SUPERSCREENING AND POLARIZATION CONTROL IN CONFINED FERROELECTRIC NEMATIC LIQUIDS Federico Caimi1 Giovanni Nava1 Susanna Fuschetto1 Liana Lucchetti2 Petra Paiè3 Roberto Osellame4 Xi Chen5

2025-05-02 0 0 5.89MB 12 页 10玖币
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SUPERSCREENING AND POLARIZATION CONTROL IN CONFINED
FERROELECTRIC NEMATIC LIQUIDS
Federico Caimi1, Giovanni Nava1, Susanna Fuschetto1, Liana Lucchetti2, Petra Paiè3, Roberto Osellame4, Xi Chen5,
Noel A. Clark5, Matthew Glaser5*, and Tommaso Bellini1*
1Dept. of Medical Biotechnology and Translational Medicine, University of Milano, Italy
2SIMAU Dept., Università Politecnica delle Marche, Ancona, Italy
3Dipartimento di Fisica, Politecnico di Milano, Milano, Italy
4Istituto di Fotonica e Nanotecnologie, Consiglio Nazionale delle Ricerche (IFN-CNR), Milano, Italy
5Dept. of Physics, Soft Materials Research Center, University of Colorado, Boulder, CO, USA
ABSTRACT
The combination of large spontaneous polarization and fluidity makes the newly discovered ferroelec-
tric nematic liquid crystalline phase (N
F
) responsive to electric fields in ways that have no counterpart
in other materials. We probe this sensitive field response by confining a N
F
fluid in microchannels
that connect electrodes through straight and curved paths. We find that by applying electric fields
as low as E
0.5 V/mm, the N
F
phase orders with its polarization smoothly following the winding
paths of the channels even when oriented antiparallel to the line connecting positive to negative
electrodes, implying analogous behavior of the electric field. Upon inversion of E, the polar order
undergoes a complex multistage switching process dominated by electrostatic interactions. Multistage
polarization switching dynamics is also found in numerical simulations of a quasi-2D continuum
model of N
F
liquid crystals in microchannels, which also clarify the conditions under which the
electric field is guided by the microchannels. Experiments and theory indicate that all observations
are direct consequences of the prompt effective screening of electric field components normal to the
channel walls. This electric “superscreening” effect emerges as a distinctive property of the N
F
phase,
capable of inducing conditions in which both the polarization and the electric field are guided by
microchannels.
The discovery of molecules capable of ordering into a ferroelectric nematic (N
F
) liquid crystal (LC), a state predicted
a century ago [
1
,
2
,
3
] but only recently observed [
4
,
5
,
6
,
7
], has attracted immediate interest because of the novel
properties of this new fluid state, involving its electric behavior, its elasticity, and its non-linear susceptibilities
[
8
,
9
,
10
,
11
,
12
,
13
]. Conventional nematic LCs are non-polar anisotropic fluids, in which molecules partially align
along a common axis, the so-called nematic director
n
. In the N
F
phase, a bulk electric polarization density
P
develops
parallel to
n
through a weak first order phase transition. Molecules found to give rise to N
F
ordering have large
permanent electric dipoles (
>10
D) and a high degree of polar orientational order, resulting in a large ferroelectric
polarization, up to P0=|P| ≈ 6µC/cm2[6, 14, 15].
The presence of a bulk polarization field that is readily reoriented makes the electric field response of (N
F
) markedly
different from the dielectric response of conventional nematics, in ways that have yet to be fully explored. Because of
the dielectric anisotropy of conventional nematics, the electric field (
E
) has a tensorial coupling to
n
, producing torques
on the director proportional to
E2
, and of a magnitude comparable to the orientational elasticity. In the N
F
phase the
presence of a bulk polarization gives rise to a dipolar coupling to
E
and self-interaction of space charges arising from
divergence of the polarization, producing electric torques orders of magnitude larger. Indeed, because of the fluidity of
matthew.glaser@colorado.edu
tommaso.bellini@unimi.it
arXiv:2210.00886v1 [cond-mat.soft] 3 Oct 2022
Superscreening and polarization control in confined ferroelectric nematic liquids
the N
F
phase, the orientation of
P
is a Goldstone variable with energetics dominated by electrostatics, with nematic
elasticity and surface anchoring playing a minor role. The unconstrained rotation of
P
is affected only by the weak
elasticity arising from its non-uniform orientation and by the self-interaction caused by electrostatic forces arising from
polarization space charge at surfaces (
σP=P·u
,
u
being the unit vector normal to a limiting surface of N
F
) and in the
bulk (ρP=−∇ · P).
All these factors combine to create a fundamentally new kind of fluid, markedly different from conventional nematic
LCs and from solid ferroelectric materials, whose polarization, intrinsically constrained by the symmetry of the crystal
