Observation of Topological Phase Transitions in Photonic Quasicrystals

被引：313

作者：

Verbin, Mor ^{[1
]}

Zilberberg, Oded ^{[2
]}

Kraus, Yaacov E. ^{[2
]}

Lahini, Yoav ^{[1
,3
]}

Silberberg, Yaron ^{[1
]}

机构：

[1] Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel

[2] Weizmann Inst Sci, Dept Condensed Matter Phys, IL-76100 Rehovot, Israel

[3] MIT, Dept Phys, Cambridge, MA 02139 USA

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 07期

关键词：

MAJORANA FERMIONS; WAVE-FUNCTIONS; SUPERCONDUCTOR; LOCALIZATION; INSULATORS; ELECTRONS; EQUATION;

D O I：

10.1103/PhysRevLett.110.076403

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Topological insulators and topological superconductors are distinguished by their bulk phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals have recently been found to be topologically nontrivial. In quasicrystals, the bulk phase transitions occur in the same manner as standard topological materials, but their boundary phenomena are more subtle. In this Letter we directly observe bulk phase transitions, using photonic quasicrystals, by constructing a smooth boundary between topologically distinct one-dimensional quasicrystals. Moreover, we use the same method to experimentally confirm the topological equivalence between the Harper and Fibonacci quasicrystals. DOI: 10.1103/PhysRevLett.110.076403

引用

页数：5

共 28 条

[11] Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement [J].

Kells, G. ;

Meidan, D. ;

Brouwer, P. W. .

PHYSICAL REVIEW B, 2012, 86 (10)

[12] CRITICAL WAVE-FUNCTIONS AND A CANTOR-SET SPECTRUM OF A ONE-DIMENSIONAL QUASI-CRYSTAL MODEL [J].

KOHMOTO, M ;

SUTHERLAND, B ;

TANG, C .

PHYSICAL REVIEW B, 1987, 35 (03) :1020-1033

[13] LOCALIZATION PROBLEM IN ONE DIMENSION - MAPPING AND ESCAPE [J].

KOHMOTO, M ;

KADANOFF, LP ;

TANG, C .

PHYSICAL REVIEW LETTERS, 1983, 50 (23) :1870-1872

[14] Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model [J].

Kraus, Yaacov E. ;

Zilberberg, Oded .

PHYSICAL REVIEW LETTERS, 2012, 109 (11)

[15] Topological States and Adiabatic Pumping in Quasicrystals [J].

Kraus, Yaacov E. ;

Lahini, Yoav ;

Ringel, Zohar ;

Verbin, Mor ;

Zilberberg, Oded .

PHYSICAL REVIEW LETTERS, 2012, 109 (10)

[16] Discrete solitons in optics [J].

Lederer, Falk ;

Stegeman, George I. ;

Christodoulides, Demetri N. ;

Assanto, Gaetano ;

Segev, Moti ;

Silberberg, Yaron .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 463 (1-3) :1-126

[17] Simulating Z2 topological insulators with cold atoms in a one-dimensional optical lattice [J].

Mei, Feng ;

Zhu, Shi-Liang ;

Zhang, Zhi-Ming ;

Oh, C. H. ;

Goldman, N. .

PHYSICAL REVIEW A, 2012, 85 (01)

[18] Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices [J].

Mourik, V. ;

Zuo, K. ;

Frolov, S. M. ;

Plissard, S. R. ;

Bakkers, E. P. A. M. ;

Kouwenhoven, L. P. .

SCIENCE, 2012, 336 (6084) :1003-1007

[19] ONE-DIMENSIONAL SCHRODINGER-EQUATION WITH AN ALMOST PERIODIC POTENTIAL [J].

OSTLUND, S ;

PANDIT, R ;

RAND, D ;

SCHELLNHUBER, HJ ;

SIGGIA, ED .

PHYSICAL REVIEW LETTERS, 1983, 50 (23) :1873-1876

[20] Topological insulators and superconductors [J].

Qi, Xiao-Liang ;

Zhang, Shou-Cheng .

REVIEWS OF MODERN PHYSICS, 2011, 83 (04)

← 1 2 3 →