Abstract
The spiral boundary conditions can project any two-dimensional or three-dimensional lattice onto a one-dimensional periodic chain with translational symmetry. It enables one to apply efficiently the existing one-dimensional techniques, such as density-matrix renormalization group (DMRG), bosonization, Jordan-Wigner transformation, etc., to studies of lattice systems in higher dimensions. Here, the authors demonstrate the utility of spiral boundary conditions by performing analytical and DMRG calculations for square and honeycomb lattice problems. Thus, the spiral boundary conditions emerge as a principal option in condensed matter physics.
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