Role of Disorder Induced by Doping on the Thermoelectric
Properties of Semiconducting Polymers
Elayne M. Thomas,
‡
Bhooshan C. Popere,
§,⊥
Haiyu Fang,
§
Michael L. Chabinyc,*
,‡
and Rachel A. Segalman*
,‡,§
‡
Materials Department, University of California, Santa Barbara, Santa Barbara, California 93106, United States
§
Department of Chemical Engineering, University of California, Santa Barbara, Santa Barbara, California 93106, United States
* S Supporting Information
ABSTRACT: A fundamental understanding of charge trans-
port in polymeric semiconductors requires knowledge of how
the electrical conductivity varies with carrier density. The
thermopower of semiconducting polymers is also a complex
function of carrier density making it difficult to assess
structure−property relationships for the thermoelectric power
factor. We examined the thermoelectric properties of poly[2,5-
bis(3-tetradecylthiophen-2-yl)thieno[3,2- b ]thiophene]
(pBTTT-C
14
) by measurements of an electrochemical
transistor using a polymeric ionic liquid (PIL) gate dielectric
that can modulate the carrier concentration from 4 × 10
18
to 3
× 10
20
cm
−3
. As carrier density increases, so does the
concentration of associated counterions, leading to a greater
degree of energetic disorder within the semiconductor. Using
thermopower measurements, we show experimentally that the electronic density-of-states broadens with increasing carrier
density in the semiconducting polymer. The origin of a commonly observed power law relationship between thermopower and
electrical conductivity is discussed and related to the changes in the electronic density-of-states upon doping.
■
INTRODUCTION
Doping is an important process for controlling the electrical
properties of semiconductors.
1
In contrast to the substitution of
atomic donors or acceptors into inorganic semiconductors, a
common method to modify the carrier concentration in
semiconducting polymers is to introduce electron-deficient
(or electron-rich) molecules, usually from solution or from the
vapor phase, to oxidize (or reduce) the polymer backbone.
2,3
In
this case, the dopant molecule, now ionized, is the counterion
to the charged backbone. Protonating the polymer backbone
with a Brö nsted acid provides a similar effect with the proton
donor acting as the counterion.
4
Alternatively, electrochemical
methods can be used to supply or remove electrons but
frequently require the polymer to be supported on a conductive
substrate. Addition of dopants, or counterions, can increase the
concentration of charge carriers in the polymer but
concomitantly increase energetic disorder within the material
due to structural perturbations.
Emerging applications for semiconducting polymers includ-
ing thermoelectrics
5
and bioelectronics
6
rely on tuning the
conductivity by either molecular or electrochemical doping.
Here, we examine how changes in the electronic density-of-
states (DOS) of a semiconducting polymer occur during
electrochemical doping. By using an electrochemical transistor
(OECT), we measured the changes in conductivity and
thermopower of poly[2,5-bis(3-tetradecylthiophen-2-yl)thieno-
[3,2-b]thiophene] (pBTTT-C
14
) as a function of carrier
concentration. Controlling charge density provides a way to
develop robust transport models for doped organic semi-
conductors and guide new materials design.
Studying the thermoelectric behavior in semiconducting
polymers is one route to understand their transport properties
and changes in the DOS upon doping. The carrier
concentration, p, contributes to the physical properties of the
semiconductor that determine its thermoelectric performance,
including thermopower (α), electrical conductivity (σ), and
thermal conductivity (κ). The general equation for thermo-
power is defined in eq 1 where df(E)/dE = −f(E)(1 − f(E))/
k
B
T is the derivative of the Fermi−Dirac function f(E), E
F
is the
Fermi energy, and σ(E) is a transport function of electrical
conductivity with energy.
∫
α
σ
σ
=−
− k
e
E E
kT
E fE
E
E
()d()
d
d
B F
B
(1)
If transport is mostly dominated by carriers around the Fermi
level, thermopower can be rewritten as eq 2.
7
Received: January 26, 2018
Revised: April 9, 2018
Article
pubs.acs.org/cm
Cite This: Chem. Mater. XXXX, XXX, XXX-XXX
© XXXX American Chemical Society A DOI: 10.1021/acs.chemmater.8b00394
Chem. Mater. XXXX, XXX, XXX−XXX