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Thermodynamic probes can be used to deduce microscopic internal dynamics of nanoscale quantum systems. Several direct entropy measurement protocols based on charge transport measurements have been proposed and experimentally applied to…

Mesoscale and Nanoscale Physics · Physics 2022-12-22 E. Pyurbeeva , J. O. Thomas , J. A. Mol

Entropy is a fundamental thermodynamic quantity indicative of the accessible degrees of freedom in a system. While it has been suggested that the entropy of a mesoscopic system can yield nontrivial information on emergence of exotic states,…

Mesoscale and Nanoscale Physics · Physics 2020-01-23 Yaakov Kleeorin , Holger Thierschmann , Hartmut Buhmann , Antoine Georges , Laurens W. Molenkamp , Yigal Meir

Entropy is one of the most fundamental quantities in physics. For systems with few degrees of freedom, the value of entropy provides a powerful insight into its microscopic dynamics, such as the number, degeneracy and relative energies of…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Eugenia Pyurbeeva , Jan A. Mol , Pascal Gehring

Every time a chemical reaction occurs, an energy exchange between reactants and environment exists, which is defined as the enthalpy of the reaction. In the last decades, research has resulted in an increasing number of devices at the…

The entropy of an electronic system offers important insights into the nature of its quantum mechanical ground state. This is particularly valuable in cases where the state is difficult to identify by conventional experimental probes, such…

Specific heat is a powerful probe offering insights into the entropy and excitation spectrum of the studied material. While it is well established, a key challenge remains the measurements of microcrystals or thin films especially in the…

Strongly Correlated Electrons · Physics 2025-07-16 Mari C. Cole , Maximilian T. Pelly , Craig V. Topping , Thomas Reindl , Ulrike Waizmann , Jürgan Weis , Andreas W. Rost

Single molecules are nanoscale thermodynamic systems with few degrees of freedom. Thus, the knowledge of their entropy can reveal the presence of microscopic electron transfer dynamics, that are difficult to observe otherwise. Here, we…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 Eugenia Pyurbeeva , Chunwei Hsu , David Vogel , Christina Wegeberg , Marcel Mayor , Herre van der Zant , Jan A. Mol , Pascal Gehring

We develop a theory of Coulomb blockade oscillations in transport and thermodynamic properties of a mesoscopic device having multiple charging energy modes. This setup can be realized using a nanoelectronic circuit comprising coupled hybrid…

Mesoscale and Nanoscale Physics · Physics 2025-01-23 D. B. Karki

The extension of thermodynamic principles to active matter remains a challenge due to the non-equilibrium nature inherent to active systems. In this study, we introduce a framework to assess entropy in our minimal macroscopic experiment…

Soft Condensed Matter · Physics 2024-09-26 Francesco Romanò , Michael Riedl

Entropy is one of the key thermodynamic variables reflecting changes in the state of matter. Unlike other thermodynamic variables, it is well-defined also for nonequilibrium steady states through its relation to information. Applying this…

Statistical Mechanics · Physics 2026-04-15 Haim Diamant , Gil Ariel

In our derivation of the second law of thermodynamics from the relation of adiabatic accessibility of equilibrium states we stressed the importance of being able to scale a system's size without changing its intrinsic properties. This…

Mathematical Physics · Physics 2015-06-19 Elliott H. Lieb , Jakob Yngvason

Entropy is a fundamental thermodynamic quantity that is a measure of the accessible microstates available to a system, with the stability of a system determined by the magnitude of the total entropy of the system. This is valid across truly…

Charged plasma and Fermi liquid are two distinct states of electronic matter intrinsic to dilute two-dimensional electron systems at elevated and low temperatures, respectively. Probing their thermodynamics represents challenge because of…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 A. Yu. Kuntsevich , Y. V. Tupikov , V. M. Pudalov , I. S. Burmistrov

We report the cooling of electrons in nanoelectronic Coulomb blockade thermometers below 4 mK. Above 7 mK the devices are in good thermal contact with the environment, well isolated from electrical noise, and not susceptible to…

We present a measurement and analysis scheme for determining traceable thermodynamic temperature at cryogenic temperatures using Coulomb blockade thermometry. The uncertainty of the electrical measurement is improved by utilizing two…

On-chip demagnetization refrigeration has recently emerged as a powerful tool for reaching microkelvin electron temperatures in nanoscale structures. The relative importance of cooling on-chip and off-chip components and the thermal…

Previous measurements utilizing Maxwell relations to measure change in entropy, $S$, demonstrated remarkable accuracy of measuring the spin-1/2 entropy of electrons in a weakly coupled quantum dot. However, these previous measurements…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Tim Child , Owen Sheekey , Silvia Lüscher , Saeed Fallahi , Geoffrey C. Gardner , Michael Manfra , Joshua Folk

In this paper, the single-particle-reduced entropy of a nanowire field-effect transistor (NWFET) in the Coulomb blockade regime is studied by means of a multi-configurational self-consistent Green's function approach. Assuming that the…

Mesoscale and Nanoscale Physics · Physics 2013-06-25 José María Castelo , Klaus Michael Indlekofer , Jörg Malindretos

Membrane based nanocalorimeters have been developed for ac calorimetry experiments. It has allowed highly sensitive measurements of heat capacity from solid state physics to complex systems like polymers and proteins. In this article we…

A microscopic understanding of the thermodynamic entropy in quantum systems has been a mystery ever since the invention of quantum mechanics. In classical physics, this entropy is believed to be the logarithm of the volume of phase space…

Quantum Physics · Physics 2013-05-08 J. M. Deutsch , Haibin Li , Auditya Sharma
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