Multiply-complexed one-dimensional structure, multiply-twisted helix, multiply-looped ring structure and functional material

A multiply-complexed one-dimensional structure having a hierarchical structure in which a linear structure as an element of a one-dimensional structure having a finite curvature is made of a thinner one-dimensional structure having a finite curvature, characterized in:

• exhibiting a nature regulated by setting a curvature in case the one-dimensional structure is made of thinner one-dimensional structures.

A multiply-complexed one-dimensional structure having a hierarchical structure in which a linear structure as an element of a one-dimensional structure having a finite curvature is made of a thinner one-dimensional structure having a finite curvature, characterized in:

• having a dimensionality regulated by setting a curvature in case the one-dimensional structure is made of thinner one-dimensional structures.

A multiply-complexed one-dimensional structure having a hierarchical structure in which a linear structure as an element of a one-dimensional structure having a finite curvature is made of a thinner one-dimensional structure having a finite curvature, having a random potential introduced therein, and at least two one-dimensional structures bonded in at least one site, characterized in:

• a quantum chaos occurring therein being controlled by setting the intensity of said random potential, by setting the intensity of layer-to-layer bonding, by setting the curvature used when forming the one-dimensional structure from thinner one-dimensional structures, or by adding a magnetic impurity.

A functional material including in at least a portion thereof a multiply-complexed one-dimensional structure having a hierarchical structure in which a linear structure as an element of a one-dimensional structure having a finite curvature is made of thinner one-dimensional structures having a finite curvature, characterized in:

• at least two layers of said one-dimensional structures being bonded to each other in at least one site.

A functional material including in at least a portion thereof a multiply-complexed one-dimensional structure having a hierarchical structure in which a linear structure as an element of a one-dimensional structure having a finite curvature is made of thinner one-dimensional structures having a finite curvature, characterized in:

• said multiply-complexed one-dimensional structure exhibiting a nature regulated by setting the curvature used when the one-dimensional structure is made of thinner one-dimensional structures.

A functional material including in at least a portion thereof a multiply-complexed one-dimensional structure having a hierarchical structure in which a linear structure as an element of a one-dimensional structure having a finite curvature is made of thinner one-dimensional structures having a finite curvature, characterized in:

• said multiply-complexed one-dimensional structure having a dimensionality regulated by setting a curvature in case the one-dimensional structure is made of thinner one-dimensional structures.

A multiply-twisted helix having a hierarchical structure in which a linear structure as an element of a spiral structure is made of thinner spiral structures, characterized in:

• at least two layers of spiral structures being bonded in at least one site.

A multiply-twisted helix having a hierarchical structure in which a linear structure as an element of a spiral structure is made of thinner spiral structures, characterized in:

• exhibiting a nature regulated by setting a turn pitch in case the spiral structure is made of thinner spiral structures.

A multiply-twisted helix having a hierarchical structure in which a linear structure as an element of a spiral structure is made of thinner spiral structures, characterized in:

• having a dimensionality regulated by setting a turn pitch in case the spiral structure is made of thinner spiral structures.

A multiply-twisted helix having a hierarchical structure in which a linear structure as an element of a spiral structure is made of a thinner spiral structure, having a random potential introduced therein, and at least two spiral structures bonded in at least one site, characterized in:

• a quantum chaos occurring therein being controlled by setting the intensity of said random potential, by setting the intensity of layer-to-layer bonding, by setting the turn pitch used when forming the spiral structure from thinner spiral structures, or by adding a magnetic impurity.

A multiply-twisted helix having a hierarchical structure in which a linear structure as an element of a spiral structure is made of a thinner spiral structure, and having at least two layers of spiral structures bonded in at least one site, characterized in:

• the bonding performance between linear structures as elements of said spiral structure being controlled by a turn pitch in case of forming said spiral structure from thinner spiral structures, by the bonding force between said layers, or by a fluctuation in the bonding site between said at least two layers of spiral structures.

A functional material including in at least a portion thereof a multiply-twisted helix having a hierarchical structure in which a linear structure as an element of a spiral structure is made of thinner spiral structures, characterized in:

• at least two layers of spiral structures in said multiply-twisted helix being bonded in at least one site.

A functional material including in at least a part thereof a multiply-twisted helix having a hierarchical structure in which a linear structure as an element of a spiral structure is made of thinner spiral structures, characterized in:

• said multiply-twisted helix exhibiting a nature regulated by setting a turn pitch produced when the spiral structure is made of thinner spiral structures.

A functional material including in at least a part thereof a multiply-twisted helix having a hierarchical structure in which a linear structure as an element of a spiral structure is made of thinner spiral structures, characterized in:

• said multiply-twisted helix having a dimensionality regulated by setting a turn pitch in case the spiral structure is made of thinner spiral structures.

A multiply-looped ring structure having a hierarchical structure in which an annular structure as an element of a ring structure is made of a thinner ring structure, characterized in:

• at least two layers of ring structures being bonded in at least one site.

A multiply-looped ring structure having a hierarchical structure in which a linear structure as an element of a ring structure is made of a thinner ring structure, characterized in:

• exhibiting a nature regulated by setting a number of elements in case the ring structure is made of thinner ring structures.

A multiply-looped ring structure having a hierarchical structure in which a linear structure as an element of a ring structure is made of a thinner ring structure, characterized in:

• having a dimensionality regulated by setting a number of elements in case the ring structure is made of thinner ring structures.

A multiply-looped ring structure having a hierarchical structure in which a linear structure as an element of a ring structure is made of a thinner ring, having a random potential introduced therein, and at least two ring structures bonded in at least one site, characterized in:

• a quantum chaos occurring therein being controlled by-setting the intensity of said random potential, by setting the intensity of layer-to-layer bonding, by setting the number elements used when forming the ring structure from thinner ring structures, or by adding a magnetic impurity.

A functional material including in at least a portion thereof a multiply-looped ring structure having a hierarchical structure in which a linear structure as an element of a ring structure is made of thinner ring structures, characterized in:

• at least two layers of said ring structures being bonded to each other in at least one site.

A functional material including in at least a portion thereof a multiply-looped ring structure having a hierarchical structure in which a linear structure as an element of a ring structure is made of thinner ring structures, characterized in:

• said multiply-looped ring structure exhibiting a nature regulated by setting the number of elements used when the ring structure is made of thinner ring structures.

A functional material including in at least a portion thereof a multiply-loop ring structure having a hierarchical structure in which a linear structure as an element of a ring structure is made of thinner ring structures, characterized in:

• said multiply-looped ring structure having a dimensionality regulated by setting a number of elements in case the ring structure is made of thinner ring structures.