little changes

1 files changed, 5 insertions, 5 deletions

diff --git a/main.tex b/main.tex
index 6a7ea85..c02215a 100644
--- a/main.tex
+++ b/main.tex
@@ -546,7 +546,7 @@ This motivates future ultrasound experiments done under
 pressure, where the depth of the cusp in the $\Bog$ modulus should deepen
 (perhaps with these commensurability jumps) at low pressure and approach zero
 as $q_*^4\sim(c_\perp/2D_\perp)^2$ near the Lifshitz point. 
-Alternatively, \rus\ done at ambient pressure might examine the heavy fermi
+Alternatively, \rus\ done at ambient pressure might examine the heavy Fermi
 liquid to \afm\ transition by doping. Though previous \rus\ studies have doped
 \urusi\ with Rhodium,\cite{yanagisawa_ultrasonic_2014} the magnetic nature of
 Rhodium ions likely artificially promotes magnetic phases. A dopant like
@@ -605,12 +605,12 @@ in the associated elastic modulus. In this picture, the \ho\ phase is
 characterized by uniaxial modulated $\Bog$ order, while the high pressure phase
 is characterized by uniform $\Bog$ order. 
 
-The coinciding of our theory's orthorhombic high-pressure phase and \urusi's
+The coincidence of our theory's orthorhombic high-pressure phase and \urusi's
 \afm\ is compelling, but our mean field theory does not make any explicit
-connection with the physics of \afm.  This may be reasonable since correlations
-often lead to \afm\ as a secondary effect, like in many Mott insulators. An
+connection with the physics of \afm. Neglecting this physics could be reasonable since correlations
+often lead to \afm\ as a secondary effect, like what occurs in many Mott insulators. An
 electronic theory of this phase diagram may find that the \afm\ observed in
-\urusi\ indeed follows along with a high-pressure orthorhombic phase associated with
+\urusi\ indeed follows along with an independent high-pressure orthorhombic phase associated with
 uniform $\Bog$ electronic order. 
 
 The corresponding prediction of uniform $\Bog$ symmetry breaking in the high