Revivals of quantum wave packets in graphene

被引：57

作者：

Krueckl, Viktor ^{[1
]}

Kramer, Tobias ^{[1
,2
]}

机构：

[1] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany

[2] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA

来源：

NEW JOURNAL OF PHYSICS | 2009年 / 11卷

关键词：

SCHRODINGER-EQUATION; BERRY-PHASE; DYNAMICS; FIELD; FACTORIZATION;

D O I：

10.1088/1367-2630/11/9/093010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the propagation of wave packets on graphene in a perpendicular magnetic field and the appearance of collapses and revivals in the time evolution of an initially localized wave packet. The wave-packet evolution in graphene differs drastically from the one in an electron gas and shows a rich revival structure similar to the dynamics of highly excited Rydberg states. We present a novel numerical wave-packet propagation scheme in order to solve the effective single-particle Dirac-Hamiltonian of graphene and show how the collapse and revival dynamics is affected by the presence of disorder. Our effective numerical method is of general interest for the solution of the Dirac equation in the presence of potentials and magnetic fields.

引用

页数：22

共 49 条

[1] Loschmidt echo and Lyapunov exponent in a quantum disordered system [J].

Adamov, Y ;

Gornyi, IV ;

Mirlin, AD .

PHYSICAL REVIEW E, 2003, 67 (05) :10

[2] Imaging magnetic focusing of coherent electron waves [J].

Aidala, Katherine E. ;

Parrott, Robert E. ;

Kramer, Tobias ;

Heller, E. J. ;

Westervelt, R. M. ;

Hanson, M. P. ;

Gossard, A. C. .

NATURE PHYSICS, 2007, 3 (07) :464-468

[3] FRACTIONAL REVIVALS - UNIVERSALITY IN THE LONG-TERM EVOLUTION OF QUANTUM WAVE-PACKETS BEYOND THE CORRESPONDENCE PRINCIPLE DYNAMICS [J].

AVERBUKH, IS ;

PERELMAN, NF .

PHYSICS LETTERS A, 1989, 139 (09) :449-453

[4] QUANTAL PHASE-FACTORS ACCOMPANYING ADIABATIC CHANGES [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) :45-57

[5] Factorization of numbers with the temporal talbot effect: Optical implementation by a sequence of shaped ultrashort pulses [J].

Bigourd, Damien ;

Chatel, Beatrice ;

Schleich, Wolfgang P. ;

Girard, Bertrand .

PHYSICAL REVIEW LETTERS, 2008, 100 (03)

[6] Temperature-dependent transport in suspended graphene [J].

Bolotin, K. I. ;

Sikes, K. J. ;

Hone, J. ;

Stormer, H. L. ;

Kim, P. .

PHYSICAL REVIEW LETTERS, 2008, 101 (09)

[7] QUANTUM-MECHANICAL MOTION OF GAUSSIAN WAVE-PACKETS ON ELLIPTIC AND HYPERBOLIC KEPLER ORBITS IN THE COULOMB FIELD [J].

BORIS, SD ;

BRANDT, S ;

DAHMEN, HD ;

STROH, T ;

LARSEN, ML .

PHYSICAL REVIEW A, 1993, 48 (04) :2574-2585

[8] The electronic properties of graphene [J].

Castro Neto, A. H. ;

Guinea, F. ;

Peres, N. M. R. ;

Novoselov, K. S. ;

Geim, A. K. .

REVIEWS OF MODERN PHYSICS, 2009, 81 (01) :109-162

[9] BERRY PHASE, HYPERORBITS, AND THE HOFSTADTER SPECTRUM [J].

CHANG, MC ;

NIU, Q .

PHYSICAL REVIEW LETTERS, 1995, 75 (07) :1348-1351

[10] Electronic properties of curved graphene sheets [J].

Cortijo, A. ;

Vozmediano, M. A. H. .

EPL, 2007, 77 (04)

← 1 2 3 4 5 →