A Field Theory for Fermionic Ladder with Generic Intrachain Interactions

Abstract

An effective low energy field theory is developed for a system of two chains. The main novelty of the approach is that it allows to treat generic intrachain repulsive interactions of arbitrary strength. The chains are coupled by a direct tunneling and four-fermion interactions. At low energies the individual chains are described as Luttinger liquids with an arbitrary ratio of spin $v_s$ and charge $v_c$ velocities. A judicious choice of the basis for the decoupled chains greatly simplifies the description and allows one to separate high and low energy degrees of freedom. In a direct analogy to the bulk cuprates the resulting effective field theory distinguishes between three qualitatively different regimes: (i) small doping ($v_c<<v_s$), (ii) optimal doping ($v_s\approx v_c$) and (iii) large doping ($v_s<<v_c$). I discuss the excitation spectrum and derive expressions for the electron spectral function which turns out to be highly incoherent. The degree of incoherence increases when one considers an array of ladders (stripe phase).

32 pages, 4 figures. A section explaining adiabatic approximation is modified. Typos corrected

References in corpus (10)

• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Antiphase Stripe Order as the Origin of Electron Pockets Observed in 1/8-Hole-Doped Cuprates
• Effective theory of Fermi pockets in fluctuating antiferromagnets
• Diamagnetism of doped two-leg ladders and probing the nature of their commensurate phases
• High-energy magnetic excitations from dynamic stripes in LBCO (x=1/8)
• Orbital currents and charge density waves in a generalized Hubbard ladder
• Doped two-leg ladder with ring exchange
• Modelling Magnetic Fluctuations in the Stripe Ordered State
• Pair Density Waves in coupled doped two-leg Ladders

Cited by in corpus (20)

• Cuprate superconductors as viewed through a striped lens
• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
• The ladder physics in the Spin Fermion model
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
• Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials
• Incoherent Soliton Excitations and Spin-Charge Separation in Blue Bronze
• Finite wave vector pairing in doped two-leg ladders
• Intrinsic translational symmetry breaking in a doped Mott insulator
• Breakdown of the Bloch-wave behavior for a single hole in a gapped antiferromagnet
• Ground-state and spectral properties of an asymmetric Hubbard ladder
• Parafermion excitations in superfluid of quasi-molecular chains
• Superconductor-Insulator Magneto-Oscillations in Superconducting Strips
• Topological Doping and Superconductivity in Cuprates: An Experimental Perspective
• Alternating Superconductor--Insulator Transport Characteristics in a Quantum Vortex Chain
• One-dimensional physics in transition-metal nanowires: Renormalization group and bosonization analysis
• Hole Dispersions for Antiferromagnetic Spin-1/2 Two-Leg Ladders by Self-Similar Continuous Unitary Transformations
• Ward Identities and chiral anomalies for coupled fermionic chains
• One-dimensional physics in transition-metal nanowires: Phases and elementary excitations
• A model description of the supersolid state in YBCO