diff --git a/Project.toml b/Project.toml
index 33776a3..014fedf 100644
--- a/Project.toml
+++ b/Project.toml
@@ -8,7 +8,7 @@ LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 TensorKit = "07d1fe3e-3e46-537d-9eac-e9e13d0d4cec"
 
 [compat]
-TensorKit = "0.13, 0.14"
+TensorKit = "0.14"
 julia = "1.10"
 
 [extras]
diff --git a/src/grassmann.jl b/src/grassmann.jl
index e4fc1fc..ac8d5df 100644
--- a/src/grassmann.jl
+++ b/src/grassmann.jl
@@ -26,10 +26,11 @@ mutable struct GrassmannTangent{T<:AbstractTensorMap,
                               Z::AbstractTensorMap{TT₂,S,N₁,N₂}) where {TT₁,TT₂,S,N₁,N₂}
         T = typeof(W)
         TT = promote_type(float(scalartype(W)), scalartype(Z))
+        Tr = real(TT)
         M = similarstoragetype(W, TT)
-        Mr = similarstoragetype(W, real(TT))
+        Mr = similarstoragetype(W, Tr)
         TU = tensormaptype(S, N₁, 1, M)
-        TS = isreal(sectortype(S)) ? tensormaptype(S, 1, 1, Mr) : tensormaptype(S, 1, 1, M)
+        TS = DiagonalTensorMap{Tr,S,Mr}
         TV = tensormaptype(S, 1, N₂, M)
         return new{T,TU,TS,TV}(W, Z, nothing, nothing, nothing)
     end