Bosonization of strongly interacting electrons

Abstract

Strong repulsive interactions in a one-dimensional electron system suppress the exchange coupling J of electron spins to a value much smaller than the Fermi energy E_F. The conventional theoretical description of such systems based on the bosonization approach and the concept of Tomonaga-Luttinger liquid is applicable only at energies below J. In this paper we develop a theoretical approach valid at all energies below the Fermi energy, including a broad range of energies between J and E_F. The method involves bosonization of the charge degrees of freedom, while the spin excitations are treated exactly. We use this technique to calculate the spectral functions of strongly interacting electron systems at energies in the range J<<epsilon<< E_F$. We show that in addition to the expected features at the wavevector k near the Fermi point k_F, the spectral function has a strong peak centered at k=0. Our theory also provides analytical description of the spectral function singularities near 3k_F (the "shadow band" features).

21 pages, 4 figures

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Cited by in corpus (23)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Wigner crystal physics in quantum wires
• Imaging gate-tunable Tomonaga-Luttinger liquids in 1H-MoSe${}_2$ mirror twin boundaries
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• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• Spectral functions of strongly interacting isospin-1/2 bosons in one dimension
• Dynamical properties of the one-dimensional spin-1/2 Bose-Hubbard model near Mott-insulator to ferromagnetic liquid transition
• Fractional Wigner crystal in the helical Luttinger liquid
• Spin, charge and $\eta$-spin separation in one-dimensional photo-doped Mott insulators
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
• Theory of the STM detection of Wigner molecules in spin incoherent CNTs
• Helical gaps in interacting Rashba wires at low electron densities
• Spectral functions of two-band spinless fermion and single-band spin-1/2 fermion models
• Towards a phase diagram of the topologically frustrated XY chain
• Nature of Spinons in 1D Spin Chains
• Charging a Dimerized Quantum XY Chain
• Singular responses of spin-incoherent Luttinger liquids
• Dimensional reduction of the Luttinger-Ward functional for spin-degenerate $D$-dimensional electron gases
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors
• Counting interacting electrons in one dimension
• Tunneling spectroscopy of the spinon-Kondo effect in one-dimensional Mott insulators
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
• Kondo dynamics in one-dimensional doped ferromagnetic insulators