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Transverse field γ -matrix spin chains

Publication ,  Journal Article
Siew, RX; Chandrasekharan, S; Kaul, RK
Published in: Physical Review D
November 1, 2024

We introduce a simple lattice spin model that is written in terms of the well-known four-dimensional γ-matrix representation of the Clifford algebra. The local spins with a four-dimensional Hilbert space transform in a spinorial (1/2,0) (0,1/2) representation of SO(4), a symmetry of our model. When studied on a chain, and as a function of a transverse field tuning parameter, our model undergoes a quantum phase transition from a valence bond solid phase to a critical phase that is described by an SU(2)1 Wess-Zumino-Witten field theory.

Duke Scholars

Published In

Physical Review D

DOI

EISSN

2470-0029

ISSN

2470-0010

Publication Date

November 1, 2024

Volume

110

Issue

9
 

Citation

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MLA
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Siew, R. X., Chandrasekharan, S., & Kaul, R. K. (2024). Transverse field γ -matrix spin chains. Physical Review D, 110(9). https://doi.org/10.1103/PhysRevD.110.094510
Siew, R. X., S. Chandrasekharan, and R. K. Kaul. “Transverse field γ -matrix spin chains.” Physical Review D 110, no. 9 (November 1, 2024). https://doi.org/10.1103/PhysRevD.110.094510.
Siew RX, Chandrasekharan S, Kaul RK. Transverse field γ -matrix spin chains. Physical Review D. 2024 Nov 1;110(9).
Siew, R. X., et al. “Transverse field γ -matrix spin chains.” Physical Review D, vol. 110, no. 9, Nov. 2024. Scopus, doi:10.1103/PhysRevD.110.094510.
Siew RX, Chandrasekharan S, Kaul RK. Transverse field γ -matrix spin chains. Physical Review D. 2024 Nov 1;110(9).

Published In

Physical Review D

DOI

EISSN

2470-0029

ISSN

2470-0010

Publication Date

November 1, 2024

Volume

110

Issue

9