Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
Name
PhysRevB.95.075132.pdf
Size
820.49 KB
Format
Adobe PDF
Checksum (MD5)
cea5fc06eb43d51e8584f6fafada6105
Author(s)
Alberton, Ori
Berg, Erez
Altman, Ehud
Ruhman, Yehonatan
Date Issued
February 2017
Journal
Physical Review B
Publisher
American Physical Society
Citation
Alberton, Ori et al. “Fate of the One-Dimensional Ising Quantum Critical Point Coupled to a Gapless Boson.” Physical Review B 95.7 (2017): n. pag. © 2017 American Physical Society
Version
Final published version
Abstract
The problem of a quantum Ising degree of freedom coupled to a gapless bosonic mode appears naturally in many one-dimensional systems, yet surprisingly little is known how such a coupling affects the Ising quantum critical point. We investigate the fate of the critical point in a regime, where the weak coupling renormalization group (RG) indicates a flow toward strong coupling. Using a renormalization group analysis and numerical density matrix renormalization group (DMRG) calculations we show that, depending on the ratio of velocities of the gapless bosonic mode and the Ising critical fluctuations, the transition may remain continuous or become fluctuation-driven first order. The two regimes are separated by a tricritical point of a novel type.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevB.95.075132
