Brief report: Volume dependence of Grüneisen parameter for solids under extreme compression

Kumar, Sanjay; Sharma, S.; Pandey, O.P.

doi:10.1007/s12043-016-1220-z

Cited by 5 publications

(11 citation statements)

References 31 publications

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“…In addition to this, it is also possible to change the interaction directly by using Feshbach resonance [23,24]. This possibility suggests a new avenue for studying a novel interacting GP in addition to those defined by changes in volume or magnetic field [8,[11][12][13][14][15][16]18,[25][26][27][28][29][30]. Furthermore, we establish an exact identity between these various GPs, making use of the scaling properties of the quantum gas system.…”

Section: Introductionmentioning

confidence: 90%

“…Experimentally, it is easier to measure the magnetocaloric effect and, from Eq. (10), obtain mag instead of using its original definition (8). We can obtain the magnetic entropy change ∂S/∂H| N,T,V once we know the value of the specific heat.…”

Section: A Grüneisen Parameters In the Grand-canonical Ensemblementioning

confidence: 99%

“…So far, the GP has found diverse applications in geophysics [3,4], chemical physics [5,6], high-pressure physics, and plasma physics [7][8][9]. Recently, experiments have also started to investigate the GP in heavy-fermion systems [10][11][12], in which the physical properties at low temperatures are dominated by f electrons and their antiferromagnetic exchange interaction with the conduction electrons [13].…”

Section: Introductionmentioning

confidence: 99%

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Grüneisen parameters: Origin, identity, and quantum refrigeration

Zhang²,

Guan

2020

Phys. Rev. Research

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In solid-state physics, the Grüneisen parameter (GP) was first introduced to study the effect of volume change of a crystal lattice on its vibrational frequencies and has since been widely used to investigate the characteristic energy scales of systems associated with the changes of external potentials. However, the GP is less investigated in gas systems and especially strongly interacting quantum gases. Here we report on some general results on the origin of the GP, an identity, and caloric effects in ultracold quantum gases. We prove that there exists a simple identity among three different types of GPs, quantifying the caloric effect induced by variations of volume, magnetic field, and interaction, respectively. Using exact Bethe ansatz solutions, we present a rigorous study of these different GPs and the quantum refrigeration in one-dimensional Bose and Fermi gases. Based on the exact equations of states of these systems, we further obtain analytic results for singular behavior of the GPs and the caloric effects at quantum criticality. We also predict the existence of the lowest temperature for cooling near a quantum phase transition. It turns out that the interaction ramp up and down in quantum gases provide a promising protocol of quantum refrigeration in addition to the usual adiabatic demagnetization cooling in solid-state materials.

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Section: Introductionmentioning

confidence: 90%

Section: A Grüneisen Parameters In the Grand-canonical Ensemblementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Grüneisen parameters: Origin, identity, and quantum refrigeration

Zhang²,

Guan

2020

Phys. Rev. Research

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“…Usually, it was determined from the ratio of thermal expansion to specific heat, quantifying the pressure dependence of characteristic energy scales of solid materials. Nowadays, it is extensively studied in geophysics [3,4], plasma physics [5][6][7], chemistry physics [8,9] and various fields of physics. The GP has recently been investigated in heavy fermion systems [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…where S is the entropy. The magnetocaloric effect marks the change of temperature in response to an adiabatic change of H, see (6). This feature has been used for the adiabatic demagnetization cooling [22,23].…”

Section: Introductionmentioning

confidence: 99%

Grüneisen parameters for the Lieb-Liniger and Yang-Gaudin models

Guan

2019

Phys. Rev. B

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Using the Bethe ansatz solution, we analytically study expansionary, magnetic and interacting Grüneisen parameters (GPs) for one-dimensional (1D) Lieb-Liniger and Yang-Gaudin models. These different GPs elegantly quantify the dependences of characteristic energy scales of these quantum gases on the volume, the magnetic field and the interaction strength, revealing the caloric effects resulted from the variations of these potentials. The obtained GPs further confirm an identity which is incurred by the symmetry of the thermal potential. We also present universal scaling behavior of these GPs in the vicinities of the quantum critical points driven by different potentials. The divergence of the GPs not only provides an experimental identification of non-Fermi liquid nature at quantum criticality but also elegantly determine low temperature phases of the quantum gases. Moreover, the pairing and depairing features in the 1D attractive Fermi gases can be captured by the magnetic and interacting GPs, facilitating experimental observation of quantum phase transitions.Our results open to further study the interaction-and magnetic-field-driven quantum refrigeration and quantum heat engine in quantum gases of ultracold atoms.PACS numbers:

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