A Monte-Carlo study of SU(2) gauge-Higgs theory for cuprate superconductors

Guilherme Catumba¹, Atsuki Hiraguchi², George W.-S. Hou³, Karl Jansen⁴, Ying-Jer Kao^3,5, C.-J. David Lin^2,6,7,8, Alberto Ramos¹, Mugdha Sarkar^3,8*

¹Instituto de Física Corpuscular (IFIC), CSIC-Universitat de Valencia, Valencia 46071, Spain
²Institute of Physics, National Yang Ming Chiao Tung University, Hsinchu 30010, Taiwan
³Department of Physics, National Taiwan University, Taipei 10617, Taiwan
⁴Deutsches Elektronen-Synchrotron DESY, Zeuthen 15738, Germany
⁵Center for Theoretical Physics and Center for Quantum Science and Technology, National Taiwan University, Taipei 10607, Taiwan
⁶Center for High Energy Physics, Chung-Yuan Christian University, Chung-Li 32023, Taiwan
⁷Centre for Theoretical and Computational Physics, National Yang Ming Chiao Tung University, Hsinchu 30010, Taiwan
⁸Physics Division, National Centre for Theoretical Sciences, Taipei 10617, Taiwan

* Presenter:Mugdha Sarkar, email:mugdha.sarkar@phys.ncts.ntu.edu.tw

We study a SU(2) gauge theory with multiple Higgs fields which transform under the adjoint representation of SU(2), that has been recently proposed by Sachdev et al to explain the physics of cuprate superconductors near optimal doping. We employ Hybrid Monte Carlo, a technique commonly used in lattice gauge theory community, to study the phase diagram of the theory with 4 adjoint Higgs fields. The symmetric confining phase of the theory corresponds to the normal Fermi-liquid phase while the broken (Higgs) phase is associated with the interesting pseudogap phase of cuprates.

Keywords: Cuprate superconductors, SU(2) Gauge-Higgs theory, Monte Carlo simulations