Linked-cluster expansions for quantum magnets on the hypercubic lattice

Coester K, Joshi DG, Vojta M, Schmidt KP (2016)

Publication Language: English

Publication Status: Published

Publication Type: Journal article

Publication year: 2016

Journal

Physical Review B American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 94

Journal Issue: 12

DOI: 10.1103/PhysRevB.94.125109

Abstract

For arbitrary space dimension d, we investigate the quantum phase transitions of two paradigmatic spin models defined on a hypercubic lattice, the coupled-dimer Heisenberg model and the transverse-field Ising model. To this end, high-order linked-cluster expansions for the ground-state energy and the one-particle gap are performed up to order 9 about the decoupled-dimer and high-field limits, respectively. Extrapolations of the high-order series yield the location of the quantum phase transition and the correlation-length exponent. as a function of space dimension d. The results are complemented by 1/d expansions to next-to-leading order of observables across the phase diagrams. Remarkably, our analysis of the extrapolated linked-cluster expansion allows to extract the coefficients of the full 1/d expansion for the phase-boundary location in both models exactly in leading order and quantitatively for subleading corrections.

Authors with CRIS profile

Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

Technische Universität Dortmund DE Germany (DE) Technische Universität Dresden DE Germany (DE)

How to cite

APA:

Coester, K., Joshi, D.G., Vojta, M., & Schmidt, K.P. (2016). Linked-cluster expansions for quantum magnets on the hypercubic lattice. Physical Review B, 94(12). https://dx.doi.org/10.1103/PhysRevB.94.125109

MLA:

Coester, Kris, et al. "Linked-cluster expansions for quantum magnets on the hypercubic lattice." Physical Review B 94.12 (2016).

BibTeX: Download