  We study a one-dimensional chain of corner-sharing triangles with
antiferromagnetic Ising interactions along its bonds. Classically, this system
is highly frustrated with an extensive entropy at T = 0 and exponentially
decaying spin correlations. We show that the introduction of a quantum
dynmamics via a transverse magnetic field removes the entropy and opens a gap,
but leaves the ground state disordered at all values of the transverse field,
thereby providing an analog of the "disorder by disorder" scenario first
proposed by Anderson and Fazekas in their search for resonating valence bond
states. Our conclusion relies on exact diagonalization calculations as well as
on the analysis of a 14th order series expansion about the large transverse
field limit. This test suggests that the series method could be used to search
for other instances of quantum disordered states in frustrated transverse field
magnets in higher dimensions.
