# What is particle-particle or particle-hole susceptibility

• gefro
In summary, particle-particle and particle-hole susceptibility are measures of a material's response to changes in its particle distribution. Particle-particle susceptibility refers to the response when two particles are added or removed, while particle-hole susceptibility refers to the response when a particle and a hole are added or removed. The susceptibility of a material can be affected by factors such as temperature, magnetic field, and the strength of interactions between particles. It can be measured experimentally or calculated theoretically, and is important in understanding superconductivity, magnetism, and other phenomena in materials. The study of particle-particle and particle-hole susceptibility has various applications in physics and engineering, including the development of new materials and the study of phase transitions and critical phenomena.
gefro
what is particle-particle or particle-hole susceptibility in condensed matter physics?
what is it good for and where does it come from?

How well do you know the Hubbard Model ? I know only a tiny bit, so I'll leave you with this link :

http://arxiv.org/PS_cache/cond-mat/pdf/9802/9802078.pdf

Last edited by a moderator:

Particle-particle or particle-hole susceptibility is a measure of the response of a system of particles to the addition or removal of a single particle. In condensed matter physics, it is a fundamental quantity that describes the collective behavior of particles in a solid or liquid state.

In simple terms, it is a measure of how easily particles can pair up (particle-particle) or how easily they can move around in response to the presence of an empty space (particle-hole). This susceptibility is closely related to the concept of correlation, which is the tendency of particles to interact with each other and influence each other's behavior.

This quantity is important in condensed matter physics because it provides insight into the behavior of many-body systems, where the interactions between particles can significantly affect the overall properties of the system. For example, in superconductors, the particle-particle susceptibility plays a crucial role in understanding the formation of Cooper pairs, which are responsible for the phenomenon of zero electrical resistance.

The particle-particle and particle-hole susceptibility can be calculated using mathematical models and techniques such as perturbation theory and mean-field theory. These calculations take into account the interactions between particles and provide a quantitative understanding of the collective behavior of the system.

In summary, particle-particle and particle-hole susceptibility are important quantities in condensed matter physics that provide insight into the collective behavior of particles in a solid or liquid state. They are calculated using mathematical models and are essential in understanding various phenomena in condensed matter systems.

## What is particle-particle or particle-hole susceptibility?

Particle-particle and particle-hole susceptibility are terms used in physics to describe the response of a material to the addition or removal of particles. They are measures of the material's ability to undergo changes in its particle distribution.

## How is particle-particle susceptibility different from particle-hole susceptibility?

Particle-particle susceptibility refers to the response of a material when two particles are added or removed, while particle-hole susceptibility refers to the response when a particle and a hole (empty state) are added or removed. Both measures are important in understanding the behavior of materials, especially in the study of superconductivity and magnetism.

## What are the factors that affect particle-particle or particle-hole susceptibility?

The susceptibility of a material can be affected by various factors such as temperature, magnetic field, and the strength of interactions between particles. In materials with strong interactions, the susceptibility is usually higher, making them more responsive to changes in particle distribution.

## How is particle-particle or particle-hole susceptibility measured?

Susceptibility can be measured experimentally by inducing changes in the material and observing the resulting response. For example, in the case of particle-particle susceptibility, the number of particles can be varied and the resulting changes in the material's properties can be measured. The susceptibility can also be calculated theoretically using mathematical models and simulations.

## What are the applications of studying particle-particle or particle-hole susceptibility?

Understanding the susceptibility of materials is important in many areas of physics and engineering, such as the development of new materials for electronics and energy storage. It is also crucial in the study of phase transitions and critical phenomena, and can provide insights into the behavior of complex systems such as superconductors and quantum liquids.

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