This paper presents a low-energy asynchronous interleaver for clockless fully parallel low-density parity-check (LDPC) decoding. The proposed data-transmission circuit based on a half-duplex single-track protocol makes it possible to realize a wire-efficient asynchronous interleaver with small energy consumption. Moreover, a data-monitoring system adaptively shuts down the asynchronous data-transmission circuit if not necessary, which reduces the number of data transmissions and, hence, the energy consumed. The clockless decoder with the proposed asynchronous interleaver is evaluated using a (1056,528) irregular LDPC code under a 90-nm CMOS process. As a result, the energy dissipation per uncoded bit at of 5 dB becomes 54 pJ/bit with an uncoded throughput of 45.5 Gbps under a postlayout simulation. This represents a 92% decrease in energy per bit and a 1143% in throughput increase with respect to our previous clockless LDPC decoder.