IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v597y2022ics037843712200245x.html
   My bibliography  Save this article

Thermodynamics and correlations featured quantum criticality of transverse-field Ising model with off-diagonal exchange interactions

Author

Listed:
  • Ding, L.J.
  • Xiang, L.
  • Zhong, Y.

Abstract

We study the quantum phase transitions (QPTs) and quantum criticality of transverse-field Ising model with off-diagonal exchange interactions. In the absence of magnetic field, the clockwise spiral (CWS), counterclockwise spiral (CCWS) and longitudinal ferromagnetic (xFM) phases are revealed by the spin chirality vector κz and longitudinal spin–spin correlation Cxx mutually. The general QPT is diagnosed by the temperature power-law divergence of Grüneisen ratio (GR) Γ∼±T−1. The critical scaling is further done to capture the quantum critical point (QCP) by analyzing κz and specific heat, which offers a direct access to distill the critical exponents (δ, β, α) that fulfill the Essam–Fisher relation α+β(1+δ)=2, providing a new clue to detect the general QPT. Subsequently, some scaling hypothesis equations are proposed to check the scaling analysis. In a magnetic field, an additional field-induced transverse ferromagnetic (zFM) phase is unveiled. Specifically, for the xFM phase transition into zFM one, the transverse-field Ising terms predominates, which approximately keeps the Z2 symmetry at hc=1, giving rise to the self-dual quantum criticality, demonstrated by the constant of GR irrelevant of temperature. Furthermore, the gapped and gapless low-lying excitations of quantum phases are manifested by the thermal Drude weight and specific heat.

Suggested Citation

  • Ding, L.J. & Xiang, L. & Zhong, Y., 2022. "Thermodynamics and correlations featured quantum criticality of transverse-field Ising model with off-diagonal exchange interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    • Handle: RePEc:eee:phsmap:v:597:y:2022:i:c:s037843712200245x
    DOI: 10.1016/j.physa.2022.127293
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843712200245X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.127293?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Liu, Zi-An & Dong, Yu-Li & Wu, Ning & Wang, Yimin & You, Wen-Long, 2021. "Quantum criticality and correlations in the Ising-Gamma chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 579(C).
    2. Irénée Frérot & Tommaso Roscilde, 2019. "Reconstructing the quantum critical fan of strongly correlated systems using quantum correlations," Nature Communications, Nature, vol. 10(1), pages 1-7, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ding, L.J. & Xiang, Y.X., 2023. "Thermodynamic signature of topological quantum phase transition in a two-leg Kitaev ladder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:597:y:2022:i:c:s037843712200245x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.