A Fermi-liquid (FL) with spin-orbit coupling (SOC) supports a special type of collective modeschiral spin waves-which are oscillations of magnetization even in the absence of the external magnetic field. We study the chiral spin waves of a two-dimensional FL in the presence of both the Rashba and Dresselhaus types of SOC and also subject to the in-plane magnetic field. We map the system of coupled kinetic equations for the angular harmonics of the occupation number onto an effective one-dimensional tight-binding model, in which the lattice sites correspond to angular-momentum channels. Linear-in-momentum SOC ensures that the effective tight-binding model has only nearestneighbor hopping on a bipartite lattice. In this language, the continuum of spin-flip particle-hole excitations becomes a conduction band of the lattice model, whereas electron-electron interaction, parameterized by the harmonics of the Landau function, is mapped onto lattice defects of both on-site and bond type. Collective modes correspond to bound states formed by such defects. All the features of the collective-mode spectrum receive natural explanation in the lattice picture as resulting from the competition between on-site and bond defects. PACS numbers: 73.21.-b,78.40.-q,71.70.Ej arXiv:1701.02781v3 [cond-mat.mes-hall] 13 Jan 2017 #1 J' 2 #2 J J #2 #1 0 1 2 ! " J J J J J' 0 1 #1 J' 2 #2 J J c) 0 1 #1 t' 2 #2 J J ! " t t t' 0 1 #1 J 2 #2 J J ! # ! #