Strong-Coupling Behavior of Two $t-J$ Chains with Interchain Single Electron Hopping

TL;DR

This paper investigates the strong-coupling behavior of two coupled t-J chains with interchain electron hopping, revealing how such coupling affects correlation functions and Green functions through bosonization and spin-charge separation.

Contribution

It generalizes the Luther-Emery line to two coupled t-J chains and explicitly calculates correlation functions at a strong-coupling fixed point.

Findings

Interchain hopping alters asymptotic behavior of correlation functions.

Exponents of correlation functions are independent of coupling strength.

Charge dynamics are trivially solvable after spin-charge separation.

Abstract

Using the fermion-spin transformation to implement spin-charge separation of constrained electrons, a model of two $t-J$ chains with interchain single-electron hopping is studied by abelian bosonization. After spin-charge decoupling the charge dynamics can be trivially solved, while the spin dynamics is determined by a strong-coupling fixed point where the correlation functions can be calculated explicitly. This is a generalization of the Luther-Emery line for two-coupled $t-J$ chains. The interchain single-electron hopping changes the asymptotic behavior of the interchain spin-spin correlation functions and the electron Green function, but their exponents are independent of the coupling strength.