Topological phases in a two-dmensional lattice: Magnetic field versus spin-orbit coupling

W. Beugeling, N. Goldman, C. de Morais Smith

Research output: Contribution to journalArticleAcademicpeer-review


In this work, we explore the rich variety of two-dimensional topological phases that arise when considering the competing effects of spin-orbit couplings, Zeeman splitting, and uniform magnetic fields. We investigate minimal models, defined on a honeycomb lattice, which clarify the topological phases stemming from the intrinsic and Rashba spin-orbit couplings, and also from the Zeeman splitting. In this sense, our work provides an interesting path connecting the quantum Hall phases, generally produced by the uniform magnetic field, and the quantum spin Hall phases resulting from spin-dependent couplings. First, we analyze the properties of each coupling term individually and we point out their similarities and differences. Second, we investigate the subtle competitions that arise when these effects are combined. We finally explore the various possible experimental realizations of our model.
Original languageEnglish
Article number075118
Pages (from-to)075118 /1-075118 /18
Number of pages18
JournalPhysical review. B, Condensed matter and materials physics
Issue number7
Publication statusPublished - 2012


Dive into the research topics of 'Topological phases in a two-dmensional lattice: Magnetic field versus spin-orbit coupling'. Together they form a unique fingerprint.

Cite this