Published date: Mar 27 2024

Journal Title: KnE Life Sciences

Issue title: International Conference On Mathematics And Science Education (ICMScE 2022): Life Sciences

Pages: 15–21

DOI: 10.18502/kls.v8i1.15388

Samuel Juliardi Sinagasamuel.sinaga@uhn.ac.idMathematical Education Study Program, Fakultas Keguruan dan Ilmu Pendidikan Universitas HKBP Nommensen Pematangsiantar, Jl. Sangnawaluh, No.4, Pematangsiantar 21136, Indonesia

Nadrah .Physics Education Study Program, Universitas Muhammadiyah Makassar, Jl. Sultan Alauddin No.259, Gunung Sari, Kec. Rappocini, Kota Makassar, Sulawesi Selatan 90221, Indonesia

Rizki AnandaElementary School Teacher Education Study Program, Jl. Tuanku Tambusai No. 23, Bangkinang, Kec. Bangkinang, Kampar Regency, Riau 28412, Indonesia

Misbah MisbahPhysics Education Study Program, Universitas Lambung Mangkurat, Jl. Brigjen Jalan Hasan Basri, Pangeran, Kec. Banjarmasin Utara, Kota Banjarmasin, Kalimantan Selatan 70123, Indonesia

Nurlaela MuhammadPhysics Education Study Program, Universitas Khairun, Ternate, Maluku Utara, Indonesia

Ruben Cornelius SiagianDepartment of Physics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Medan, Jl. William Iskandar Ps. V, No.104, Medan 20371, Indonesia

Kevin William Andri SiahaanChemistry Education Study Program, Faculty of Teacher Training and Education, Universitas HKBP Nommensen Pematangsiantar Jl. Sangnawaluh, No. 4, Pematangsiantar 21136, Indonesia

Froilan D MoboInternational Human Rights Movement Philippines, Philippines

Topological Quantum Field Theory or TQFT is a quantum field theory that calculates topological invariance in measurement theory and mathematical physics. In recent years, several attempts have been made to find efficient observations to determine the TQFT of quasiparticle properties. In this paper, we propose a different and very effective way to detect the critical points of TQFT by considering the system functions. We suggest the C-Function as a novel probe that is accurate for detecting the location of critical points on topological quantum. The C-function uses a holographic model to show a topological quantum phase transition between a simple topological isolation phase and a gapless Weyl semimetal. The quantum tipping point displays a strong Lifshitz-like anisotropy in the spatial direction, and a quantum phase transition that does not follow the standard Landau paradigm. The C-function precisely shows the global features of quantum criticality and distinguishes very accurately between two separate zero-temperature phases. Considering the C-function relationship with entanglement entropy can detect quantum phase transitions and can be applied outside the holographic framework.

Keywords: quantum topologic, phase transitions, c-function

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