Renormalization-Group Approach to a Three-Legs Fermionic Ladder

Abstract

We study the spin and charge phase diagram of a three-legs ladder (at zero temperature) as a function of fermion density and of transverse single-particle hopping by means of a Renormalization-Group analysis rigorously controlled in the weak-coupling limit. Periodic boundary conditions in the direction transverse to the ladder produce frustrated magnetic excitations yielding a spin-gapped phase in a large region about and at half filling. Spin correlations are instead enhanced when open transverse boundary conditions are considered, yielding an ungapped phase in a wide region about half filling (as observed in the Sr${}_{n-1}$Cu${}_{n+1}$O${}_{2n}$ stripes compounds) and at half filling down to a critical value of the transverse hopping $t_{\perp }$. At that critical value, the system undergoes a Mott transition at half filling by decreasing $t_{\perp }$.

Final version

References in corpus (1)

• Resonating Valence Bond Theory of Coupled Heisenberg Chains

Cited by in corpus (31)

• Magnetization Plateaux in N-Leg Spin Ladders
• The N-chain Hubbard Model in Weak Coupling
• Theoretical analysis on the possibility of superconductivity in a trilayer Ruddlesden-Popper nickelate La${}_4$Ni${}_3$O${}_{10}$ under pressure and its experimental examination: comparison with La${}_3$Ni${}_2$O${}_7$
• Three-leg Antiferromagnetic Heisenberg Ladder with Frustrated Boundary Condition; Ground State Properties
• Quantum phase transitions of the asymmetric three-leg spin tube
• Ground State Properties of the Doped 3-Leg t-J Ladder
• Formation of Molecular-Orbital Bands in a Twisted Hubbard Tube: Implications for Unconventional Superconductivity in K2Cr3As3
• Hubbard ladders at small $U$ revisited
• Effective actions for spin ladders
• Quantum spin nanotubes -- frustration, competing orders and criticalities
• Successive opening of the Fermi surface in doped N-leg Hubbard ladders
• The optimal inhomogeneity for superconductivity
• Lightly Doped t-J Three-Leg Ladders - an Analog for the Underdoped Cuprates
• Wide applicability of high $T_c$ pairing originating from coexisting wide and incipient narrow bands in quasi one dimension
• Correlation functions in the three-chain Hubbard ladder
• Crossover to Fermi-liquid behavior for weakly-coupled Luttinger liquids in the anisotropic large-dimension limit
• New Chiral Universality Class in a Frustrated Three-Leg Spin Ladder
• Possible high-$T_c$ superconductivity due to incipient narrow bands originating from hidden ladders in Ruddlesden-Popper compounds
• A consistent description of the pairing symmetry in hole and electron doped cuprates within the two dimensional Hubbard model
• Gauge Theory Description of Spin Ladders
• Pairing correlation in the two- and three-leg Hubbard ladders --- Renormalization and quantum Monte Carlo studies
• Superconducting instability in 3 band metallic nanotubes
• Renormalization group analysis for the quasi-1D superconductor BaFe${}_2$S${}_3$
• Chirally Stabilized Critical State in Marginally Coupled Spin and Doped Systems
• Superconductivity in the three-leg Hubbard ladder: a Quantum Monte Carlo study
• Generic short-range interactions in two-leg ladders
• Electron transport in coupled chains of interacting fermions with impurities
• Low-energy excitations in 2-leg and 3-leg quantum spin ladders
• From nodal liquid to nodal Mottness in a frustrated Hubbard model
• Competing phases and critical behavior in three coupled spinless Luttinger liquids
• Electronic states in correlated three-coupled chains