Threshold singularities in the dynamic response of gapless integrable models

Abstract

We develop a method of an asymptotically exact treatment of threshold singularities in dynamic response functions of gapless integrable models. The method utilizes the integrability to recast the original problem in terms of the low-energy properties of a certain deformed Hamiltonian. The deformed Hamiltonian is local, hence it can be analysed using the conventional field theory methods. We apply the technique to spinless fermions on a lattice with nearest-neighbors repulsion, and evaluate the exponent characterizing the threshold singularity in the dynamic structure factor.

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Cited by in corpus (35)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Universal theory of nonlinear Luttinger liquids
• Form factor approach to dynamical correlation functions in critical models
• Spectral function of spinless fermions on a one-dimensional lattice
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• Nonuniversal prefactors in correlation functions of 1D quantum liquids
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Threshold Singularities in the One Dimensional Hubbard Model
• Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model
• Scattering of hole excitations in a one-dimensional spinless quantum liquid
• Dynamic and static density-density correlations in the one-dimensional Bose gas: exact results and approximations
• Dynamical properties of the one-dimensional spin-1/2 Bose-Hubbard model near Mott-insulator to ferromagnetic liquid transition
• Photo-Solitonic Effect
• Successes and failures of Bethe Ansatz Density Functional Theory
• Exact Form-Factor Results for the Longitudinal Structure Factor of the Massless XXZ Model in Zero Field
• Real-time dynamics in the one-dimensional Hubbard model
• Tracking the effects of interactions on spinons in gapless Heisenberg chains
• Spin-charge separated quasiparticles in one dimensional quantum fluids
• Long time correlations of nonlinear Luttinger liquids
• Dynamic structure factor of Luttinger liquids with quadratic energy dispersion and long-range interactions
• Spectrum of elementary excitations in Galilean-invariant integrable models
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain
• Current Density Functional Theory for one-dimensional fermions
• Exact results of dynamical structure factor of Lieb-Liniger model
• Mobile impurity approach to the optical conductivity in the Hubbard chain
• The dynamic structure factor in impurity-doped spin chains
• Mobile impurities in integrable models
• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• The interaction energy of the particle-hole pair in the XXZ-spin chain
• Threshold singularities in the XXZ- spin chain
• Nonlinear effects on charge fractionalization in critical chains
• Functional Renormalization Group for fermions on a one dimensional lattice at arbitrary filling