Breakdown of Luttinger liquid state in one-dimensional frustrated spinless fermion model

Abstract

Haldane hypothesis about the universality of Luttinger liquid (LL) behavior in conducting one-dimensional (1D) fermion systems is checked numerically for spinless fermion model with next-nearest-neighbor interactions. It is shown that for large enough interactions the ground state can be gapless (metallic) due to frustrations but not be LL. The exponents of correlation functions for this unusual conducting state are found numerically by finite-size method.

3 pages, 4 figures, RevTex

Cited by in corpus (13)

• Variational Quantum Eigensolver for Frustrated Quantum Systems
• Stochastic Cluster Series expansion for quantum spin systems
• Luttinger liquid physics from infinite-system DMRG
• Spinless fermion model on diamond chain
• One-dimensional spinless fermion model with competing interactions beyond half-filling
• Certified variational quantum algorithms for eigenstate preparation
• Phase Diagram of the $t$--$U$--$V_1$--$V_2$ Model at Quarter Filling
• Pairing in spin chains and spinless fermions with next-nearest neighbour interactions
• Two-fluid coexistence and phase separation in a one dimensional model with pair hopping and density interactions
• Interaction distance in the extended XXZ model
• Phase diagram of the $Cu{O}_3$ chains in $YB{a}_{2}C{u}_3{O}_{6+X}$ and $PrB{a}_{2}C{u}_3{O}_{6+X}$
• Fermionic phases and their transitions induced by competing finite-range interactions
• Lee-Yang formalism for phase transitions of interacting fermions using tensor networks