Disorder by disorder and flat bands in the kagome transverse field Ising model

Powalski M, Coester K, Moessner R, Schmidt KP (2013)

Publication Status: Published

Publication Type: Journal article

Publication year: 2013

Journal

Physical Review B American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 87

Journal Issue: 5

DOI: 10.1103/PhysRevB.87.054404

Abstract

We study the transverse field Ising model on a kagome and a triangular lattice using high-order series expansions about the high-field limit. For the triangular lattice our results confirm a second-order quantum phase transition in the 3d XY universality class. Our findings for the kagome lattice indicate a notable instance of a disorder by disorder scenario in two dimensions. The latter follows from a combined analysis of the elementary gap in the high- and low-field limit which is shown to stay finite for all fields h. Furthermore, the lowest one-particle dispersion for the kagome lattice is extremely flat acquiring a dispersion only from order 8 in the 1/h limit. This behavior can be traced back to the existence of local modes and their breakdown which is understood intuitively via the linked cluster expansion. DOI: 10.1103/PhysRevB.87.054404

Authors with CRIS profile

Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

Max-Planck-Institut für Physik komplexer Systeme (MPI PKS) / Max Planck Institute for the Physics of Complex Systems

Germany (DE) Technische Universität Dortmund

Germany (DE)

How to cite

APA:

Powalski, M., Coester, K., Moessner, R., & Schmidt, K.P. (2013). Disorder by disorder and flat bands in the kagome transverse field Ising model. Physical Review B, 87(5). https://doi.org/10.1103/PhysRevB.87.054404

MLA:

Powalski, M., et al. "Disorder by disorder and flat bands in the kagome transverse field Ising model." Physical Review B 87.5 (2013).

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