A nonperturbative study of phase transitions in the multi-frequency sine-Gordon model

Abstract

The phase spaces of the two- and three-frequency sine-Gordon models are examined in the framework of truncated conformal space approach. The focus is mainly on a tricritical point in the phase space of the three-frequency model. We give substantial evidence that this point exists. We also find the critical line in the phase space and present TCSA data showing the change of the spectrum on the critical line as the tricritical endpoint is approached. We find a few points of the line of first order transition as well.

26 pages, LaTeX, minor modification

Cited by in corpus (17)

• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Characterization of resonances using finite size effects
• Double sine-Gordon model revisited
• Particle spectrum of the 3-state Potts field theory: a numerical study
• Ising tricriticality in the extended Hubbard model with bond dimerization
• On the renormalization of the bosonized multi-flavor Schwinger model
• Non-Topological Majorana Zero Modes in Inhomogeneous Spin Ladders
• The particle spectrum of the Tricritical Ising Model with spin reversal symmetric perturbations
• Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory
• A study of truncation effects in boundary flows of the Ising model on a strip
• Phase Structure and Compactness
• Quantum simulation of the tricritical Ising model in tunable Josephson junction ladders
• Majorana zero mode-soliton duality and in-gap and BIC bound states in modified Toda model coupled to fermion
• Ergodicity breaking and deviation from Eigenstate Thermalisation in relativistic QFT
• Quantum phase transitions in trimerized zig-zag spin ladders
• Spin-Peierls-like phases in magnetoelastic $J_1-J_2$ antiferromagnetic chain at 1/3 magnetization
• Coexisting orders in the quarter-filled Hubbard chain with elastic deformations