From 3682da92f89692ed5c633cf2cdc60f1204e3b93e Mon Sep 17 00:00:00 2001
From: waltergu <waltergu1989@gmail.com>
Date: Mon, 21 Nov 2022 09:43:22 +0800
Subject: [PATCH] =?UTF-8?q?Fix=20the=20bugs=20of=20=CE=93"z"=20and=20DM"z"?=
 =?UTF-8?q?.?=
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---
 .../CouplingsAmongDifferentDegreesOfFreedom.md            | 6 +++---
 src/QuantumSystems.jl                                     | 8 ++++----
 test/QuantumSystems.jl                                    | 4 ++--
 3 files changed, 9 insertions(+), 9 deletions(-)

diff --git a/docs/src/unitcell description framework/CouplingsAmongDifferentDegreesOfFreedom.md b/docs/src/unitcell description framework/CouplingsAmongDifferentDegreesOfFreedom.md
index 7fed5f8d..958e1638 100644
--- a/docs/src/unitcell description framework/CouplingsAmongDifferentDegreesOfFreedom.md	
+++ b/docs/src/unitcell description framework/CouplingsAmongDifferentDegreesOfFreedom.md	
@@ -294,12 +294,12 @@ Ising"z" => SparseMatrixCSC([0 0 0; 0 0 0; 0 0 1])
 # Γ terms
 Γ"x" => SparseMatrixCSC([0 0 0; 0 0 1; 0 1 0])
 Γ"y" => SparseMatrixCSC([0 0 1; 0 0 0; 1 0 0])
-Γ"z" => SparseMatrixCSC([0 1 0; 0 1 0; 0 0 0])
+Γ"z" => SparseMatrixCSC([0 1 0; 1 0 0; 0 0 0])
 
 # Dzyaloshinskii–Moriya terms
 DM"x" => SparseMatrixCSC([0 0 0; 0 0 1; 0 -1 0])
 DM"y" => SparseMatrixCSC([0 0 -1; 0 0 0; 1 0 0])
-DM"z" => SparseMatrixCSC([0 1 0; 0 -1 0; 0 0 0])
+DM"z" => SparseMatrixCSC([0 1 0; -1 0 0; 0 0 0])
 ```
 
 [`MatrixCoupling`](@ref)s can be producted or summed.
@@ -416,7 +416,7 @@ Hopping(
     id::Symbol,
     value,
     bondkind,
-    coupling=Coupling(Index(:, FID(:, :, :)), Index(:, FID(:, :, :));
+    coupling=Coupling(Index(:, FID(:, :, :)), Index(:, FID(:, :, :)));
     amplitude::Union{Function, Nothing}=nothing
 )
 
diff --git a/src/QuantumSystems.jl b/src/QuantumSystems.jl
index eb25e2db..af5211b7 100644
--- a/src/QuantumSystems.jl
+++ b/src/QuantumSystems.jl
@@ -657,28 +657,28 @@ end
 """
     Γ"x" => SparseMatrixCSC([0 0 0; 0 0 1; 0 1 0])
     Γ"y" => SparseMatrixCSC([0 0 1; 0 0 0; 1 0 0])
-    Γ"z" => SparseMatrixCSC([0 1 0; 0 1 0; 0 0 0])
+    Γ"z" => SparseMatrixCSC([0 1 0; 1 0 0; 0 0 0])
 
 The Γ coupling matrix.
 """
 macro Γ_str(str::String)
     str=="x" && return SparseMatrixCSC([0 0 0; 0 0 1; 0 1 0])
     str=="y" && return SparseMatrixCSC([0 0 1; 0 0 0; 1 0 0])
-    str=="z" && return SparseMatrixCSC([0 1 0; 0 1 0; 0 0 0])
+    str=="z" && return SparseMatrixCSC([0 1 0; 1 0 0; 0 0 0])
     error("@Γ_str error: wrong input string.")
 end
 
 """
     DM"x" => SparseMatrixCSC([0 0 0; 0 0 1; 0 -1 0])
     DM"y" => SparseMatrixCSC([0 0 -1; 0 0 0; 1 0 0])
-    DM"z" => SparseMatrixCSC([0 1 0; 0 -1 0; 0 0 0])
+    DM"z" => SparseMatrixCSC([0 1 0; -1 0 0; 0 0 0])
 
 The DM coupling matrix.
 """
 macro DM_str(str::String)
     str=="x" && return SparseMatrixCSC([0 0 0; 0 0 1; 0 -1 0])
     str=="y" && return SparseMatrixCSC([0 0 -1; 0 0 0; 1 0 0])
-    str=="z" && return SparseMatrixCSC([0 1 0; 0 -1 0; 0 0 0])
+    str=="z" && return SparseMatrixCSC([0 1 0; -1 0 0; 0 0 0])
     error("@DM_str error: wrong input string.")
 end
 
diff --git a/test/QuantumSystems.jl b/test/QuantumSystems.jl
index 3e891d1a..1c1d3cbf 100644
--- a/test/QuantumSystems.jl
+++ b/test/QuantumSystems.jl
@@ -610,13 +610,13 @@ end
 @testset "Γ" begin
     @test Γ"x" == SparseMatrixCSC([0 0 0; 0 0 1; 0 1 0])
     @test Γ"y" == SparseMatrixCSC([0 0 1; 0 0 0; 1 0 0])
-    @test Γ"z" == SparseMatrixCSC([0 1 0; 0 1 0; 0 0 0])
+    @test Γ"z" == SparseMatrixCSC([0 1 0; 1 0 0; 0 0 0])
 end
 
 @testset "DM" begin
     @test DM"x" == SparseMatrixCSC([0 0 0; 0 0 1; 0 -1 0])
     @test DM"y" == SparseMatrixCSC([0 0 -1; 0 0 0; 1 0 0])
-    @test DM"z" == SparseMatrixCSC([0 1 0; 0 -1 0; 0 0 0])
+    @test DM"z" == SparseMatrixCSC([0 1 0; -1 0 0; 0 0 0])
 end
 
 @testset "SpinTerm" begin