Spin-charge separated quasiparticles in one dimensional quantum fluids

Abstract

We revisit the problem of dynamical response in spin-charge separated one dimensional quantum fluids. In the framework of Luttinger liquid theory, the dynamical response is formulated in terms of noninteracting bosonic collective excitations carrying either charge or spin. We argue that, as a result of spectral nonlinearity, long-lived excitations are best understood in terms of generally strongly interacting fermionic holons and spinons. This has far reaching ramifications for the construction of mobile impurity models used to determine threshold singularities in response functions. We formulate and solve the appropriate mobile impurity model describing the spinon threshold in the single-particle Green's function. Our formulation further raises the question whether it is possible to realize a model of noninteracting fermionic holons and spinons in microscopic lattice models of interacting spinful fermions. We investigate this issue in some detail by means of density matrix renormalization group (DMRG) computations.

27 pages, 7 figures

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• Finite temperature dynamics of the Mott insulating Hubbard chain
• The spectral function of the Tomonaga-Luttinger model revisited: power laws and universality
• Ising tricriticality in the extended Hubbard model with bond dimerization
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• Optical conductivity of the Hubbard chain away from half filling
• Mobile impurity approach to the optical conductivity in the Hubbard chain
• Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange
• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Tunneling spectroscopy of the spinon-Kondo effect in one-dimensional Mott insulators
• Nonlinear effects on charge fractionalization in critical chains
• From Luttinger liquids to Luttinger droplets via higher-order bosonization identities
• Quasi-Fermi liquid behavior in a one-dimensional system of interacting spinless fermions
• Possibility of hole confinement in the weak coupling regime of one dimensional ising antiferromagnet and the emergence of spin-charge separation in the bulk limit
• Decoherence of charge density waves in beam splitters for interacting quantum wires
• Emergent dipole field theory in atomic ladders