unit cell, is typically limited to a set of easy axis orientations. In this work we explore the interplay of external fields,
geometry, and electrostatic self-interaction N
F
fluids confined within straight and bent microchannels. Indeed, because
of its spontaneous bulk polarization, a ferroelectric nematic fluid confined to a channel should, in the absence of
external electric fields and other couplings, align with
n
along the channel to minimize the overall electrostatic energy,
a behavior with intriguing implications in the case of bent channels.
Description of the experiment
We have produced, via femtosecond laser micromachining assisted by chemical etching [
16
,
17
], microchannels
buried in monolithic fused silica that connect gold wire electrodes. The channels, shown in Fig. 1a-b, are all of length
`1 mm
and have a rounded square cross-section of width
w35 µm
. Four different shapes are produced: straight
along the x-axis direction connecting the electrodes (I-shaped channel), with the central part bent with respect to the
x-axis of
90
(L-shaped channel),
135
(Z-shaped channel) and
180
(S-shaped channel) (see Fig. 1b). The channels
were filled with RM734, a liquid crystal material that exhibits nematic (N) and ferroelectric nematic (N
F
) phases [
4
,
6
],
with the N–N
F
transition temperature
TNNF133C
. Prior to filling, the glass channel surfaces were silanized
with hexadecyltrimethoxysilane (HDTMS) to favor planar orientation of RM734 [
18
]. A detailed description of the
fabrication process is given into the SI section.
Response to static fields
In the absence of an applied voltage difference
V
between the electrodes, the nematic director exhibits partial
ordering along the channel in both the N and N
F
phases (Fig. 1c), probably because of the residual roughness of
the channels walls. By applying a voltage
V
, which gives rise to a “nominal” electric field
E0V/`
, the N
F
ordering becomes virtually perfect in all four channels (Fig. 1c-d) when
E0>0.25 V/mm
, while no significant effect
is visible in the N phase for fields up to
E050 V/mm
. We closely inspected the field-induced N
F
alignment by
polarized transmission optical microscopy (PTOM) and found no sign of either defect lines or defect walls even in the
curved sections of the channels that bend contrary to the naïve electrode-to-electrode direction expected for
E0
in
uniform dielectrics (Fig. 1e). This finding indicates that under these conditions both the nematic director
n
and the
polarization
P
are always nearly parallel to the solid surface and continuously follow the channel, as sketched in Fig.
1f. The continuity of N
F
polarization along the channels also implies a similar continuity of the electric field, which
thus follows the channels rather than being directed along the paths connecting the electrodes as in homogeneous
dielectric media. This behavior is not dissimilar to what happens in a bent conductive wire between electrodes, where
the surface accumulation of free charges steers the field along the wire, independently of its path. In N
F
this same effect
must be obtained with bound charges.
2
Superscreening and polarization control in confined ferroelectric nematic liquids
Figure 1: Ferroelectric nematic ordering in microchannels. a: drawing of the buried microchannels. Yellow cylinders
represent the gold wire electrodes. b: pictures of the 4 channels considered in this work, designed so that the central
part forms an angle of 0
°
, 90
°
, 135
°
and 180
°
with respect to the x axis. c: PTOM microscope pictures between cross
polarizers in the absence (left) and in presence (right) of an electric field of the “I” channel filled with RM734. The fully
dark appearance of the channel in the bottom-right picture indicates that in the presence of a field, the orientation of the
N director is along the channel. d: PTOM microscope pictures between cross polarizers of the Z, L and S channels,
respectively, oriented so that the lateral portions are at 45
°
(top panels) or along (bottom panels) the analyzer while
V= 1V
is applied to the electrodes. e: enlargement of a curved portion of the Z channel at various orientations with
respect to the polarizer, as indicated. f: sketch of the continuity of the direction of the polarization
P
(green arrows)
within the S channel indicating that, in its central section, the polarization is pointing in the opposite direction with
respect to the nominal applied electric field E0.
3
摘要:

SUPERSCREENINGANDPOLARIZATIONCONTROLINCONFINEDFERROELECTRICNEMATICLIQUIDSFedericoCaimi1,GiovanniNava1,SusannaFuschetto1,LianaLucchetti2,PetraPaiè3,RobertoOsellame4,XiChen5,NoelA.Clark5,MatthewGlaser5*,andTommasoBelliniy1*1Dept.ofMedicalBiotechnologyandTranslationalMedicine,UniversityofMilano,Italy2...

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