A method for cutting off a solid body portion, in particular a solid body layer, from a solid body, wherein the solid body portion, which has to be cut off, is thinner than the solid body reduced by the solid body portion, comprising at least the following steps: providing a solid body, which is to be processed, wherein the solid body is made of a chemical compound; providing a LASER light source; applying LASER radiation from the LASER light source to the solid body, wherein the laser beams penetrate into the solid body via a surface of the solid body portion, which has to be cut off, wherein the LASER radiation controls the temperature of a predefined portion of the solid body inside the solid body in a defined manner such that a detachment zone or a plurality of partial detachment zones (25, 27, 28, 29) is formed, wherein the temperature produced by the laser beams in the predefined portion of the solid body is so high that the material forming the predefined portion is subject to modifications in the form of a predetermined conversion of material, and characterized by the steps: arranging a receiving layer on the solid body, applying a temperature to the receiving layer for, in particular mechanically, generating crack expansion stresses in the solid body, wherein a crack expands in the solid body along the detachment zone due to the crack expansion stresses. providing a solid body, which is to be processed, wherein the solid body is made of a chemical compound; providing a LASER light source; applying LASER radiation from the LASER light source to the solid body, wherein the laser beams penetrate into the solid body via a surface of the solid body portion, which has to be cut off, wherein the LASER radiation controls the temperature of a predefined portion of the solid body inside the solid body in a defined manner such that a detachment zone or a plurality of partial detachment zones (25, 27, 28, 29) is formed, wherein the temperature produced by the laser beams in the predefined portion of the solid body is so high that the material forming the predefined portion is subject to modifications in the form of a predetermined conversion of material, wherein the laser beams penetrate into the solid body via a surface of the solid body portion, which has to be cut off, wherein the LASER radiation controls the temperature of a predefined portion of the solid body inside the solid body in a defined manner such that a detachment zone or a plurality of partial detachment zones (25, 27, 28, 29) is formed, wherein the temperature produced by the laser beams in the predefined portion of the solid body is so high that the material forming the predefined portion is subject to modifications in the form of a predetermined conversion of material, and characterized by the steps: arranging a receiving layer on the solid body, applying a temperature to the receiving layer for, in particular mechanically, generating crack expansion stresses in the solid body, wherein a crack expands in the solid body along the detachment zone due to the crack expansion stresses. arranging a receiving layer on the solid body, applying a temperature to the receiving layer for, in particular mechanically, generating crack expansion stresses in the solid body, wherein a crack expands in the solid body along the detachment zone due to the crack expansion stresses.