Magnetic phases of the anisotropic triangular lattice Hubbard model

The Hubbard model on an anisotropic triangular lattice in two dimensions, a fundamental model for frustrated electron physics, displays a wide variety of phases and phase transitions. This work investigates the model using the ladder dual fermion approximation which captures local correlations nonperturbatively but approximates nonlocal correlations. We find metallic, one-dimensional antiferromagnetic, noncollinear antiferromagnetic, square-lattice antiferromagnetic, and spiral phases but no evidence of collinear antiferromagnetic order in different parts of the phase diagram. Analyzing the spin susceptibility in detail, we see both regions of agreement and of discrepancy with previous work. The case of ${\mathrm{Cs}}₂{\mathrm{CuCl}}₄$ is discussed in detail.