Universität zu Köln

de la Pena, David Sanchez, Lichtenstein, Julian, Honerkamp, Carsten ORCID: 0000-0001-6049-1110 and Scherer, Michael M. ORCID: 0000-0003-0766-9949 (2017). Antiferromagnetism and competing charge instabilities of electrons in strained graphene from Coulomb interactions. Phys. Rev. B, 96 (20). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

We study the quantum many-body ground states of electrons on the half-filled honeycomb lattice with short- and long-ranged density-density interactions as a model for graphene. To this end, we employ the recently developed truncated-unity functional renormalization group (TU-fRG) approach which allows for a high resolution of the interaction vertex' wave vector dependence. We connect to previous lattice quantum Monte Carlo (QMC) results which predict a stabilization of the semimetallic phase for realistic ab initio interaction parameters and confirm that the application of a finite biaxial strain can induce a quantum phase transition towards an ordered ground state. In contrast to lattice QMC simulations, the TU-fRG is not limited in the choice of tight-binding and interaction parameters to avoid the occurrence of a sign problem. Therefore, we also investigate a range of parameters relevant to the realistic graphene material which are not accessible by numerically exact methods. Although a plethora of charge-density waves arises under medium-range interactions, we find the antiferromagnetic spin-density wave to be the prevailing instability for long-range interactions. We further explore the impact of an extended tight-binding Hamiltonian with second-nearest-neighbor hopping and a finite chemical potential for a more accurate description of the band structure of graphene's p(z) electrons.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code de la Pena, David Sanchez UNSPECIFIED UNSPECIFIED UNSPECIFIED Lichtenstein, Julian UNSPECIFIED UNSPECIFIED UNSPECIFIED Honerkamp, Carsten UNSPECIFIED orcid.org/0000-0001-6049-1110 UNSPECIFIED Scherer, Michael M. UNSPECIFIED orcid.org/0000-0003-0766-9949 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-210853
DOI:	10.1103/PhysRevB.96.205155
Journal or Publication Title:	Phys. Rev. B
Volume:	96
Number:	20
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TRANSITION; FERMIONS; MODEL Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/21085