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We have studied single-electron transistors with island lengths of 2, 10, 20, 30, and 40 m and with high-resistance tunnel junctions to minimize the effects of cotunneling and electron self-heating. With longer islands, there is a marked reduction of the gate modulation of the Coulomb blockade width. According to orthodox theory, the width of the Coulomb blockade at Tϭ0 is equal to e/C ⌺ , and it falls approximately exponentially with k B T/E c , where E c ϭe 2 /2C ⌺ , and C ⌺ is the totaldoi:10.1103/physrevb.57.4591 fatcat:abltg4iutzh53bgzklkqfiqlqa