Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

QUANTUM PHASE TRANSITIONS IN THE ONE DIMENSIONAL XY MODEL IN A TRANSVERSE FIELD

Oluwaseyi Oshin, Kunle Adegoke, Adenike Olatinwo, C. Olukunle Olawole

Published Jan 1, 2025• 0 citations
Publisher
DOI
10.2139/ssrn.5916845

Related papers

Exact ground-state excitations of the XY model in a transverse field in one dimension

Purusattam Ray, Bikas K. Chakrabarti

Physics Letters A•Nov 1, 1983•8 citations

LEE-YANG ZEROS AND QUANTUM PHASE TRANSITIONS OF NONUNIFORM ANISOTROPIC CHAINS IN A TRANSVERSE FIELD

Ming Zhong, Xiaoxian Liu, Peiqing Tong

The quantum phase transitions of four kinds of nonuniform anisotropic XY quantum spin chains in a transverse field are studied by the Lee-Yang zeros method. It is found that the closed curves of the partition function zeros cut the positive real axis at the quantum phase transition points. The results are checked by the explicit calculations of the magnetization.

International Journal of Modern Physics B•Sep 30, 2007•1 citation

Quantum phase transitions in the anisotropic three dimensional XY model

Antonio S. T. Pires, B. V. Costa

Physica A Statistical Mechanics and its Applications•Jun 9, 2009•33 citations

ONE-DIMENSIONAL QUANTUM TRANSVERSE-FIELD ISING MODEL: A SEMICLASSICAL TRANSFER MATRIX APPROACH

Tuncer Kaya

In this work we present a semi-classical transfer matrix method to study one-dimensional modified quantum transverse-field Ising model. Both average magnetization per spin along the z-direction 〈σz〉 and along the x-direction 〈σx〉 are calculated in this picture. It is predicted that the t > 1 case is the corresponding effective ferromagnetic phase [Formula: see text] at sufficiently high Hzwhereas t < 1 case is an effective paramagnetic phase [Formula: see text]. Consequently, it is concluded that t = Hz/K = 1, here Hzis the transverse field along the z-axis and K is the coupling strength, which corresponds to quantum ferromagnetic-paramagnetic phase transition. In other words, the same result of the sophisticated quantum field theoretical calculation is predicted unexpectedly in the naive semiclassical picture.

International Journal of Modern Physics B•Oct 30, 2010•1 citation

Quantum phase transition in the anisotropic one-dimensional XY model with long-range interactions

Antonio S. T. Pires

Journal of Magnetism and Magnetic Materials•Jan 26, 2010•10 citations

Quantum-phase transition in a XY model

Antonio S. T. Pires

Physica A Statistical Mechanics and its Applications•Sep 8, 2006•40 citations
In this work we present a semi-classical transfer matrix method to study one-dimensional modified quantum transverse-field Ising model. Both average magnetization per spin along the z-direction 〈σz〉 and along the x-direction 〈σx〉 are calculated in this picture. It is predicted that the t > 1 case is the corresponding effective ferromagnetic phase [Formula: see text] at sufficiently high Hzwhereas t < 1 case is an effective paramagnetic phase [Formula: see text]. Consequently, it is concluded that t = Hz/K = 1, here Hzis the transverse field along the z-axis and K is the coupling strength, which corresponds to quantum ferromagnetic-paramagnetic phase transition. In other words, the same result of the sophisticated quantum field theoretical calculation is predicted unexpectedly in the naive semiclassical picture.