Edge Modes and Related Phmentioning

confidence: 99%

Transport in two-dimensional topological materials: recent developments in experiment and theory

et al. 2020

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“…We begin by reviewing the known anomaly indicators for time-reversal symmetric fermionic systems [15,16]. In (3 + 1)-D there are believed to be 16 time-reversal symmetric fermionic SPT phases, corresponding to the Z 16 classification of interacting (3 + 1)-D topological superconductors in symmetry class DIII [23,25,[34][35][36][37][38][39][40][41][42][43][44] (note that the non-interacting classification is Z instead of Z 16 [45,46]). It follows from this result that every time-reversal symmetric fermionic topological order is associated with an anomaly valued in Z 16 , which can be realized concretely by a phase e i 2πν 16 for ν = 0, .…”

Section: Review Of Anomaly Indicators For Systems With Z T 2 Symmetrymentioning

confidence: 99%

Anomaly indicators for topological orders with U(1) and time-reversal symmetry

Lapa

Levin

2019

Phys. Rev. B

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We study anomalies in time-reversal (Z T 2 ) and U (1) symmetric topological orders. In this context, an anomalous topological order is one that cannot be realized in a strictly (2 + 1)-D system but can be realized on the surface of a (3 + 1)-D symmetry-protected topological (SPT) phase. To detect these anomalies we propose several anomaly indicators -functions that take as input the algebraic data of a symmetric topological order and that output a number indicating the presence or absence of an anomaly. We construct such indicators for both structures of the full symmetry group, i.e. U (1) Z T 2 and U (1) × Z T 2 , and for both bosonic and fermionic topological orders. In all cases we conjecture that our indicators are complete in the sense that the anomalies they detect are in one-to-one correspondence with the known classification of (3 + 1)-D SPT phases with the same symmetry. We also show that one of our indicators for bosonic topological orders has a mathematical interpretation as a partition function for the bulk (3 + 1)-D SPT phase on a particular manifold and in the presence of a particular background gauge field for the U (1) symmetry. * email address: mlapa@uchicago.edu † email address: malevin@uchicago.edu 1 In this paper, we only consider topological orders that can be realized on surfaces of (3 + 1)-D SPT phases, which by definition are short-range entangled. We do not address the question of which topological orders can be realized on the boundary of (3 + 1)-D long-range entangled phases. Readers interested in this topic can consult Ref. 14, for example. arXiv:1905.00435v1 [cond-mat.str-el] 1 May 2019

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“…Consequently, the topological region (where the number of Fermi surfaces is odd) is wider when µ < 0, as shown by the dashed line in FIG.2(c) where the whole phase diagram is obtained. The effect of δE has been discussed [59] and it happens in real experiments [60]. Note that no new phases emerge from this energy difference of two surfaces and its effect on the phase diagram is only quantitative.…”

Section: The Effective Hamiltonian Of the System Ismentioning

confidence: 99%

Platform of chiral Majorana edge modes and its quantum transport phenomena

Liang

Tanaka

et al. 2019

Commun Phys

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We propose a method to create two-dimensional topological superconductors with a heterostructure of ferromagnet (FM), topological insulator (TI) thin film and superconductor, in which the two surfaces of the TI thin film are treated as a two-dimensional system. One of surfaces is superconducting due to proximity effect and the other feels an exchange field from the FM. We show that there is a topological phase with single chiral Majorana edge mode that exists in readily achievable parameter regions and does not require magnetization to be small. An experimental setup is proposed based on our model to uniquely determine the existence of Majorana chiral modes using a Josephson junction. Also, we show that multiple chiral Majorana edge modes may appear when unconventional superconductors are used.[S1] B.

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Ultrahigh exciton diffusion in intrinsic diamond

Cited by 33 publications

References 39 publications

Transport in two-dimensional topological materials: recent developments in experiment and theory

Transport in two-dimensional topological materials: recent developments in experiment and theory

Anomaly indicators for topological orders with U(1) and time-reversal symmetry

Platform of chiral Majorana edge modes and its quantum transport phenomena

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