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تسجيل مستخدم جديدProtection of helical transport in Quantum Spin Hall samples: the role of symmetries on edges
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Time-reversal invariant two-dimensional topological insulators, often dubbed Quantum Spin Hall systems, possess helical edge modes whose ballistic transport is protected by physical symmetries. We argue that, though the time-reversal symmetry (TRS) of the bulk is needed for the existence of helicity, protection of the helical transport is actually provided by the spin conservation on the edges. This general statement is illustrated by specific examples. One example demonstrates the ballistic conductance in the setup where the TRS on the edge is broken. It shows that attributing the symmetry protection exclusively to the TRS is not entirely correct. Another example reveals weakness of the protection in the case where helical transport is governed by a space-fluctuating spin-orbit interaction. Our results demonstrate the fundamental importance of the spin conservation analysis for the identification of mechanisms which may (or may not) lead to suppression of the ballistic helical transport.
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