Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/137030
Title: Variational study of the two‐impurity spin–boson model with a common Ohmic bath : ground‐state phase transitions
Authors: Zhou, Nengji
Zhang, Yuyu
Lü, Zhiguo
Zhao, Yang
Keywords: Engineering::Materials
Issue Date: 2018
Source: Zhou, N., Zhang, Y., Lü, Z., & Zhao, Y. (2018). Variational study of the two‐impurity spin–boson model with a common Ohmic bath : ground‐state phase transitions. Annalen Der Physik, 530(10), 1800120-. doi:10.1002/andp.201800120
Journal: Annalen Der Physik
Abstract: By means of a trial wave function, the multi‐D1 ansatz, extensive variational calculations with more than 10 000 parameters are carried out to study quantum phase transitions in the ground states of a two‐impurity system embedded in a common Ohmic bath of bosons. Quantum criticality in both the impurity system and the Ohmic bosonic bath is investigated with relevant transition points and critical exponents determined accurately. With the linear grid of the Ohmic spectral density, numerical calculations herein produce a much better description of the ground states with lower energies than other calculations employing a logarithmic grid with a discretization factor far greater than unity. This offers a possible resolution to the considerable controversy on the critical coupling in the literature. Moreover, the ground‐state phase transition is inferred to be of first order in the presence of strong antiferromagnetic spin–spin coupling, at variance with that in the ferromagnetic regime or in the absence of spin–spin coupling where the transition belongs to the Kosterlitz–Thouless universality class.
URI: https://hdl.handle.net/10356/137030
ISSN: 0003-3804
DOI: 10.1002/andp.201800120
Rights: This is the peer reviewed version of the following article: Zhou, N., Zhang, Y., Lü, Z., & Zhao, Y. (2018). Variational study of the two‐impurity spin–boson model with a common Ohmic bath : ground‐state phase transitions. Annalen Der Physik, 530(10), 1800120-. doi:10.1002/andp.201800120, which has been published in final form at https://doi.org/10.1002/andp.201800120. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:MSE Journal Articles

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